The dynamic event-triggered decentralized adaptive fault-tolerant control strategy is designed for nonlinear interconnected systems with time delay and unknown control directions. The dynamic event-triggered control scheme where the threshold parameters related to measurement errors are dynamically adjusted by introducing adaptive laws into the control law appropriately increases the time interval for controller update. Then, the Nussbaum function and linear transformation are employed to handle the coupling problem caused by actuator faults and unknown control directions. Meanwhile, the Lyapunov–Krasovskii function is utilized to compensate the effect of time delay and guarantees that all closed-loop signals are bounded. The errors converge into bounded compact sets around the origin. The validity of the presented scheme is verified via a simulation example.
{"title":"Dynamic event-triggered-based decentralized fault-tolerant control for interconnected nonlinear time-delay systems with unknown control directions","authors":"Qixia Shen, Wenshuai Lin, Liang Cao, Meng Zhao","doi":"10.1002/asjc.3457","DOIUrl":"10.1002/asjc.3457","url":null,"abstract":"<p>The dynamic event-triggered decentralized adaptive fault-tolerant control strategy is designed for nonlinear interconnected systems with time delay and unknown control directions. The dynamic event-triggered control scheme where the threshold parameters related to measurement errors are dynamically adjusted by introducing adaptive laws into the control law appropriately increases the time interval for controller update. Then, the Nussbaum function and linear transformation are employed to handle the coupling problem caused by actuator faults and unknown control directions. Meanwhile, the Lyapunov–Krasovskii function is utilized to compensate the effect of time delay and guarantees that all closed-loop signals are bounded. The errors converge into bounded compact sets around the origin. The validity of the presented scheme is verified via a simulation example.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"505-517"},"PeriodicalIF":2.7,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614831","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, a class of single-master-multiple-slaves (SMMS) bilateral teleoperation systems with the limitation of communication bandwidth is investigated. The signals are exchanged between the master and the slaves through delayed communication. Besides, to avoid data collisions, the Try-Once-Discard (TOD) scheduling protocol is utilized to decide which slave gets the network access at each triggered instant. A control algorithm with the event-triggered mechanism is proposed to ensure the master–slaves synchronization. Furthermore, the closed-loop system's stability criterion associated with the controller gains, the varying time delays' bounds, and the maximum transmission interval is established on the basis of the Lyapunov–Krasovskii analysis. Finally, the presented algorithm's performance is demonstrated by the simulation and experiment results.
{"title":"Master–slaves synchronization of teleoperation systems with the Try-Once-Discard protocol under event-triggered communication","authors":"Yuling Li, Chenxi Li, Jie Dong, Haijuan Wang","doi":"10.1002/asjc.3458","DOIUrl":"10.1002/asjc.3458","url":null,"abstract":"<p>In this paper, a class of single-master-multiple-slaves (SMMS) bilateral teleoperation systems with the limitation of communication bandwidth is investigated. The signals are exchanged between the master and the slaves through delayed communication. Besides, to avoid data collisions, the Try-Once-Discard (TOD) scheduling protocol is utilized to decide which slave gets the network access at each triggered instant. A control algorithm with the event-triggered mechanism is proposed to ensure the master–slaves synchronization. Furthermore, the closed-loop system's stability criterion associated with the controller gains, the varying time delays' bounds, and the maximum transmission interval is established on the basis of the Lyapunov–Krasovskii analysis. Finally, the presented algorithm's performance is demonstrated by the simulation and experiment results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"661-675"},"PeriodicalIF":2.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586679","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 designs a continuous-time algorithm with event-triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event-triggered continuous-time optimization algorithm to overcome the bandwidth limitation of multi-agent systems. Besides, with the aid of Lyapunov theory, we prove that the distributed event-triggered algorithm converges to the optimum set with an exact linear convergence rate, without the strongly convex condition. Moreover, we provide the discrete version of the continuous-time algorithm and show its exact linear convergence rate. Finally, we give a comparison example to validate the effectiveness of the designed algorithm in communication resource saving.
{"title":"Linear convergence of event-triggered distributed optimization with metric subregularity condition","authors":"Xin Yu, Songsong Cheng, Jianbin Qiu, Yuan Fan","doi":"10.1002/asjc.3467","DOIUrl":"10.1002/asjc.3467","url":null,"abstract":"<p>This paper designs a continuous-time algorithm with event-triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event-triggered continuous-time optimization algorithm to overcome the bandwidth limitation of multi-agent systems. Besides, with the aid of Lyapunov theory, we prove that the distributed event-triggered algorithm converges to the optimum set with an exact linear convergence rate, without the strongly convex condition. Moreover, we provide the discrete version of the continuous-time algorithm and show its exact linear convergence rate. Finally, we give a comparison example to validate the effectiveness of the designed algorithm in communication resource saving.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"750-764"},"PeriodicalIF":2.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586676","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 fixed-time adaptive event-triggered fault-tolerant control (FTC) is investigated for a class of nonlinear systems with actuator failures in this paper. Firstly, by utilizing back-stepping algorithm and the fixed-time stable criterion, a novel fixed-time adaptive fault-tolerant controller and parameter updated laws in forms of nonlinear differential equations are developed to counteract actuator faults and parameter uncertainties in fixed time. Then, the event-triggered mechanism based on the relative threshold method is applied to the proposed control scheme to save network resources. Furthermore, by the Lyapunov stability theory, it can be proven that all the closed-loop signals of system remain bounded, and the tracking error converges into a small neighborhood of the origin within fixed time interval. Finally, the simulation examples are shown to verify the feasibility and efficiency of the presented strategy.
{"title":"Fixed-time adaptive event-triggered fault-tolerant control of nonlinear systems with actuator failures","authors":"Qi Chen, Li-Bing Wu, Ming Chen, Ming-Rui Liu","doi":"10.1002/asjc.3466","DOIUrl":"10.1002/asjc.3466","url":null,"abstract":"<p>The problem of fixed-time adaptive event-triggered fault-tolerant control (FTC) is investigated for a class of nonlinear systems with actuator failures in this paper. Firstly, by utilizing back-stepping algorithm and the fixed-time stable criterion, a novel fixed-time adaptive fault-tolerant controller and parameter updated laws in forms of nonlinear differential equations are developed to counteract actuator faults and parameter uncertainties in fixed time. Then, the event-triggered mechanism based on the relative threshold method is applied to the proposed control scheme to save network resources. Furthermore, by the Lyapunov stability theory, it can be proven that all the closed-loop signals of system remain bounded, and the tracking error converges into a small neighborhood of the origin within fixed time interval. Finally, the simulation examples are shown to verify the feasibility and efficiency of the presented strategy.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"765-781"},"PeriodicalIF":2.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586677","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 work presents a resilient distributed model predictive control (MPC) method for linear parameter varying (LPV) systems with state delays and attacks in communication networks. Coordinations are required for distributed MPC (DMPC) to achieve the global performance of centralized MPC (CMPC). However, control performance can be severely degraded by unreliable communication networks, for example, with denial of service (DoS) attacks. A resilient control framework is derived to address the unreliable communications in DMPC. A global system is divided into subsystems for the distributed control purpose. To deal with the model uncertainties and state delays, a “min-max” DMPC algorithm is presented with a buffer to ensure resilience against DoS attacks. A quantization scheme is introduced to quantize the control information exchanged between subsystems. An iterative interaction scheme is proposed to exchange feedback control laws among subsystems. The stability of the closed-loop system under the proposed algorithm is ensured by using a Lyapunov function method. The effectiveness of the proposed DMPC is demonstrated through two simulation examples.
{"title":"Resilient distributed model predictive control of state-delayed linear parameter varying systems with quantitative communication against denial of service attacks","authors":"Aiping Zhong, Wanlin Lu, Langwen Zhang","doi":"10.1002/asjc.3465","DOIUrl":"10.1002/asjc.3465","url":null,"abstract":"<p>This work presents a resilient distributed model predictive control (MPC) method for linear parameter varying (LPV) systems with state delays and attacks in communication networks. Coordinations are required for distributed MPC (DMPC) to achieve the global performance of centralized MPC (CMPC). However, control performance can be severely degraded by unreliable communication networks, for example, with denial of service (DoS) attacks. A resilient control framework is derived to address the unreliable communications in DMPC. A global system is divided into subsystems for the distributed control purpose. To deal with the model uncertainties and state delays, a “min-max” DMPC algorithm is presented with a buffer to ensure resilience against DoS attacks. A quantization scheme is introduced to quantize the control information exchanged between subsystems. An iterative interaction scheme is proposed to exchange feedback control laws among subsystems. The stability of the closed-loop system under the proposed algorithm is ensured by using a Lyapunov function method. The effectiveness of the proposed DMPC is demonstrated through two simulation examples.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"728-740"},"PeriodicalIF":2.7,"publicationDate":"2024-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141575593","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, a dynamic event-triggered control problem is discussed for 2-D continuous systems by the Roesser model. In order to reduce communication frequency and avoid dependence on global information, a dynamic event-triggered mechanism is constructed, which is more flexible than some existing event-triggered schemes with fixed event-triggered thresholds. Utilizing the dynamic event-triggered mechanism, a state feedback controller is designed. By constructing a 2-D Lyapunov function, sufficient conditions expressed in terms of linear matrix inequalities (LMIs) are firstly established such that the 2-D system is asymptotically stable with a disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, two examples are provided to illustrate the effectiveness of the proposed method.
{"title":"Dynamic event-triggered control of 2-D continuous systems in Roesser model","authors":"Hongsheng Hu, Yunhe Meng, Shipei Huang","doi":"10.1002/asjc.3454","DOIUrl":"10.1002/asjc.3454","url":null,"abstract":"<p>In this paper, a dynamic event-triggered control problem is discussed for 2-D continuous systems by the Roesser model. In order to reduce communication frequency and avoid dependence on global information, a dynamic event-triggered mechanism is constructed, which is more flexible than some existing event-triggered schemes with fixed event-triggered thresholds. Utilizing the dynamic event-triggered mechanism, a state feedback controller is designed. By constructing a 2-D Lyapunov function, sufficient conditions expressed in terms of linear matrix inequalities (LMIs) are firstly established such that the 2-D system is asymptotically stable with a disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, two examples are provided to illustrate the effectiveness of the proposed method.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"646-660"},"PeriodicalIF":2.7,"publicationDate":"2024-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141575591","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 paper studies the restabilization problem of Boolean control networks (BCNs) under the function perturbation. First, an important concept-absorbable attractor is proposed for BCNs. Then, by using this concept, a necessary and sufficient restabilizability criterion is established. This criterion can be used to check whether the perturbed BCN can be restabilized to its original state by modifying the minimum number of parameters in the old controller. Finally, a constructive fine-tuning method is given to modify the old controller. Compared with the existing results, which can only solve the problem of single column function perturbation, our results are more powerful since they are applicable not only to the single column function perturbation problem but also to the case of multiple columns. Finally, two examples are employed to show the effectiveness of our results.
{"title":"Restabilization of perturbed Boolean control networks based on absorbable attractors","authors":"Yanfang Hou, Hui Tian, Chengmao Wang","doi":"10.1002/asjc.3464","DOIUrl":"10.1002/asjc.3464","url":null,"abstract":"<p>The paper studies the restabilization problem of Boolean control networks (BCNs) under the function perturbation. First, an important concept-absorbable attractor is proposed for BCNs. Then, by using this concept, a necessary and sufficient restabilizability criterion is established. This criterion can be used to check whether the perturbed BCN can be restabilized to its original state by modifying the minimum number of parameters in the old controller. Finally, a constructive fine-tuning method is given to modify the old controller. Compared with the existing results, which can only solve the problem of single column function perturbation, our results are more powerful since they are applicable not only to the single column function perturbation problem but also to the case of multiple columns. Finally, two examples are employed to show the effectiveness of our results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"741-749"},"PeriodicalIF":2.7,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577953","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 study focuses on the event-triggered dynamic output feedback control for a type of switched linear neutral systems under time-varying delays and frequent asynchronism. Distinct from the existing literatures about asynchronous switching, which restricts the minimum dwell time, frequent switching is allowed to occur within each inter-event interval by reason of average dwell time method. Then, concentrated on switched neutral time-delay system, a novel sufficient condition is established under which proposed event-triggered control scheme guarantees its the global uniform exponential stability by using the controller-mode-dependent Lyapunov functional together with dynamic output feedback controller. Subsequently, the sufficient criteria are deduced for co-designing the dynamic output feedback controller and mode-dependent event-triggered mechanism. Additionally, it is proved that a positive minimum threshold on the inter-event intervals exists, which eliminates Zeno phenomenon. In the end, a numerical simulation indicates the efficacy of the acquired results.
{"title":"Event-triggered dynamic output feedback control for switched linear neutral systems under time-varying delays and frequent asynchronism","authors":"Rongrong Yan, Baowei Wu, Yue-E Wang, Lili Liu, Wenzi Li, Liqiong Huang","doi":"10.1002/asjc.3461","DOIUrl":"10.1002/asjc.3461","url":null,"abstract":"<p>The study focuses on the event-triggered dynamic output feedback control for a type of switched linear neutral systems under time-varying delays and frequent asynchronism. Distinct from the existing literatures about asynchronous switching, which restricts the minimum dwell time, frequent switching is allowed to occur within each inter-event interval by reason of average dwell time method. Then, concentrated on switched neutral time-delay system, a novel sufficient condition is established under which proposed event-triggered control scheme guarantees its the global uniform exponential stability by using the controller-mode-dependent Lyapunov functional together with dynamic output feedback controller. Subsequently, the sufficient criteria are deduced for co-designing the dynamic output feedback controller and mode-dependent event-triggered mechanism. Additionally, it is proved that a positive minimum threshold on the inter-event intervals exists, which eliminates Zeno phenomenon. In the end, a numerical simulation indicates the efficacy of the acquired results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"676-689"},"PeriodicalIF":2.7,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505398","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}
Zhang Jinlong, Wang Jianhong, Wen Ruchun, Ding Yongjun, Luo Xi
An improved integral backstepping sliding mode control (IIBSMC) strategy is proposed to address the problems of long regulation time and poor disturbance resistance of integral backstepping control (IBC) for quadrotor aircraft. The IIBSMC method first introduces the integral term into the virtual variable on the basis of IBC, which makes the system respond faster, overshoot smaller and anti-interference performance stronger. After that, combined with sliding mode control, the system is further processed to improve the control performance of the system. Finally, the quadrotor is controlled to achieve fixed-point hovering and trajectory tracking, and the rotation and translation performance of the aircraft and the stability under external interference are improved. When the quadrotor aircraft is subjected to instantaneous interference, constant interference, sinusoidal interference, white noise interference, and complex interference, the simulation experiments of IBC, improved integral backstepping control (IIBC), integral backstepping sliding mode control (IBSMC), and IIBSMC are compared. It can be obviously found that the IIBSMC method has smaller system overshoot, faster recovery of the original equilibrium position, shorter adjustment time, and smaller error. When using the IIBSMC method to design the controller, the stability of the controller is theoretically proved by backstepping recursion. Finally, the simulation results show that the designed controller can better achieve fixed-point hovering and trajectory tracking control well.
{"title":"Control design of quadrotor aircraft based on improved integral backstepping sliding mode","authors":"Zhang Jinlong, Wang Jianhong, Wen Ruchun, Ding Yongjun, Luo Xi","doi":"10.1002/asjc.3444","DOIUrl":"10.1002/asjc.3444","url":null,"abstract":"<p>An improved integral backstepping sliding mode control (IIBSMC) strategy is proposed to address the problems of long regulation time and poor disturbance resistance of integral backstepping control (IBC) for quadrotor aircraft. The IIBSMC method first introduces the integral term into the virtual variable on the basis of IBC, which makes the system respond faster, overshoot smaller and anti-interference performance stronger. After that, combined with sliding mode control, the system is further processed to improve the control performance of the system. Finally, the quadrotor is controlled to achieve fixed-point hovering and trajectory tracking, and the rotation and translation performance of the aircraft and the stability under external interference are improved. When the quadrotor aircraft is subjected to instantaneous interference, constant interference, sinusoidal interference, white noise interference, and complex interference, the simulation experiments of IBC, improved integral backstepping control (IIBC), integral backstepping sliding mode control (IBSMC), and IIBSMC are compared. It can be obviously found that the IIBSMC method has smaller system overshoot, faster recovery of the original equilibrium position, shorter adjustment time, and smaller error. When using the IIBSMC method to design the controller, the stability of the controller is theoretically proved by backstepping recursion. Finally, the simulation results show that the designed controller can better achieve fixed-point hovering and trajectory tracking control well.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"427-446"},"PeriodicalIF":2.7,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505393","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 dielectric elastomer actuator (DEA) is widely used in the field of soft robots due to its large deformation, light weight, fast response, and high-energy conversion efficiency. The high-precision control of the DEA is the precondition for soft robots to perform complicated tasks. In early studies, researchers usually employed integer order modeling and control methods to build the dynamic model of the DEA and to achieve its tracking control. However, these methods are not good at handling the complicated memory property of the DEA. In addition, the number of required parameters in integer order models and control methods is enormous, which hinders their practical applications. To solve these problems, the fractional order modeling method and fractional order internal model control method of the DEA are proposed in this paper. Firstly, a fractional order transfer function (FOTF) model of the DEA is built to depict its complicated memory property. Then, to achieve the computer control, an integer order approximation model (IOAM) of the FOTF model is built by using the Oustaloup filter. Considering that the order of the IOAM is too high, a reduced integer order approximation model is established by using the square root balance truncation algorithm to facilitate the system controller design. Next, a fractional order internal model controller is designed. Finally, tracking control experiments are exerted to demonstrate the effectiveness of the proposed method. Since the root-mean-square errors of all experimental results are less than 2%, the proposed modeling method and control method are superior from the perspective of the practical application.
介电弹性体致动器(DEA)具有变形量大、重量轻、响应速度快、能量转换效率高等特点,在软体机器人领域得到了广泛应用。对 DEA 的高精度控制是软机器人执行复杂任务的前提。在早期的研究中,研究人员通常采用整数阶建模和控制方法来建立 DEA 的动态模型并实现其跟踪控制。然而,这些方法并不能很好地处理 DEA 复杂的记忆特性。此外,整数阶模型和控制方法所需的参数数量巨大,阻碍了其实际应用。为了解决这些问题,本文提出了 DEA 的分数阶建模方法和分数阶内部模型控制方法。首先,建立 DEA 的分数阶传递函数(FOTF)模型,描述其复杂的记忆特性。然后,为了实现计算机控制,利用奥斯塔鲁普滤波器建立了分数阶传递函数模型的整数阶近似模型(IOAM)。考虑到 IOAM 的阶数过高,为了便于系统控制器的设计,利用平方根平衡截断算法建立了简化的整阶近似模型。接着,设计了一个分数阶内部模型控制器。最后,通过跟踪控制实验证明了所提方法的有效性。由于所有实验结果的均方根误差均小于 2%,因此从实际应用的角度来看,所提出的建模方法和控制方法是优越的。
{"title":"Fractional order modeling and internal model control method for dielectric elastomer actuator","authors":"Zhichao Xu, Jundong Wu, Yawu Wang","doi":"10.1002/asjc.3463","DOIUrl":"10.1002/asjc.3463","url":null,"abstract":"<p>The dielectric elastomer actuator (DEA) is widely used in the field of soft robots due to its large deformation, light weight, fast response, and high-energy conversion efficiency. The high-precision control of the DEA is the precondition for soft robots to perform complicated tasks. In early studies, researchers usually employed integer order modeling and control methods to build the dynamic model of the DEA and to achieve its tracking control. However, these methods are not good at handling the complicated memory property of the DEA. In addition, the number of required parameters in integer order models and control methods is enormous, which hinders their practical applications. To solve these problems, the fractional order modeling method and fractional order internal model control method of the DEA are proposed in this paper. Firstly, a fractional order transfer function (FOTF) model of the DEA is built to depict its complicated memory property. Then, to achieve the computer control, an integer order approximation model (IOAM) of the FOTF model is built by using the Oustaloup filter. Considering that the order of the IOAM is too high, a reduced integer order approximation model is established by using the square root balance truncation algorithm to facilitate the system controller design. Next, a fractional order internal model controller is designed. Finally, tracking control experiments are exerted to demonstrate the effectiveness of the proposed method. Since the root-mean-square errors of all experimental results are less than 2<i>%</i>, the proposed modeling method and control method are superior from the perspective of the practical application.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"117-127"},"PeriodicalIF":2.7,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505392","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}