Pub Date : 2024-06-26DOI: 10.1016/j.ejcon.2024.101075
Yilun Shang
This paper studies the resilient consensus problems under -hop communication over directed random networks. We develop novel multi-hop protocols to tackle both leaderless and leader–follower consensus with a single leader when the multiagent system is under both attack from Byzantine agents and failure of communication edges. Our unified framework features a multiple-input multiple-output system design, and generalizes the weighted mean subsequence reduced algorithms, in which extremal values in the -hop neighborhood of a cooperative agent are censored based on the notion of minimum message cover. We establish conditions on dynamical network structures, under which secure consensus with vector states can be achieved in the sense of almost sure convergence.
{"title":"Resilient leaderless and leader–follower consensus over random networks through ℓ-hop communication","authors":"Yilun Shang","doi":"10.1016/j.ejcon.2024.101075","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101075","url":null,"abstract":"<div><p>This paper studies the resilient consensus problems under <span><math><mi>ℓ</mi></math></span>-hop communication over directed random networks. We develop novel multi-hop protocols to tackle both leaderless and leader–follower consensus with a single leader when the multiagent system is under both attack from Byzantine agents and failure of communication edges. Our unified framework features a multiple-input multiple-output system design, and generalizes the weighted mean subsequence reduced algorithms, in which extremal values in the <span><math><mi>ℓ</mi></math></span>-hop neighborhood of a cooperative agent are censored based on the notion of minimum message cover. We establish conditions on dynamical network structures, under which secure consensus with vector states can be achieved in the sense of almost sure convergence.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101075"},"PeriodicalIF":2.5,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0947358024001353/pdfft?md5=a41dde29e5061709d522d1db20d0212a&pid=1-s2.0-S0947358024001353-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-06-22DOI: 10.1016/j.ejcon.2024.101078
Feng Gao, Zhifeng Bai
Repetitive control (RC), which can track the periodic input or suppress the periodic disturbance with a zero steady-state error, is a promising control strategy for shunt active power filters (SAPF). However, the conventional RC (CRC) scheme will suffer a severe performance degradation caused by the grid frequency variations. In this article, a frequency-adaptive odd-harmonic repetitive control scheme with a single and fixed sampling rate is proposed for SAPF to deal with grid frequency variations and provide fast transient response for RC system. The frequency-adaptability of proposed repetitive control scheme can be implemented by updating the coefficients of the approximate expression for the delay unit in repetitive controller. The FIR filter based on Lagrange linear interpolation is used to transform the multirate repetitive control system into single-rate repetitive control system to address the problems caused by the multirate repetitive control system. Moreover, a fractional-order linear compensator with a simple structure is designed to compensate the magnitude and phase of the system accurately. Compared with other classical repetitive control strategies, the proposed repetitive control scheme can provide a better adaptation to the steady-state deviation and dynamic variation of grid frequency and ensure the control performance of SAPF system. Simulation and experimental results verify the effectiveness of the proposed control scheme.
重复控制(RC)可跟踪周期性输入或抑制周期性干扰,且稳态误差为零,是并联有源电力滤波器(SAPF)的一种有前途的控制策略。然而,传统的 RC(CRC)方案会因电网频率变化而导致性能严重下降。本文针对 SAPF 提出了一种频率自适应奇次谐波重复控制方案,该方案具有单一且固定的采样率,可应对电网频率变化并为 RC 系统提供快速瞬态响应。通过更新重复控制器中延迟单元近似表达式的系数,可以实现所提出的重复控制方案的频率适应性。针对多速率重复控制系统带来的问题,利用基于拉格朗日线性插值的 FIR 滤波器将多速率重复控制系统转换为单速率重复控制系统。此外,还设计了结构简单的分数阶线性补偿器,以精确补偿系统的幅值和相位。与其他经典的重复控制策略相比,所提出的重复控制方案能更好地适应电网频率的稳态偏差和动态变化,确保 SAPF 系统的控制性能。仿真和实验结果验证了所提控制方案的有效性。
{"title":"Frequency-adaptive odd-harmonic repetitive control scheme for three-phase shunt active power filters","authors":"Feng Gao, Zhifeng Bai","doi":"10.1016/j.ejcon.2024.101078","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101078","url":null,"abstract":"<div><p>Repetitive control (RC), which can track the periodic input or suppress the periodic disturbance with a zero steady-state error, is a promising control strategy for shunt active power filters (SAPF). However, the conventional RC (CRC) scheme will suffer a severe performance degradation caused by the grid frequency variations. In this article, a frequency-adaptive odd-harmonic repetitive control scheme with a single and fixed sampling rate is proposed for SAPF to deal with grid frequency variations and provide fast transient response for RC system. The frequency-adaptability of proposed repetitive control scheme can be implemented by updating the coefficients of the approximate expression for the delay unit in repetitive controller. The FIR filter based on Lagrange linear interpolation is used to transform the multirate repetitive control system into single-rate repetitive control system to address the problems caused by the multirate repetitive control system. Moreover, a fractional-order linear compensator with a simple structure is designed to compensate the magnitude and phase of the system accurately. Compared with other classical repetitive control strategies, the proposed repetitive control scheme can provide a better adaptation to the steady-state deviation and dynamic variation of grid frequency and ensure the control performance of SAPF system. Simulation and experimental results verify the effectiveness of the proposed control scheme.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101078"},"PeriodicalIF":2.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141487238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-17DOI: 10.1016/j.ejcon.2024.101016
Bing Liu, Zhongmei Li, Wenli Du
The article proposes a fault-tolerant control approach for a series of uncertain linear parameter-varying (LPV) time-delay models to obtain disturbance suppressions. Specifically, by applying the Lyapunov functions, a series of feedback controllers are provided to ensure the robust performance of LPV models with actuator faults. Meanwhile, a convex optimization strategy is developed for resolving optimization problems in the presence of bilinear matrix inequalities (BMIs), where the robustness conditions are improved to guarantee the stability of LPV model under uncertain factors. By resolving a class of linear matrix inequalities (LMIs), the gain matrices for LPV systems can be obtained. Furthermore, the less conservative conditions are developed and supported by strict theoretical derivation. Ultimately, the validity of proposed approach is confirmed by simulation analyses of truck–trailer systems.
{"title":"A robust H∞ fault-tolerant control approach for time-delay LPV systems with uncertain parameters and unknown disturbances","authors":"Bing Liu, Zhongmei Li, Wenli Du","doi":"10.1016/j.ejcon.2024.101016","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101016","url":null,"abstract":"<div><p>The article proposes a <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> fault-tolerant control approach for a series of uncertain linear parameter-varying (LPV) time-delay models to obtain disturbance suppressions. Specifically, by applying the Lyapunov functions, a series of feedback controllers are provided to ensure the robust performance of LPV models with actuator faults. Meanwhile, a convex optimization strategy is developed for resolving optimization problems in the presence of bilinear matrix inequalities (BMIs), where the robustness conditions are improved to guarantee the stability of LPV model under uncertain factors. By resolving a class of linear matrix inequalities (LMIs), the gain matrices for LPV systems can be obtained. Furthermore, the less conservative conditions are developed and supported by strict theoretical derivation. Ultimately, the validity of proposed approach is confirmed by simulation analyses of truck–trailer systems.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101016"},"PeriodicalIF":2.5,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-04DOI: 10.1016/j.ejcon.2024.101023
Hao Sun , Li Dai , Giuseppe Fedele , Boli Chen
The roll out of connected and autonomous vehicle (CAV) technologies can be beneficial for road traffic in terms of road safety, traffic and energy efficiency. This paper addresses the platooning problem of heterogeneous CAVs with consideration of a time-varying leader speed and multi-dimensional uncertainties that include modeling uncertainties and local measurement disturbances. Resorting to a spatial domain modeling approach with appropriate coordination changes and the relaxation of nonconvex constraints, the traditional nonlinear optimal control problem formulation is convexified for improved computational efficiency and ease of implementation. Then, a convex and tube-based distributed model predictive control algorithm (DMPC) utilizing a predecessor-following communication topology is designed with certified theoretical properties, which can be boiled down to DMPC parameter tuning criteria. Finally, numerical results and comparisons against nominal and nonlinear DMPC-based methods are carried out to verify the performance and computational efficiency of the proposed method under different driving scenarios.
{"title":"A convex and robust distributed model predictive control for heterogeneous vehicle platoons","authors":"Hao Sun , Li Dai , Giuseppe Fedele , Boli Chen","doi":"10.1016/j.ejcon.2024.101023","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101023","url":null,"abstract":"<div><p>The roll out of connected and autonomous vehicle (CAV) technologies can be beneficial for road traffic in terms of road safety, traffic and energy efficiency. This paper addresses the platooning problem of heterogeneous CAVs with consideration of a time-varying leader speed and multi-dimensional uncertainties that include modeling uncertainties and local measurement disturbances. Resorting to a spatial domain modeling approach with appropriate coordination changes and the relaxation of nonconvex constraints, the traditional nonlinear optimal control problem formulation is convexified for improved computational efficiency and ease of implementation. Then, a convex and tube-based distributed model predictive control algorithm (DMPC) utilizing a predecessor-following communication topology is designed with certified theoretical properties, which can be boiled down to DMPC parameter tuning criteria. Finally, numerical results and comparisons against nominal and nonlinear DMPC-based methods are carried out to verify the performance and computational efficiency of the proposed method under different driving scenarios.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101023"},"PeriodicalIF":3.4,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0947358024000839/pdfft?md5=ce236b709217ef300d122832d08db04c&pid=1-s2.0-S0947358024000839-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141314835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Pub Date : 2024-06-01DOI: 10.1016/j.ejcon.2024.101021
Yongwei Zhang , Shunchao Zhang
In this paper, the integral sliding mode-based event-triggered optimal fault tolerant tracking control of continuous-time nonlinear systems is investigated via adaptive dynamic programming. The developed control scheme consists of two parts, i.e., integral sliding mode control and event-triggered optimal tracking control. For the first part, an integral sliding mode controller is designed to eliminate the affect of actuator fault and the dynamics of nominal nonlinear systems is obtained. For the second part, a novel quadratic cost function with respect to the tracking error and its dynamics is developed such that the feedforward control law or the discount factor is not required, which reduces the complexity of the control method and guarantees the tracking performance. Moreover, a critic-only structure is established to obtain the solution of tracking Hamilton–Jacobi–Bellman equation. It should be noted that the optimal tracking control law is updated only at triggering moments in order to preserve computing and communication resources. Finally, the effectiveness of the present approach is demonstrated through simulation examples of a robotic arm system and a Van der Pol circuit system.
本文通过自适应动态编程研究了连续时间非线性系统基于积分滑动模态的事件触发最优容错跟踪控制。所开发的控制方案由两部分组成,即积分滑模控制和事件触发优化跟踪控制。在第一部分中,设计了一个积分滑动模式控制器来消除执行器故障的影响,并获得了标称非线性系统的动力学特性。在第二部分中,开发了一种与跟踪误差及其动态有关的新型二次成本函数,从而无需前馈控制法或折扣因子,这降低了控制方法的复杂性,并保证了跟踪性能。此外,还建立了唯批判结构,以获得跟踪 Hamilton-Jacobi-Bellman 方程的解。值得注意的是,为了节省计算和通信资源,最优跟踪控制法则仅在触发时刻更新。最后,通过机械臂系统和 Van der Pol 电路系统的仿真实例,证明了本方法的有效性。
{"title":"Integral sliding mode-based event-triggered optimal fault tolerant tracking control of continuous-time nonlinear systems","authors":"Yongwei Zhang , Shunchao Zhang","doi":"10.1016/j.ejcon.2024.101021","DOIUrl":"10.1016/j.ejcon.2024.101021","url":null,"abstract":"<div><p>In this paper, the integral sliding mode-based event-triggered optimal fault tolerant tracking control of continuous-time nonlinear systems is investigated via adaptive dynamic programming. The developed control scheme consists of two parts, i.e., integral sliding mode control and event-triggered optimal tracking control. For the first part, an integral sliding mode controller is designed to eliminate the affect of actuator fault and the dynamics of nominal nonlinear systems is obtained. For the second part, a novel quadratic cost function with respect to the tracking error and its dynamics is developed such that the feedforward control law or the discount factor is not required, which reduces the complexity of the control method and guarantees the tracking performance. Moreover, a critic-only structure is established to obtain the solution of tracking Hamilton–Jacobi–Bellman equation. It should be noted that the optimal tracking control law is updated only at triggering moments in order to preserve computing and communication resources. Finally, the effectiveness of the present approach is demonstrated through simulation examples of a robotic arm system and a Van der Pol circuit system.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101021"},"PeriodicalIF":3.4,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141281671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-24DOI: 10.1016/j.ejcon.2024.101018
Ruirui Wu , Ningfan Zhong , Minhui Sun
The problem of dynamic event-based non-fragile filtering for discrete-time singular Markovian jump systems is investigated in this paper, considering network-induced delays and packet dropouts. The random packet dropout is described by a Bernoulli-distributed stochastic variable with a known distribution law. To save limited network resources, an improved dynamic event-triggered scheme is proposed. By utilizing the Lyapunov-Krasovskii stability theory, a sufficient criterion is derived to ensure the stochastic admissibility of the resulting filter error system with a desired performance index. Based on the derived criterion, a co-design algorithm for the non-fragile filter and the dynamic event-triggered scheme is proposed by solving a set of linear matrix inequalities. The effectiveness and advantages of the proposed method are illustrated by two simulation examples.
{"title":"Dynamic event-triggered non-fragile filtering for singular Markovian jump systems with packet dropouts","authors":"Ruirui Wu , Ningfan Zhong , Minhui Sun","doi":"10.1016/j.ejcon.2024.101018","DOIUrl":"10.1016/j.ejcon.2024.101018","url":null,"abstract":"<div><p>The problem of dynamic event-based non-fragile filtering for discrete-time singular Markovian jump systems is investigated in this paper, considering network-induced delays and packet dropouts. The random packet dropout is described by a Bernoulli-distributed stochastic variable with a known distribution law. To save limited network resources, an improved dynamic event-triggered scheme is proposed. By utilizing the Lyapunov-Krasovskii stability theory, a sufficient criterion is derived to ensure the stochastic admissibility of the resulting filter error system with a desired <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance index. Based on the derived criterion, a co-design algorithm for the non-fragile filter and the dynamic event-triggered scheme is proposed by solving a set of linear matrix inequalities. The effectiveness and advantages of the proposed method are illustrated by two simulation examples.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"78 ","pages":"Article 101018"},"PeriodicalIF":3.4,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141134077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-22DOI: 10.1016/j.ejcon.2024.101020
Muhammad Shamrooz Aslam , Summera Shamrooz , Hazrat Bilal
This research specifically addresses the problem of sliding mode control (SMC) in a particular group of T–S fuzzy systems that experience output disturbances and time delays using a networked control system. First, a model for a proportional–derivative sliding mode observer (SMO) is established, subsequently followed by the design of a controller based on SMO to maintain closed-loop system stability. The authors establish a novel mechanism to optimize the bandwidth utilization of the communication network by introducing a newly adjusted event-triggering parameter. After that, addressed a linear matrix inequality (LMI) problem to determine the controller gain and observer coefficients. This was done to guarantee the asymptotic stability of the closed-loop plant. Furthermore, the authors were able to directly identify the disturbances for these plants using the proposed descriptor SMO. Moreover, a parameter-based novel event-triggered scheme, along with a new resultant closed-loop system, will be employed to modify trigger frequency parameters within a unified framework. The controller gains will be determined by solving a linear matrix inequality, subject to certain conditions that ensure sufficiency. These conditions will be deduced to ensure asymptotic stability. In the final section, the authors presented examples from the Wind Energy System (WES) that illustrate the feasibility and effectiveness of our proposed methodology.
本研究利用网络化控制系统,专门解决了一组特殊的 T-S 模糊系统中的滑模控制(SMC)问题,该系统会受到输出干扰和时间延迟的影响。首先建立了一个比例-衍生滑动模式观测器(SMO)模型,随后设计了一个基于 SMO 的控制器,以保持闭环系统的稳定性。作者通过引入新调整的事件触发参数,建立了优化通信网络带宽利用率的新机制。之后,他们解决了一个线性矩阵不等式(LMI)问题,以确定控制器增益和观测器系数。这样做是为了保证闭环工厂的渐进稳定性。此外,作者还利用提出的描述符 SMO 直接识别了这些工厂的干扰。此外,还将采用基于参数的新型事件触发方案和新的闭环系统,在统一的框架内修改触发频率参数。控制器增益将通过求解线性矩阵不等式来确定,但必须符合某些确保充分性的条件。这些条件将被推导出来,以确保渐进稳定性。在最后一节,作者介绍了风能系统(WES)的实例,说明了我们所提方法的可行性和有效性。
{"title":"Fuzzy PD-sliding mode control design for networked system with time delays","authors":"Muhammad Shamrooz Aslam , Summera Shamrooz , Hazrat Bilal","doi":"10.1016/j.ejcon.2024.101020","DOIUrl":"10.1016/j.ejcon.2024.101020","url":null,"abstract":"<div><p>This research specifically addresses the problem of <em>sliding mode control (SMC)</em> in a particular group of <em>T–S fuzzy systems</em> that experience output disturbances and time delays using a networked control system. First, a model for a proportional–derivative <em>sliding mode observer (SMO)</em> is established, subsequently followed by the design of a controller based on SMO to maintain closed-loop system stability. The authors establish a novel mechanism to optimize the bandwidth utilization of the communication network by introducing a newly adjusted event-triggering parameter. After that, addressed a <em>linear matrix inequality (LMI)</em> problem to determine the controller gain and observer coefficients. This was done to guarantee the asymptotic stability of the closed-loop plant. Furthermore, the authors were able to directly identify the disturbances for these plants using the proposed descriptor <em>SMO</em>. Moreover, a <em>parameter-based novel event-triggered scheme</em>, along with a new resultant closed-loop system, will be employed to modify trigger frequency parameters within a unified framework. The controller gains will be determined by solving a linear matrix inequality, subject to certain conditions that ensure sufficiency. These conditions will be deduced to ensure asymptotic stability. In the final section, the authors presented examples from the <em>Wind Energy System (WES)</em> that illustrate the feasibility and effectiveness of our proposed methodology.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"78 ","pages":"Article 101020"},"PeriodicalIF":3.4,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141145613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-17DOI: 10.1016/j.ejcon.2024.101019
Juraj Holaza, Peter Bakaráč, Juraj Oravec
The real-time implementation of the explicit MPC suffers from the evaluation of the, potentially large, lookup table. The paper revisits the original approach and presents an efficient reachability-sets-driven-based explicit MPC method addressing this issue by splitting the look-up table into the set of the “relevant” subsets. Simultaneously, effective binary encoding is introduced to minimize the runtimes and the memory footprint. Further acceleration is achieved by introducing the “smart” order of the considered critical regions. Then, the significant real-time complexity reduction is ensured by online pruning and traversing the sorted lookup table associated with the optimal control law evaluation. Technically, the number of critical regions to be explored is reduced and the order is redefined to accelerate the point location problem and minimize the computational effort. While the optimality of the control law is still preserved, the cost that we need to pay for the accelerated point location problem lies in an additional offline computation effort and a minor increase in memory requirements of the underlying controller. The benefits of the proposed method are demonstrated using an extensive case study. The complexity reduction strategy was investigated on two fast-dynamic benchmark systems and the computational burden was analyzed by implementing the designed controllers on an embedded hardware.
{"title":"Revisiting reachability-driven explicit MPC for embedded control","authors":"Juraj Holaza, Peter Bakaráč, Juraj Oravec","doi":"10.1016/j.ejcon.2024.101019","DOIUrl":"10.1016/j.ejcon.2024.101019","url":null,"abstract":"<div><p>The real-time implementation of the explicit MPC suffers from the evaluation of the, potentially large, lookup table. The paper revisits the original approach and presents an efficient reachability-sets-driven-based explicit MPC method addressing this issue by splitting the look-up table into the set of the “relevant” subsets. Simultaneously, effective binary encoding is introduced to minimize the runtimes and the memory footprint. Further acceleration is achieved by introducing the “smart” order of the considered critical regions. Then, the significant real-time complexity reduction is ensured by online pruning and traversing the sorted lookup table associated with the optimal control law evaluation. Technically, the number of critical regions to be explored is reduced and the order is redefined to accelerate the point location problem and minimize the computational effort. While the optimality of the control law is still preserved, the cost that we need to pay for the accelerated point location problem lies in an additional offline computation effort and a minor increase in memory requirements of the underlying controller. The benefits of the proposed method are demonstrated using an extensive case study. The complexity reduction strategy was investigated on two fast-dynamic benchmark systems and the computational burden was analyzed by implementing the designed controllers on an embedded hardware.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"78 ","pages":"Article 101019"},"PeriodicalIF":3.4,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141042000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-14DOI: 10.1016/j.ejcon.2024.101017
Lihuan Han , Yuechao Ma , Yanan Xu
This article figures out the asynchronous output feedback sliding mode dissipative control issue for Markovian jump delay systems (MJDSs) with uncertain parameters and external disturbances. Different from the massive methods of constructing sliding mode surfaces (SMS), a new dynamic output feedback (DOF) integral SMS is developed, where the SMS is composed of a virtual controller with quantized output and the controller is asynchronous with the system mode. Meanwhile, the reachability of the SMS is guaranteed. In addition, the transition rates (TRs) considered in this paper are generally bounded, which means that the designed method applies to the more general case of TRs, such as fully known and partially unknown TRs. The sufficient criteria of stochastic stability and strict dissipation for the MJDSs are deduced. The design scheme of the controller gain matrix is proposed by the linear matrix inequality (LMI) technique. Finally, two examples are shown to demonstrate the effectiveness and feasibility of the designed technique.
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Pub Date : 2024-05-13DOI: 10.1016/j.ejcon.2024.101002
Jinxin Du, Jie Lan, Yan-Jun Liu, Han Qian Hou, Lei Liu
This paper proposes a leader–follower formation control protocol using fast finite-time (FFT) theory, based on second-order nonlinear multi-agent systems (MASs) with input saturation constraints. The artificial potential field method is addressed to implement the formation control with obstacle avoidance of the MASs. An adaptive FFT strategy is constructed that all the agents follow required formation performance. Neural networks are considered to approximate uncertain functions, which improved convergence and ensuring safety of distributed formation control. Finally, the validity of the theoretical approach is demonstrated by FFT stability theory validated by simulation examples.
本文基于具有输入饱和约束的二阶非线性多代理系统(MAS),利用快速有限时间(FFT)理论提出了一种领导者-追随者编队控制协议。人工势场方法用于实现具有避障功能的 MAS 编队控制。构建了一种自适应 FFT 策略,使所有代理都遵循所需的编队性能。考虑用神经网络来逼近不确定函数,从而提高了收敛性,确保了分布式编队控制的安全性。最后,通过模拟实例验证了 FFT 稳定性理论,从而证明了理论方法的有效性。
{"title":"Fast finite-time formation control with obstacle avoidance of second-order multi-agent systems with input saturation","authors":"Jinxin Du, Jie Lan, Yan-Jun Liu, Han Qian Hou, Lei Liu","doi":"10.1016/j.ejcon.2024.101002","DOIUrl":"10.1016/j.ejcon.2024.101002","url":null,"abstract":"<div><p>This paper proposes a leader–follower formation control protocol using fast finite-time (FFT) theory, based on second-order nonlinear multi-agent systems (MASs) with input saturation constraints. The artificial potential field method is addressed to implement the formation control with obstacle avoidance of the MASs. An adaptive FFT strategy is constructed that all the agents follow required formation performance. Neural networks are considered to approximate uncertain functions, which improved convergence and ensuring safety of distributed formation control. Finally, the validity of the theoretical approach is demonstrated by FFT stability theory validated by simulation examples.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"78 ","pages":"Article 101002"},"PeriodicalIF":3.4,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141030408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}