Asian Journal of Control最新文献

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A novel saturation degree-dependent adaptive event-triggered control for systems with asymmetric saturation 针对非对称饱和系统的新型饱和度自适应事件触发控制装置
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-07-02 DOI: 10.1002/asjc.3462
Hongchao Li, Qiancheng Jiang, Jiao Liu
{"title":"A novel saturation degree-dependent adaptive event-triggered control for systems with asymmetric saturation","authors":"Hongchao Li,&nbsp;Qiancheng Jiang,&nbsp;Jiao Liu","doi":"10.1002/asjc.3462","DOIUrl":"10.1002/asjc.3462","url":null,"abstract":"<p>This paper investigates the control problem of systems with asymmetric saturation by the formulated saturation degree-dependent event-triggered mechanism. The subregion partition method is adopted to represent the asymmetric saturation as the symmetric saturation in each subregion. In order to further reduce the triggering number when the system is saturated and save the communication resources of the system, this paper establishes the saturation degree-dependent adaptive event-triggered condition. Then, the subregion-related control law under the presented event-triggered scheme is designed, and the asymptotic stabilization of the underlying system is realized. Moreover, an optimization algorithm is proposed to estimate the maximal domain of attraction. Finally, simulation examples are used to validate the theoretical results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"716-727"},"PeriodicalIF":2.7,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529233","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 stability and H ∞ $$ {H}_{infty } $$ performance evaluation for time-varying-delayed uncertain linear systems based on variable-augmented-based free-weighting matrices 基于变增量自由加权矩阵的时变延迟不确定线性系统的鲁棒稳定性和 H∞$$ {H}_{infty }基于可变增量自由加权矩阵的时变延迟不确定线性系统的 $$ 性能评估
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-07-02 DOI: 10.1002/asjc.3459
Dong-Shuai Chen, Xing-Chen Shangguan, Yong He
{"title":"Robust stability and \u0000\u0000 \u0000 \u0000 \u0000 \u0000 H\u0000 \u0000 \u0000 ∞\u0000 \u0000 \u0000 \u0000 $$ {H}_{infty } $$\u0000 performance evaluation for time-varying-delayed uncertain linear systems based on variable-augmented-based free-weighting matrices","authors":"Dong-Shuai Chen,&nbsp;Xing-Chen Shangguan,&nbsp;Yong He","doi":"10.1002/asjc.3459","DOIUrl":"10.1002/asjc.3459","url":null,"abstract":"&lt;p&gt;The problem of the robust stability and \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {H}_{infty } $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; performance evaluation of time-varying-delayed uncertain linear systems (TVDULSs) is studied in this article. At first, to obtain a modified robust delay-dependent condition of TVDULSs, a novel augmented Lyapunov-Krasovskii functional (LKF) is established, and a variable-augmented-based free-weighting matrices (VAFWMs) technique is tailored to evaluate the functional derivative. Compared with the existing robust stability methods, the constructed functional takes fully time delay information of the system into consideration and provides more delay-cross terms, where the corresponding matrices are used to relax the constraints of linear matrix inequalities in the stability condition. Also, the VAFWMs method fully considers the linear relation of some delayed integral terms in the functional derivative, which avoids the usage of a quadratic order or higher order terms of the time delay. Then, an improved \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {H}_{infty } $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; performance analysis criterion of TVDULSs is obtained against the disturbance on the basis of the proposed robust stability condition. The admissible maximal delay upper bounds that the uncertain linear system can tolerate are provided by proposed criterion under a given \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {H}_{infty } $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; performance level. At last, two numerical examples are presented to verify the effectiveness and the superiority of the methods obtained.\u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {H}_{infty } $$&lt;/annotation&gt;\u0000","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"610-621"},"PeriodicalIF":2.7,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529234","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
Dynamic-memory event-based asynchronous security control for positive singular semi-Markov jumping CPSs against multiple cyber-attacks 针对多重网络攻击的正奇异半马尔科夫跃迁 CPS 的基于动态记忆事件的异步安全控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-07-02 DOI: 10.1002/asjc.3460
Zhipeng Li, Yanqian Wang, Guangming Zhuang, Zhibo Yang
{"title":"Dynamic-memory event-based asynchronous security control for positive singular semi-Markov jumping CPSs against multiple cyber-attacks","authors":"Zhipeng Li,&nbsp;Yanqian Wang,&nbsp;Guangming Zhuang,&nbsp;Zhibo Yang","doi":"10.1002/asjc.3460","DOIUrl":"10.1002/asjc.3460","url":null,"abstract":"<p>This paper mainly studies the design of asynchronous controllers for positive singular semi-Markov jump systems with \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>L</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {mathcal{L}}_1 $$</annotation>\u0000 </semantics></math> performance under the dynamic-memory event-triggered. The positive singular semi-Markov jump system model is established for the first time. And the dynamic-memory event-triggered transmission protocol is used to reduce network transmission pressure. Then, a unified cyber-attack framework that includes DoS attacks and spoofing attacks is established. A simple hidden Markovian model (HMM) model is used to describe the asynchronous phenomena between the controller and the system. Considering the situation where all data cannot be accurately obtained in reality, a simple HMM is set as a partially unknown conditional probability matrix. Based on stochastic Lyapunov functional, the stochastically admissible conditions for the closed-loop systems are obtained. Finally, a numerical example is given to verify the effectiveness of the proposed method.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 2","pages":"704-715"},"PeriodicalIF":2.7,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529235","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
Analyzing complex fractional order systems physical phenomena in IOPI controller design 在 IOPI 控制器设计中分析复杂分数阶系统的物理现象
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-30 DOI: 10.1002/asjc.3420
Bilal Şenol, Uğur Demiroğlu
{"title":"Analyzing complex fractional order systems physical phenomena in IOPI controller design","authors":"Bilal Şenol,&nbsp;Uğur Demiroğlu","doi":"10.1002/asjc.3420","DOIUrl":"10.1002/asjc.3420","url":null,"abstract":"<p>The Fractional Complex Order Plant model, which has lately gained popularity in applied physics and control systems, is the main subject of this study. The major contribution of this study to the literature is the discussion of the physical phenomena of complex plant models and how they affect the stability and robustness of the systems. Because the Fractional Complex Order Plant model is the most general mathematical form, other plant models covering the Integer Order Plant and the Fractional Order Plant can be easily created with this benefit. The proposed approach using the classical Proportional Integral controller which is recalled as the Integer-Order PI controller in this paper gives the calculation equations of the physical alterations of plants having integer, fractional, and complex orders. Along with the visuals and with the aid of simulations, the consequences of the parameters on the system are described. Additionally, the advantages and disadvantages of the proposed controller designs for each of the three plant species are discussed.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"26 5","pages":"2324-2337"},"PeriodicalIF":2.7,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505394","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
Stabilization of complex-valued neural networks subject to semi-Markov jumping parameters: A dynamic event-triggered protocol 受半马尔科夫跳跃参数影响的复值神经网络的稳定:动态事件触发协议
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-30 DOI: 10.1002/asjc.3442
Yuan Wang, Huaicheng Yan, Zhichen Li, Meng Wang, Kaibo Shi
{"title":"Stabilization of complex-valued neural networks subject to semi-Markov jumping parameters: A dynamic event-triggered protocol","authors":"Yuan Wang,&nbsp;Huaicheng Yan,&nbsp;Zhichen Li,&nbsp;Meng Wang,&nbsp;Kaibo Shi","doi":"10.1002/asjc.3442","DOIUrl":"10.1002/asjc.3442","url":null,"abstract":"<p>For continuous-time complex-valued neural networks, this paper addresses the state-feedback stabilization issue via dynamic event-triggered protocol. Aiming at random parameters' switching, semi-Markov jump model surpasses the Markov jump model in terms of its generality, enabling us to effectively capture the occurrence of random abrupt alterations in both the structure and parameters of complex-valued neural networks. To optimize packet transmission, a new dynamic event-based protocol is introduced to judge whether the previous signal transmission continues. The design of this protocol takes into full consideration the imaginary part characteristics of the system, while also integrating the system modes and dynamic variables. Utilizing an appropriate Lyapunov functional that contains auxiliary internal dynamical variables, the desired stability is proposed. Eventually, the effectiveness of theoretical findings is ultimately validated through two numerical simulations.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"26 6","pages":"3002-3013"},"PeriodicalIF":2.7,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505417","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
Predefined-time adaptive neural dynamic surface tracking control for high-order nonlinear switched systems 高阶非线性开关系统的预定义时间自适应神经动态表面跟踪控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-27 DOI: 10.1002/asjc.3436
Zhu Meng, Jiawei Ma, Huanqing Wang
{"title":"Predefined-time adaptive neural dynamic surface tracking control for high-order nonlinear switched systems","authors":"Zhu Meng,&nbsp;Jiawei Ma,&nbsp;Huanqing Wang","doi":"10.1002/asjc.3436","DOIUrl":"10.1002/asjc.3436","url":null,"abstract":"<p>In this article, the issue of adaptive predefined-time control for high-order switched systems is researched. Neural networks (NNs) are introduced to approximate the uncertain nonlinear functions. In particular, a novel predefined-time convergence filter is proposed to refrain from the problem of repeated differentiation of virtual controllers. On the basis of the backstepping recursion technique and the common Lyapunov function (CLF) approach, a neural adaptive predefined-time dynamic surface control (DSC) scheme is proposed that can demonstrate all the signals in closed-loop systems are bounded and the tracking error can converge to a small area near zero within predefined time. The simulation results illustrate the effectiveness of the proposed control scheme.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"343-356"},"PeriodicalIF":2.7,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505395","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 adaptive time-varying bipartite formation tracking of multi-agent systems with multiple nonautonomous leaders 具有多个非自主领导者的多代理系统的基于观测器的自适应时变双方阵跟踪
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-24 DOI: 10.1002/asjc.3453
Ge Wei, Jie Wu, Xisheng Zhan, Bo Wu, Huaicheng Yan
{"title":"Observer-based adaptive time-varying bipartite formation tracking of multi-agent systems with multiple nonautonomous leaders","authors":"Ge Wei,&nbsp;Jie Wu,&nbsp;Xisheng Zhan,&nbsp;Bo Wu,&nbsp;Huaicheng Yan","doi":"10.1002/asjc.3453","DOIUrl":"10.1002/asjc.3453","url":null,"abstract":"<p>In this article, the problem of bipartite time-varying formation (BTVF) tracking for multi-agent systems (MASs) under signed digraphs is investigated, in which the inputs of leaders are unknown and bounded. A novel kind of adaptive nonsmooth BTVF tracking protocol for MASs is proposed that did not utilize eigenvalue of Laplacian matrix. Based on the state observer, the problem that the system states are not measurable is solved. In addition, in order to avoid undesirable chattering caused by leaders' nonzero inputs, continuous protocols are proposed. And in this case, the error is uniformly ultimately bounded. Lyapunov method reflects the convergence analysis of the submitted protocols. At last, the desired theoretical results are achieved on a multirobot system.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"397-409"},"PeriodicalIF":2.7,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505434","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
Cooperative output regulation of heterogeneous multi-agent systems under false data injection attacks 虚假数据注入攻击下异构多代理系统的合作输出调节
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-24 DOI: 10.1002/asjc.3451
Yanru Geng, Zhiyun Zhao
{"title":"Cooperative output regulation of heterogeneous multi-agent systems under false data injection attacks","authors":"Yanru Geng,&nbsp;Zhiyun Zhao","doi":"10.1002/asjc.3451","DOIUrl":"10.1002/asjc.3451","url":null,"abstract":"<p>This paper studies the cooperative output regulation problem for heterogeneous multi-agent systems (MASs) subject to false data injection (FDI) attacks, which means the malicious cyber-attackers may inject false data into the communication topology randomly. To ensure that each follower agent can track the leader agent accurately, we construct both an observer and a control law for each follower agent. Since the FDI attacks may exist in the communication network, a filter with an adaptive compensator, which can estimate attack signals dynamically, is equipped for each observer, such that the filter can neutralize attacks when malicious attackers launch attacks. Therefore, the cooperative output regulation can be achieved under the control law based on the observer no matter whether there exist attacks or not. Finally, a numerical example is provided for validating the theoretical results.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"447-458"},"PeriodicalIF":2.7,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505396","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
Predefined-time hierarchical control for bipartite time-varying formation tracking of networked Euler–Lagrange systems with parametric uncertainties 具有参数不确定性的网络化欧拉-拉格朗日系统双方位时变编队跟踪的预定义时间分层控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-24 DOI: 10.1002/asjc.3446
Shuang Wang, Tao Han, Bo Xiao, Xiao-Feng Zhao, Huaicheng Yan
{"title":"Predefined-time hierarchical control for bipartite time-varying formation tracking of networked Euler–Lagrange systems with parametric uncertainties","authors":"Shuang Wang,&nbsp;Tao Han,&nbsp;Bo Xiao,&nbsp;Xiao-Feng Zhao,&nbsp;Huaicheng Yan","doi":"10.1002/asjc.3446","DOIUrl":"10.1002/asjc.3446","url":null,"abstract":"<p>This paper mainly addresses the bipartite time-varying formation tracking (BTVFT) problem for networked Euler–Lagrange systems (NELSs) with external disturbances and parametric uncertainties, considering a directed signed communication network that encompasses both cooperative and competitive interactions. A novel nonsingular sliding mode control (SMC) method serves as the foundation for a predefined-time hierarchical control algorithm (PTHCA), introduced to tackle the BTVFT challenge for NELSs in a predefined time. This approach enables the settling time to be predetermined as a control parameter. Moreover, sufficient conditions for establishing the predefined-time stability of closed-loop systems are provided based on the Lyapunov argument. Simulations are conducted to demonstrate the effectiveness of the main findings.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"518-531"},"PeriodicalIF":2.7,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505400","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
ℓ2−ℓ∞ tracking control for multidelayed systems under accumulation-based event-triggered protocol ℓ2-ℓ∞$$ {ell}_2-{ell}_{infty }基于累积的事件触发协议下多延迟系统的 $$ 跟踪控制
IF 2.7 4区 计算机科学
Asian Journal of Control Pub Date : 2024-06-19 DOI: 10.1002/asjc.3418
Huan Li, Guoliang Wei, Yamei Ju, Hongxiao Hu
{"title":"ℓ2−ℓ∞ tracking control for multidelayed systems under accumulation-based event-triggered protocol","authors":"Huan Li,&nbsp;Guoliang Wei,&nbsp;Yamei Ju,&nbsp;Hongxiao Hu","doi":"10.1002/asjc.3418","DOIUrl":"10.1002/asjc.3418","url":null,"abstract":"<p>In this paper, the tracking control problem is investigated for a class of discrete-time multidelayed systems under the accumulation-based event-triggered protocol. The considered phenomena of multidelays, which are extremely common in the real world, include the time-varying delays and the constant delays. The accumulation-based event-triggered protocol is deployed in the communication from sensors to the remote tracking controller in order to alleviate the communication burden. By utilizing the Lyapunov–Krasovskii functional and matrix inequality technology, sufficient conditions are presented to guarantee the exponential stability of the tracking error and the \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>ℓ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 <mo>−</mo>\u0000 <msub>\u0000 <mrow>\u0000 <mi>ℓ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {ell}_2-{ell}_{infty } $$</annotation>\u0000 </semantics></math> performance, and the controller gain is subsequently designed. Finally, a simulation example is conducted to verify the validity of the developed tracking control scheme.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"27 1","pages":"230-245"},"PeriodicalIF":2.7,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141505404","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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