Ming-Rui Liu, Li-Bing Wu, Ming Chen, Guo-Fei Cui, Qi Chen
This article investigates a model-based event-triggered adaptive leaderless consensus control problem for one category of nonlinear pure-feedback multi-agent systems (MASs). The implicit function-based median theorem for decoupling is applied to deal with the over-fuzzy as well as feedback linearization issues. The feature extraction approach is introduced to solve the difficulty of unequal dimensionality of variables due to the inter-agents information interaction. Then, by constructing the corresponding adaptive model and utilizing event-based neural network (NN), a novel distributed design methodology for MAS-based control input and agent weight-based dynamic triggering threshold is presented. Through the impulse-based Lyapunov theory analysis, the designed strategy not just guarantees the stability of the proposed system but then also ensures the boundedness of all signals within the closed-loop system. Eventually, after verifying the absence of Zeno behavior and ensuring the achievement of the desired consensus tracking, the usefulness of the developed control scheme is justified by a numerical simulation instance.
摘要 本文研究了一类非线性纯反馈多代理系统(MAS)的基于模型的事件触发自适应无领导共识控制问题。应用基于隐函数的中值定理进行解耦,以解决过度模糊和反馈线性化问题。引入了特征提取方法,以解决因代理间信息交互而导致的变量不等维度的难题。然后,通过构建相应的自适应模型并利用基于事件的神经网络(NN),提出了一种基于 MAS 的控制输入和基于代理权重的动态触发阈值的新型分布式设计方法。通过基于脉冲的 Lyapunov 理论分析,所设计的策略不仅保证了拟议系统的稳定性,还确保了闭环系统内所有信号的有界性。最后,在验证不存在芝诺行为并确保实现所需的共识跟踪后,通过数值模拟实例证明了所开发控制方案的实用性。
{"title":"Model-based event-triggered leaderless consensus control for nonlinear pure-feedback multi-agent systems","authors":"Ming-Rui Liu, Li-Bing Wu, Ming Chen, Guo-Fei Cui, Qi Chen","doi":"10.1002/asjc.3486","DOIUrl":"10.1002/asjc.3486","url":null,"abstract":"<div>\u0000 \u0000 <p>This article investigates a model-based event-triggered adaptive leaderless consensus control problem for one category of nonlinear pure-feedback multi-agent systems (MASs). The implicit function-based median theorem for decoupling is applied to deal with the over-fuzzy as well as feedback linearization issues. The feature extraction approach is introduced to solve the difficulty of unequal dimensionality of variables due to the inter-agents information interaction. Then, by constructing the corresponding adaptive model and utilizing event-based neural network (NN), a novel distributed design methodology for MAS-based control input and agent weight-based dynamic triggering threshold is presented. Through the impulse-based Lyapunov theory analysis, the designed strategy not just guarantees the stability of the proposed system but then also ensures the boundedness of all signals within the closed-loop system. Eventually, after verifying the absence of Zeno behavior and ensuring the achievement of the desired consensus tracking, the usefulness of the developed control scheme is justified by a numerical simulation instance.</p>\u0000 </div>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"973-986"},"PeriodicalIF":2.7,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fuel cell stack (FCS) is a practical power source for new energy vehicle applications, and fuel economy is a problem that many researchers are concerned about. In this paper, an adaptive real-time control strategy aiming at improving fuel efficiency is proposed; the control purpose is to distribute the power requirement between the FCS and the battery to achieve good fuel economy. First, the FCS model is built according to experiment data, and in order to reflect the affection of the temperature to the proposed control strategy, the thermal model of the battery is established. Then the future power requirement is predicted via Bayes inference analysis. Based on the FCS model, the battery model, and the predicted power requirement, the real-time control strategy is designed and solved with minimization principle optimization over the receding horizon. The proposed control strategy is validated both through simulation and hardware-in-loop (Hil) experiments on a 40 kW FCS. The results compared with the rule-based (RB) strategy and the loss minimum strategy (LMS) show that the proposed control strategy can effectively reduce fuel consumption by 4%, and at the same time, it can help extend the life span of the battery by considering the temperature affection.
{"title":"Adaptive optimal control strategy of fuel economy for fuel cell battery storage system using in HEV applications","authors":"Jiangtao Fu, Yulin Fu, Zhumu Fu, Shuzhong Song","doi":"10.1002/asjc.3490","DOIUrl":"10.1002/asjc.3490","url":null,"abstract":"<p>Fuel cell stack (FCS) is a practical power source for new energy vehicle applications, and fuel economy is a problem that many researchers are concerned about. In this paper, an adaptive real-time control strategy aiming at improving fuel efficiency is proposed; the control purpose is to distribute the power requirement between the FCS and the battery to achieve good fuel economy. First, the FCS model is built according to experiment data, and in order to reflect the affection of the temperature to the proposed control strategy, the thermal model of the battery is established. Then the future power requirement is predicted via Bayes inference analysis. Based on the FCS model, the battery model, and the predicted power requirement, the real-time control strategy is designed and solved with minimization principle optimization over the receding horizon. The proposed control strategy is validated both through simulation and hardware-in-loop (Hil) experiments on a 40 kW FCS. The results compared with the rule-based (RB) strategy and the loss minimum strategy (LMS) show that the proposed control strategy can effectively reduce fuel consumption by 4%, and at the same time, it can help extend the life span of the battery by considering the temperature affection.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"1020-1032"},"PeriodicalIF":2.7,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The problem of recursive set-membership filter design for two-dimensional (2-D) systems subject to FlexRay communication protocol and hybrid cyber attacks (HCAs) is investigated in this article. The FlexRay protocol that integrates time-triggered and event-triggered mechanisms and involves a series of pre-defined communication cycles based on bidirectional metrics is developed to alleviate the network bandwidth load. Furthermore, the envisioned system is exposed to false data injection and denial-of-service attacks that occur in a randomized manner. Subsequently, the dynamic filtering error system (FES) subject to bidirectional evolutionary HCAs and FlexRay scheduling protocol is constructed. Then, sufficient conditions are obtained such that the dynamic FES consistently resides within an ellipsoidal set by utilizing double mathematical induction and recursive linear matrix inequalities (RLMIs). Moreover, the optimal filtering algorithm is given by minimizing the ellipsoidal constraints from the perspective of the traces of the matrix. The effectiveness of the presented recursive set-membership filter design approach is validated by a long-distance transmission line example.
{"title":"Recursive set-membership filtering for two-dimensional shift-varying systems with FlexRay protocol and hybrid cyber attacks","authors":"Pan Zhang, Chaoqun Zhu, Zhiwen Wang, Bin Yang","doi":"10.1002/asjc.3478","DOIUrl":"10.1002/asjc.3478","url":null,"abstract":"<p>The problem of recursive set-membership filter design for two-dimensional (2-D) systems subject to FlexRay communication protocol and hybrid cyber attacks (HCAs) is investigated in this article. The FlexRay protocol that integrates time-triggered and event-triggered mechanisms and involves a series of pre-defined communication cycles based on bidirectional metrics is developed to alleviate the network bandwidth load. Furthermore, the envisioned system is exposed to false data injection and denial-of-service attacks that occur in a randomized manner. Subsequently, the dynamic filtering error system (FES) subject to bidirectional evolutionary HCAs and FlexRay scheduling protocol is constructed. Then, sufficient conditions are obtained such that the dynamic FES consistently resides within an ellipsoidal set by utilizing double mathematical induction and recursive linear matrix inequalities (RLMIs). Moreover, the optimal filtering algorithm is given by minimizing the ellipsoidal constraints from the perspective of the traces of the matrix. The effectiveness of the presented recursive set-membership filter design approach is validated by a long-distance transmission line example.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"797-816"},"PeriodicalIF":2.7,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, trajectory tracking control is investigated for a wheeled mobile robot with one unpowered trailer using an extended state observer (ESO). The unpowered trailer is added to improve load capacity, which results in a large impact on trajectory tracking as a slow-varying and large disturbance. A backstepping controller is proposed to generate desired velocities in an outer loop of a double closed-loop structure. The ESO is employed in an inner loop to estimate the slow-varying and large disturbance from the unpowered trailer. An integral sliding mode controller is also designed in the inner loop to track the desired velocities from the outer loop. Stability analysis for the ESO, the backstepping controller and the integral sliding mode controller is conducted via Lyapunov methods. Simulation results are provided to show the effectiveness of the trajectory tracking control for a wheeled mobile robot with one unpowered trailer.
{"title":"Extended state observer-based trajectory tracking control of a wheeled mobile robot with one unpowered trailer","authors":"Hongjiu Yang, Ran Dang, Peng Li","doi":"10.1002/asjc.3489","DOIUrl":"10.1002/asjc.3489","url":null,"abstract":"<p>In this paper, trajectory tracking control is investigated for a wheeled mobile robot with one unpowered trailer using an extended state observer (ESO). The unpowered trailer is added to improve load capacity, which results in a large impact on trajectory tracking as a slow-varying and large disturbance. A backstepping controller is proposed to generate desired velocities in an outer loop of a double closed-loop structure. The ESO is employed in an inner loop to estimate the slow-varying and large disturbance from the unpowered trailer. An integral sliding mode controller is also designed in the inner loop to track the desired velocities from the outer loop. Stability analysis for the ESO, the backstepping controller and the integral sliding mode controller is conducted via Lyapunov methods. Simulation results are provided to show the effectiveness of the trajectory tracking control for a wheeled mobile robot with one unpowered trailer.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"1008-1019"},"PeriodicalIF":2.7,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper proposes a fixed-time convergence adaptive sliding mode fault-tolerant controller (ASFTC) to address the air cushion vehicle (ACV) trajectory tracking problem under unknown environmental disturbances and actuator faults. The introduced method enhances the robustness and reduces the chattering of the controller, by proposing an initial state-independent fixed-time convergence method combined with a global sliding mode surface which has the advantage of quickly reaching the “sliding mode”. The model knowledge neural network (MKNN) method is employed to eliminate uncertain parameter effects, and it adjusts disturbance and fault estimates in real time based on tracking errors without the need for upper-bound disturbance information and additional observer compensation. Finally, simulations validate the effectiveness of the proposed adaptive fault-tolerant control system.
{"title":"Adaptive fault-tolerant control for air cushion vehicle with fixed-time convergence","authors":"Bai Dan, Fu Mingyu, Deng Hanbo, Wang Qiusu","doi":"10.1002/asjc.3452","DOIUrl":"10.1002/asjc.3452","url":null,"abstract":"<p>This paper proposes a fixed-time convergence adaptive sliding mode fault-tolerant controller (ASFTC) to address the air cushion vehicle (ACV) trajectory tracking problem under unknown environmental disturbances and actuator faults. The introduced method enhances the robustness and reduces the chattering of the controller, by proposing an initial state-independent fixed-time convergence method combined with a global sliding mode surface which has the advantage of quickly reaching the “sliding mode”. The model knowledge neural network (MKNN) method is employed to eliminate uncertain parameter effects, and it adjusts disturbance and fault estimates in real time based on tracking errors without the need for upper-bound disturbance information and additional observer compensation. Finally, simulations validate the effectiveness of the proposed adaptive fault-tolerant control system.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"553-563"},"PeriodicalIF":2.7,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article, we explore the group output tracking consensus problem for discrete-time strict-feedback -order nonlinear multiagent systems that run repeatedly on finite time . A novel distributed adaptive iterative learning group consensus protocol is designed, which consists of two main components. The first component is based on time-varying neural networks, which is used to approximate the unknown nonlinear function in the -step ahead predictor. In general, not all followers can access the information regarding the leader, which complicates the design of iterative learning protocols for MASs. Therefore, the second component of the protocol addresses this challenge by treating the leader's output as a time-varying parameter and designing a time-varying auxiliary term to compensate the leader's output information. Parameter updating laws and initial state learning laws are also proposed via the cooperative-competitive relationship between the agents. We demonstrate the group consensus with sufficient small errors can be achieved at time , as the number of iterations proceed to infinity. Then, the results are extended to the case of multisubgroups and multileaders. Finally, two simulations validate the findings of this article.
本文探讨了在有限时间内重复运行的离散-时严格反馈-阶非线性多代理系统的群体输出跟踪共识问题。我们设计了一种新颖的分布式自适应迭代学习小组共识协议,它由两个主要部分组成。第一个部分基于时变神经网络,用于近似超前预测器中的未知非线性函数。一般来说,并非所有追随者都能获取领导者的信息,这使得 MAS 的迭代学习协议设计变得复杂。因此,协议的第二部分将领导者的输出视为时变参数,并设计一个时变辅助项来补偿领导者的输出信息,从而解决了这一难题。我们还通过代理之间的合作竞争关系提出了参数更新法则和初始状态学习法则。然后,我们将结果扩展到多分组和多领导的情况。最后,两个模拟验证了本文的结论。
{"title":"Adaptive learning control for group consensus tracking of discrete nonlinear multiagent systems","authors":"Qianhui Gao, Jinsha Li, Junmin Li","doi":"10.1002/asjc.3477","DOIUrl":"10.1002/asjc.3477","url":null,"abstract":"<p>In this article, we explore the group output tracking consensus problem for discrete-time strict-feedback \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math>-order nonlinear multiagent systems that run repeatedly on finite time \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>{</mo>\u0000 <mn>0</mn>\u0000 <mo>,</mo>\u0000 <mo>…</mo>\u0000 <mo>,</mo>\u0000 <mi>T</mi>\u0000 <mo>}</mo>\u0000 </mrow>\u0000 <annotation>$$ left{0,dots, Tright} $$</annotation>\u0000 </semantics></math>. A novel distributed adaptive iterative learning group consensus protocol is designed, which consists of two main components. The first component is based on time-varying neural networks, which is used to approximate the unknown nonlinear function in the \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math>-step ahead predictor. In general, not all followers can access the information regarding the leader, which complicates the design of iterative learning protocols for MASs. Therefore, the second component of the protocol addresses this challenge by treating the leader's output as a time-varying parameter and designing a time-varying auxiliary term to compensate the leader's output information. Parameter updating laws and initial state learning laws are also proposed via the cooperative-competitive relationship between the agents. We demonstrate the group consensus with sufficient small errors can be achieved at time \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>{</mo>\u0000 <mi>n</mi>\u0000 <mo>,</mo>\u0000 <mo>…</mo>\u0000 <mo>,</mo>\u0000 <mi>T</mi>\u0000 <mo>}</mo>\u0000 </mrow>\u0000 <annotation>$$ left{n,dots, Tright} $$</annotation>\u0000 </semantics></math>, as the number of iterations proceed to infinity. Then, the results are extended to the case of multisubgroups and multileaders. Finally, two simulations validate the findings of this article.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"863-875"},"PeriodicalIF":2.7,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Siddhartha Ganguly, Souvik Das, Debasish Chatterjee, Ravi Banavar
Limited bandwidth and limited saturation in actuators are practical concerns in control systems. Mathematically, these limitations manifest as constraints imposed on the control actions, their rates of change, and, more generally, the global behavior of their paths. While the problem of actuator saturation has been studied extensively, little attention has been devoted to the problem of actuators having limited bandwidth. While attempts have been made in the direction of incorporating frequency constraints on state-action trajectories before, rate constraints on the control at the design stage have not been studied extensively in the discrete-time regime. This article contributes toward filling this lacuna: We establish a new discrete-time Pontryagin maximum principle with rate constraints imposed on the control trajectories and derive first-order necessary conditions for optimality. A brief discussion on the existence of optimal control is also included.
{"title":"Discrete-time Pontryagin maximum principle under rate constraints: Necessary conditions for optimality","authors":"Siddhartha Ganguly, Souvik Das, Debasish Chatterjee, Ravi Banavar","doi":"10.1002/asjc.3482","DOIUrl":"10.1002/asjc.3482","url":null,"abstract":"<div>\u0000 \u0000 <p>Limited bandwidth and limited saturation in actuators are practical concerns in control systems. Mathematically, these limitations manifest as constraints imposed on the control actions, their rates of change, and, more generally, the global behavior of their paths. While the problem of actuator saturation has been studied extensively, little attention has been devoted to the problem of actuators having limited bandwidth. While attempts have been made in the direction of incorporating frequency constraints on state-action trajectories before, rate constraints on the control at the design stage have not been studied extensively in the discrete-time regime. This article contributes toward filling this lacuna: We establish a new discrete-time Pontryagin maximum principle with <i>rate constraints</i> imposed on the control trajectories and derive first-order necessary conditions for optimality. A brief discussion on the existence of optimal control is also included.</p>\u0000 </div>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"852-862"},"PeriodicalIF":2.7,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we study the Hurwitz stability of polynomials. By considering that a degree Hurwitz polynomial has its corresponding Markov parameters, we define the set in Section 3, we also define . Based on properties of the Hankel matrices and the stability test, as well as by using ideas of differential topology, we show that is a fiber bundle with a base. This result allows us to obtain an interesting application: Given a Hurwitz polynomial, we can generate two families of positive definite Hankel matrices.
{"title":"Stability analysis of polynomials with an approach of differential topology","authors":"Eleazar López-Flores, Baltazar Aguirre-Hernández, Martín Eduardo Frías-Armenta","doi":"10.1002/asjc.3476","DOIUrl":"10.1002/asjc.3476","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we study the Hurwitz stability of polynomials. By considering that a \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mi>m</mi>\u0000 <mo>−</mo>\u0000 </mrow>\u0000 <annotation>$$ 2m- $$</annotation>\u0000 </semantics></math>degree Hurwitz polynomial has its corresponding Markov parameters, we define the set \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mtext>Hankel</mtext>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mi>m</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {Hankel}_{2m} $$</annotation>\u0000 </semantics></math> in Section 3, we also define \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mtext>Hankel</mtext>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mi>m</mi>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {Hankel}_{2m-1} $$</annotation>\u0000 </semantics></math>. Based on properties of the Hankel matrices and the stability test, as well as by using ideas of differential topology, we show that \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mtext>Hankel</mtext>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mi>m</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {Hankel}_{2m} $$</annotation>\u0000 </semantics></math> is a fiber bundle with a \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mtext>Hankel</mtext>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mi>m</mi>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {Hankel}_{2m-1} $$</annotation>\u0000 </semantics></math> base. This result allows us to obtain an interesting application: Given a Hurwitz polynomial, we can generate two families of positive definite Hankel matrices.</p>\u0000 </div>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"1068-1074"},"PeriodicalIF":2.7,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhenghao Ni, Feng Li, Lei Su, Xihong Fei, Jing Wang
This article considers the filtering problem for 2-D Markov jump Roesser systems, in which the measurement signal is transmitted via analog fading channels. The time-varying amplitude attenuation of the analog fading channels is described by the fading gain modeled as a random variable. The hidden Markov model is used to deal with the mode mismatch phenomenon between the plant and the filter, then a full-order asynchronous filter is designed for 2-D Markov jump Roesser systems under analog fading channels. The purpose is to introduce a filter to guarantee that the filtering error system is not only asymptotically mean square stable, but also satisfies the disturbance attenuation performance. An improved decoupling method is proposed to acquire the 2-D filter parameters such that the conservatism of the 2-D filter designed law can be effectively reduced. Finally, a verification example and Darboux equation are given to illustrate the validity of the introduced asynchronous filter design law.
{"title":"Hidden Markov model-based filtering for 2-D Markov jump Roesser systems subject to analog fading channels","authors":"Zhenghao Ni, Feng Li, Lei Su, Xihong Fei, Jing Wang","doi":"10.1002/asjc.3479","DOIUrl":"10.1002/asjc.3479","url":null,"abstract":"<p>This article considers the filtering problem for 2-D Markov jump Roesser systems, in which the measurement signal is transmitted via analog fading channels. The time-varying amplitude attenuation of the analog fading channels is described by the fading gain modeled as a random variable. The hidden Markov model is used to deal with the mode mismatch phenomenon between the plant and the filter, then a full-order asynchronous filter is designed for 2-D Markov jump Roesser systems under analog fading channels. The purpose is to introduce a filter to guarantee that the filtering error system is not only asymptotically mean square stable, but also satisfies the \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {mathcal{H}}_{infty } $$</annotation>\u0000 </semantics></math> disturbance attenuation performance. An improved decoupling method is proposed to acquire the 2-D filter parameters such that the conservatism of the 2-D filter designed law can be effectively reduced. Finally, a verification example and Darboux equation are given to illustrate the validity of the introduced asynchronous filter design law.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"876-889"},"PeriodicalIF":2.7,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper proposes a super-twisting controller based on a PI-based surface for a buck converter with matched disturbance. Standard sliding mode control (SMC) has some well-known drawbacks: the chattering effect and parameter restriction, which determines how quickly the controller accesses the sliding surface and the steady-state error. First, the super-twisting algorithm is employed in the control rule of the proposed controller to suppress the chattering effect. Then, parameter limitation, another deficiency of the SMC, has been eliminated by employing a PI-based surface. The PI-based surface also improves the controller's adjustment parameters by developing adaptability in parameter choices. The buck converter's dynamic response is enhanced by the addition of a novel parameter to the sliding surface of the suggested controller. Furthermore, Lyapunov stability analysis is described in order to evaluate the theoretical stability of the proposed controller. The efficacy of the suggested controller has been demonstrated through an array of simulations and an experimental configuration across various evaluation conditions. The simulation and experimental results show that the reference-tracking capability is effective in the presence of disturbances. Furthermore, the proposed switching rule effectively eliminates the chattering effect. The suggested controller outperforms existing techniques in terms of both dynamic performance and disturbance robustness.
本文针对具有匹配干扰的降压转换器,提出了一种基于 PI 表面的超扭曲控制器。标准滑模控制(SMC)存在一些众所周知的缺点:颤振效应和参数限制,参数限制决定了控制器进入滑动面的速度和稳态误差。首先,在拟议控制器的控制规则中采用了超扭曲算法来抑制颤振效应。然后,通过采用基于 PI 的曲面,消除了 SMC 的另一个不足--参数限制。基于 PI 的曲面还通过开发参数选择的适应性来改进控制器的调节参数。通过在建议控制器的滑动面上添加一个新参数,降压转换器的动态响应得到了增强。此外,还介绍了 Lyapunov 稳定性分析,以评估建议控制器的理论稳定性。通过一系列模拟和各种评估条件下的实验配置,证明了建议控制器的功效。仿真和实验结果表明,在存在干扰的情况下,参考跟踪能力是有效的。此外,建议的开关规则还能有效消除颤振效应。建议的控制器在动态性能和干扰鲁棒性方面都优于现有技术。
{"title":"Super twisting controller using proportional integral-based sliding surface for buck converter with disturbances","authors":"Ferhat Bodur, Orhan Kaplan","doi":"10.1002/asjc.3474","DOIUrl":"10.1002/asjc.3474","url":null,"abstract":"<p>This paper proposes a super-twisting controller based on a PI-based surface for a buck converter with matched disturbance. Standard sliding mode control (SMC) has some well-known drawbacks: the chattering effect and parameter restriction, which determines how quickly the controller accesses the sliding surface and the steady-state error. First, the super-twisting algorithm is employed in the control rule of the proposed controller to suppress the chattering effect. Then, parameter limitation, another deficiency of the SMC, has been eliminated by employing a PI-based surface. The PI-based surface also improves the controller's adjustment parameters by developing adaptability in parameter choices. The buck converter's dynamic response is enhanced by the addition of a novel parameter to the sliding surface of the suggested controller. Furthermore, Lyapunov stability analysis is described in order to evaluate the theoretical stability of the proposed controller. The efficacy of the suggested controller has been demonstrated through an array of simulations and an experimental configuration across various evaluation conditions. The simulation and experimental results show that the reference-tracking capability is effective in the presence of disturbances. Furthermore, the proposed switching rule effectively eliminates the chattering effect. The suggested controller outperforms existing techniques in terms of both dynamic performance and disturbance robustness.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"565-577"},"PeriodicalIF":2.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/asjc.3474","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141883640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}