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Observer-based control for nonlinear Hadamard fractional-order systems via SOS approach 基于观测器的非线性Hadamard分数阶系统的SOS控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-10-01 DOI: 10.1002/asjc.3497
Hamdi Gassara, Omar Naifar, Mohamed Chaabane, Abdellatif Ben Makhlouf, Hassen Arfaoui, Mohammed Aldandani
{"title":"Observer-based control for nonlinear Hadamard fractional-order systems via SOS approach","authors":"Hamdi Gassara,&nbsp;Omar Naifar,&nbsp;Mohamed Chaabane,&nbsp;Abdellatif Ben Makhlouf,&nbsp;Hassen Arfaoui,&nbsp;Mohammed Aldandani","doi":"10.1002/asjc.3497","DOIUrl":"https://doi.org/10.1002/asjc.3497","url":null,"abstract":"<p>Practical stability refers to the notion that the origin is not an equilibrium point (EP) and that the system states tend to converge toward a sphere centered at the origin. The first goal of this paper is to analyze the concept of “practical stability” in Caputo–Hadamard fractional-order derivative (CHFOD) systems. Then, using the Lyapunov approach, a polynomial fuzzy (PF) observer-based controller for stabilizing CHFOD PF systems is created. The observer-based control is innovative since it was created and proven using the sum-of-squares (SOS) method. In conclusion, a numerical illustration is provided to corroborate the theoretical findings.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"912-920"},"PeriodicalIF":2.7,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143530121","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}
引用次数: 0
Prescribed-time fault-tolerant synchronization control of complex dynamical networks using time-varying protocols 基于时变协议的复杂动态网络的规定时间容错同步控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-29 DOI: 10.1002/asjc.3506
Zain ul Aabidin Lodhi, Kai Zhang
{"title":"Prescribed-time fault-tolerant synchronization control of complex dynamical networks using time-varying protocols","authors":"Zain ul Aabidin Lodhi,&nbsp;Kai Zhang","doi":"10.1002/asjc.3506","DOIUrl":"https://doi.org/10.1002/asjc.3506","url":null,"abstract":"<p>This research delves into the intricacies of the prescribed-time synchronization control problem of a class of complex dynamical systems, all while factoring in the presence of time-varying actuator faults. An innovative time-varying protocol is initially established for the case of additive actuator faults, hinging on the solution to a particular set of parametric Lyapunov equations. Through the astute exploitation of the scalarization properties intrinsic to the solution to the parametric Lyapunov equation, the time-varying parameter within the protocol is effectively ascertained. Furthermore, to mitigate the impact stemming from multiplicative actuator fault(s), an alternative protocol is also introduced. Through rigorous analysis rooted in the principles of Lyapunov, it is demonstrated that the synchronization errors in both scenarios remain bounded, ultimately converging to zero within a predetermined time frame. The developed protocols are employed in coupled Chua's circuit control systems with faulty actuators, and simulation results validate the efficacy of the proposed approaches.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 3","pages":"1323-1334"},"PeriodicalIF":2.7,"publicationDate":"2024-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950571","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}
引用次数: 0
Robust adaptive fixed-time stabilization of disturbed planar high-order nonlinear systems 扰动平面高阶非线性系统的鲁棒自适应定时镇定
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-26 DOI: 10.1002/asjc.3500
Qijia Yao, Li Ma, Qing Li, Heng Wang
{"title":"Robust adaptive fixed-time stabilization of disturbed planar high-order nonlinear systems","authors":"Qijia Yao,&nbsp;Li Ma,&nbsp;Qing Li,&nbsp;Heng Wang","doi":"10.1002/asjc.3500","DOIUrl":"https://doi.org/10.1002/asjc.3500","url":null,"abstract":"<p>In this letter, an adaptive fixed-time integral sliding mode (ISM) controller is exploited for the stabilization of disturbed planar high-order nonlinear systems. The exploited controller is designed by constructing a novel fixed-time ISM surface to tackle the high-order power. Moreover, the parametric adaptive technique is embedded to estimate the square of the upper bound of the disturbance. In this way, the exploited controller has no obvious chattering problem and can maintain the high control accuracy simultaneously. The resultant closed-loop system is proved to be practically fixed-time stable through the bilimit homogeneous theory and fixed-time Lyapunov stability theory. Lastly, two simulated examples are carried out to demonstrate the derived results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"1099-1106"},"PeriodicalIF":2.7,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143530723","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}
引用次数: 0
Speed-sensorless control for SPMSM via novel exponential super-twisting ADRC 基于指数型超扭自抗扰控制器的SPMSM无速度传感器控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-25 DOI: 10.1002/asjc.3501
Mingyuan Hu, Hyeongki Ahn, Jihoon Park, Kwanho You
{"title":"Speed-sensorless control for SPMSM via novel exponential super-twisting ADRC","authors":"Mingyuan Hu,&nbsp;Hyeongki Ahn,&nbsp;Jihoon Park,&nbsp;Kwanho You","doi":"10.1002/asjc.3501","DOIUrl":"https://doi.org/10.1002/asjc.3501","url":null,"abstract":"<p>Although the conventional super-twisting reaching law (CSTRL) maintains the desired tracking performance for disturbed systems, its implementation is challenging due to its dependence on accurate system dynamics. To mitigate this dependence and reduce chattering of CSTRL, a novel exponential super-twisting reaching law (NESTRL) is proposed, leveraging the dynamic adaptability of the exponential reaching law and eliminating chattering. By using NESTRL, the proposed controller can achieve a fast response without chattering. Additionally, a comprehensive procedure for finite convergence time analysis is provided. The convergence conditions of the system's state variables are determined using a Lyapunov function, and the stability of system is proven using an algebraic Lyapunov function. Finally, simulations and experimental results demonstrate that the proposed approach is valid and effective, showing improvements compared to the traditional super-twisting active disturbance rejection control and linear active disturbance rejection control in sensorless control.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 3","pages":"1183-1202"},"PeriodicalIF":2.7,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950225","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}
引用次数: 0
Robust super-twisting sliding mode control of input-delayed nonlinear systems using disturbance observers and predictor feedback 基于扰动观测器和预测器反馈的输入延迟非线性系统鲁棒超扭滑模控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-22 DOI: 10.1002/asjc.3488
Ali Javadi, Ronnapee Chaichaowarat
{"title":"Robust super-twisting sliding mode control of input-delayed nonlinear systems using disturbance observers and predictor feedback","authors":"Ali Javadi,&nbsp;Ronnapee Chaichaowarat","doi":"10.1002/asjc.3488","DOIUrl":"https://doi.org/10.1002/asjc.3488","url":null,"abstract":"<p>This paper investigates prediction-based robust super-twisting sliding mode controller design for nonlinear systems with input delay and external disturbances. A novel predictor feedback is introduced based on state predictions of the original and transformed models. To cope with the external disturbances, a set of disturbance observers are utilized which estimate the future values of disturbances asymptotically. Super-twisting sliding mode control is used to avoid chattering phenomenon which is also able to handle external disturbances. Proposed design can handle all external disturbances that their derivatives vanish at infinity. Stability proof of the closed-loop is given in details ensuring the asymptotic stability of the tracking errors and finite time vanishing of the sliding surface. To illustrate effectiveness and applicability, the proposed design is applied to a two-link robot and a serial variable stiffness actuator. Simulation results show that input delays of the robot and actuator are compensated, and external disturbances are correctly estimated and attenuated.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"987-1007"},"PeriodicalIF":2.7,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143530713","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}
引用次数: 0
Geometric stabilization of discrete-time systems via dissipativity approach and output feedback control 基于耗散率方法和输出反馈控制的离散系统几何镇定
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-22 DOI: 10.1002/asjc.3502
Xinyuan Wen, Fan Yang, Yuanhong Ren, Xuejie Bai
{"title":"Geometric stabilization of discrete-time systems via dissipativity approach and output feedback control","authors":"Xinyuan Wen,&nbsp;Fan Yang,&nbsp;Yuanhong Ren,&nbsp;Xuejie Bai","doi":"10.1002/asjc.3502","DOIUrl":"https://doi.org/10.1002/asjc.3502","url":null,"abstract":"<p>Geometric stabilizability is studied for nonlinear discrete-time systems (DTS) utilizing linear static output feedback (SOF). Initially, a linear SOF controller is designed such that nonlinear DTS achieve geometric stabilizability. Utilizing the concept of geometric QSR-dissipativity (GQSR-D), a condition both sufficient and necessary is proffered to guarantee geometric stabilizability for nonlinear DTS. Subsequently, the necessary conditions of linear matrix inequality (LMI) are delineated to ascertain the stability of a system employing linear SOF. A new sufficient and necessary condition is provided aiming to stabilize the linear time-invariant (LTI) DTS based on GQSR-D. Lastly, examples are furnished to elucidate the efficacy of the results, thereby reinforcing their practical applicability.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 3","pages":"1282-1293"},"PeriodicalIF":2.7,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949728","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}
引用次数: 0
Observer-based output feedback control for a rotating beam with a general exosystem 基于观测器的一般外系统旋转梁输出反馈控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-19 DOI: 10.1002/asjc.3483
Tingting Meng, Qiang Fu, Xiuyu He
{"title":"Observer-based output feedback control for a rotating beam with a general exosystem","authors":"Tingting Meng,&nbsp;Qiang Fu,&nbsp;Xiuyu He","doi":"10.1002/asjc.3483","DOIUrl":"10.1002/asjc.3483","url":null,"abstract":"<p>This paper considers a rotating Euler-Bernoulli beam system with no dampings, where disturbances and references are generated from a block diagonalizable exosystem. Two tracking errors are the only measurable outputs for the output regulation of the beam system. Firstly, a nominal exosystem is chosen to generate the same signals, and a nominal beam is obtained by finding the specially known coefficients of the disturbances and references. This makes a tracking error-based observer easily designed for the nominal partial differential equation-ordinary differential equation (PDE-ODE) system. Observer-based robust controls are then designed for the nominal beam system and further proved to guarantee the asymptotic convergence of the tracking errors and the boundedness of the states, although under unknown disturbances and references. Two simulation examples are provided to describe the effectiveness of the controls.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"890-900"},"PeriodicalIF":2.7,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249513","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}
引用次数: 0
Adaptive output feedback time-varying formation tracking of multi-agent system with a leader of unknown input 具有未知输入的领导者的多代理系统的自适应输出反馈时变编队跟踪
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-19 DOI: 10.1002/asjc.3499
Jie Wu, Xiaoyi Zhang, Xisheng Zhan, Xiushan Cai
{"title":"Adaptive output feedback time-varying formation tracking of multi-agent system with a leader of unknown input","authors":"Jie Wu,&nbsp;Xiaoyi Zhang,&nbsp;Xisheng Zhan,&nbsp;Xiushan Cai","doi":"10.1002/asjc.3499","DOIUrl":"10.1002/asjc.3499","url":null,"abstract":"<p>This paper researches the time-varying formation tracking (TVFT) problem of linear multi-agent systems (MASs). By designing a compensator, the problem of time-varying formation can be considered as the output regulation problem. Thereby, the distributed output feedback controller combined with an adaptive technique is proposed. With this controller, follower agents achieve the desired time-varying formation and follow the trajectory of the leader agent. Furthermore, extending the designed controller to the case where the leader agent equips with unknown control input. Using Lyapunov stability theory, it is demonstrated that under proper conditions the given protocol is implementable. Simulation example is presented at the end of the paper to illustrate the effectiveness of designed control mechanism.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"1107-1116"},"PeriodicalIF":2.7,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249512","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}
引用次数: 0
Backward differentiation formula method and random forest method to solve continuous-time differential Riccati equations 求解连续时微分 Riccati 方程的后向微分公式法和随机森林法
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-19 DOI: 10.1002/asjc.3494
Juan Zhang, Wenwen Zou, Chenglin Sui
{"title":"Backward differentiation formula method and random forest method to solve continuous-time differential Riccati equations","authors":"Juan Zhang,&nbsp;Wenwen Zou,&nbsp;Chenglin Sui","doi":"10.1002/asjc.3494","DOIUrl":"10.1002/asjc.3494","url":null,"abstract":"<p>In this paper, we explore the utilization of machine learning techniques for solving the numerical solutions of continuous-time differential Riccati equations. Specifically, we focus on generating a reduction matrix capable of transforming a high-order matrix into a low-order matrix. Additionally, we address the issue of differential terms in the continuous-time differential Riccati equation and incorporate the backward differentiation formula of the matrix to improve stability and accuracy. Finally, by training samples through neural networks and machine learning methods, we could predict the solutions for high-order matrix equations.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 3","pages":"1224-1243"},"PeriodicalIF":2.7,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249514","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}
引用次数: 0
Optimal quantized feedback control for linear quandratic Gaussian systems with input delay 具有输入延迟的线性准高斯系统的最优量化反馈控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-09-18 DOI: 10.1002/asjc.3493
Huiling Chen, Xiao liang, Guilin Zhang
{"title":"Optimal quantized feedback control for linear quandratic Gaussian systems with input delay","authors":"Huiling Chen,&nbsp;Xiao liang,&nbsp;Guilin Zhang","doi":"10.1002/asjc.3493","DOIUrl":"10.1002/asjc.3493","url":null,"abstract":"<p>This paper is concerned with the optimal quantized feedback linear quadratic Gaussian (LQG) control problem for a discrete-time stochastic system with input delay as well as the measurements to be quantized before transmitted to the controller. In this scenario, the system is presented with several choices of quantizers, along with the cost of using each quantizer. The objective is to jointly select the quantizers and synthesize the controller to maintain an optimal balance between control performance and quantization cost. It is shown that this problem can be decoupled into two optimization problems when the innovation signal is quantized instead of state: one for optimal controller synthesis and the other for optimal quantizer selection. More specifically, a necessary and sufficient condition is derived for the optimal control problem based on Pontryagin's maximum principle. On the other hand, the optimal quantizer selection policy is established by dealing with a certain Markov decision process (MDP).</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 3","pages":"1244-1255"},"PeriodicalIF":2.7,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249516","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}
引用次数: 0
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