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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-07-02 DOI: 10.1002/asjc.3462
Hongchao Li, Qiancheng Jiang, Jiao Liu

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.

本文通过制定的饱和度依赖事件触发机制来研究非对称饱和系统的控制问题。采用子区域划分法将非对称饱和表示为各子区域的对称饱和。为了进一步减少系统饱和时的触发次数,节省系统的通信资源,本文建立了与饱和度相关的自适应事件触发条件。然后,在提出的事件触发方案下设计了与子区域相关的控制律,并实现了底层系统的渐近稳定。此外,还提出了一种估算最大吸引域的优化算法。最后,通过仿真实例验证了理论结果。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-07-02 DOI: 10.1002/asjc.3459
Dong-Shuai Chen, Xing-Chen Shangguan, Yong He
<p>The problem of the robust stability and <span></span><math> <semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>∞</mi> </mrow> </msub> </mrow> <annotation>$$ {H}_{infty } $$</annotation> </semantics></math> 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 <span></span><math> <semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>∞</mi> </mrow> </msub> </mrow> <annotation>$$ {H}_{infty } $$</annotation> </semantics></math> 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 <span></span><math> <semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>∞</mi> </mrow> </msub> </mrow> <annotation>$$ {H}_{infty } $$</annotation> </semantics></math> performance level. At last, two numerical examples are presented to verify the effectiveness and the superiority of the methods obtained.<span></span><math> <semantics> <mrow> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>∞</mi> </mrow> </msub> </mrow> <annotation>$$ {H}_{infty } $$</annotation>
本文研究了时变延迟不确定线性系统(TVDULS)的鲁棒性稳定性和性能评估问题。首先,为了获得 TVDULS 的改进鲁棒延迟依赖条件,建立了新的增强 Lyapunov-Krasovskii 函数(LKF),并定制了基于变量增强的自由加权矩阵(VAFWMs)技术来评估函数导数。与现有的鲁棒稳定性方法相比,所构建的函数充分考虑了系统的时间延迟信息,并提供了更多的延迟交叉项,其中相应的矩阵用于放松稳定性条件中的线性矩阵不等式约束。同时,VAFWMs 方法充分考虑了函数导数中一些延迟积分项的线性关系,避免了使用二次阶或更高阶的时间延迟项。然后,在所提出的鲁棒稳定性条件的基础上,得到了 TVDULSs 抗干扰的改进性能分析准则。在给定的性能水平下,所提出的准则提供了不确定线性系统可容忍的最大延迟上限。最后,通过两个数值实例验证了所获方法的有效性和优越性。
{"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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-07-02 DOI: 10.1002/asjc.3460
Zhipeng Li, Yanqian Wang, Guangming Zhuang, Zhibo Yang

This paper mainly studies the design of asynchronous controllers for positive singular semi-Markov jump systems with L1$$ {mathcal{L}}_1 $$ 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.

本文主要研究正奇异半马尔可夫跳跃系统在动态记忆事件触发下性能的异步控制器设计。首次建立了正奇异半马尔可夫跳跃系统模型。并利用动态记忆事件触发传输协议来减轻网络传输压力。然后,建立了包括 DoS 攻击和欺骗攻击在内的统一网络攻击框架。使用简单的隐马尔可夫模型(HMM)来描述控制器与系统之间的异步现象。考虑到现实中无法准确获取所有数据的情况,简单的 HMM 被设定为部分未知的条件概率矩阵。基于随机 Lyapunov 函数,得到了闭环系统的随机可容许条件。最后,给出了一个数值示例来验证所提方法的有效性。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-30 DOI: 10.1002/asjc.3420
Bilal Şenol, Uğur Demiroğlu

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.

分数复阶植物模型是本研究的主要课题,该模型近来在应用物理学和控制系统领域颇受欢迎。本研究对文献的主要贡献在于讨论复杂植物模型的物理现象及其如何影响系统的稳定性和鲁棒性。由于分数复阶工厂模型是最通用的数学形式,因此可以利用这一优势轻松创建涵盖整阶工厂和分数阶工厂的其他工厂模型。本文提出的方法使用经典的比例积分控制器,即整数阶 PI 控制器,给出了整数阶、分数阶和复数阶工厂物理变化的计算公式。通过直观图和模拟,描述了参数对系统的影响。此外,还讨论了针对三种植物提出的控制器设计的优缺点。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-30 DOI: 10.1002/asjc.3442
Yuan Wang, Huaicheng Yan, Zhichen Li, Meng Wang, Kaibo Shi

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.

对于连续时间复值神经网络,本文通过动态事件触发协议来解决状态反馈稳定问题。针对随机参数切换,半马尔可夫跃迁模型在通用性上超越了马尔可夫跃迁模型,使我们能够有效捕捉复值神经网络结构和参数随机突变的发生。为了优化数据包传输,我们引入了一种新的基于事件的动态协议来判断前一个信号传输是否继续。该协议的设计充分考虑了系统的虚部特征,同时还整合了系统模式和动态变量。利用包含辅助内部动态变量的适当 Lyapunov 函数,提出了所需的稳定性。最后,通过两次数值模拟,最终验证了理论发现的有效性。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-27 DOI: 10.1002/asjc.3436
Zhu Meng, Jiawei Ma, Huanqing Wang

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.

本文研究了高阶开关系统的自适应预定义时间控制问题。本文引入了神经网络(NN)来逼近不确定的非线性函数。特别是提出了一种新型预定义时间收敛滤波器,以避免虚拟控制器的重复微分问题。在反步递归技术和共 Lyapunov 函数(CLF)方法的基础上,提出了一种神经自适应预定义时间动态表面控制(DSC)方案,该方案能证明闭环系统中的所有信号都是有界的,跟踪误差能在预定义时间内收敛到接近零的小区域。仿真结果表明了所提控制方案的有效性。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-24 DOI: 10.1002/asjc.3453
Ge Wei, Jie Wu, Xisheng Zhan, Bo Wu, Huaicheng Yan

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.

本文研究了有符号数字图下多代理系统(MAS)的双方格时变编队(BTVF)跟踪问题,其中领导者的输入是未知和有界的。提出了一种新型的 MAS 自适应非光滑 BTVF 跟踪协议,它不使用拉普拉卡矩阵的特征值。基于状态观测器,解决了系统状态不可测量的问题。此外,为了避免领导者非零输入引起的不希望的颤振,还提出了连续协议。在这种情况下,误差是均匀最终有界的。Lyapunov 方法反映了所提交协议的收敛性分析。最后,在多机器人系统上取得了理想的理论结果。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-24 DOI: 10.1002/asjc.3451
Yanru Geng, Zhiyun Zhao

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.

本文研究了受到虚假数据注入(FDI)攻击的异构多代理系统(MASs)的合作输出调节问题,FDI 是指恶意网络攻击者可能随机向通信拓扑中注入虚假数据。为了确保每个跟随者代理都能准确跟踪领导者代理,我们为每个跟随者代理构建了观察器和控制法则。由于通信网络中可能存在 FDI 攻击,因此我们为每个观测器配备了一个带有自适应补偿器的滤波器,该滤波器可以动态估计攻击信号,从而在恶意攻击者发起攻击时抵消攻击。因此,无论是否存在攻击,基于观测器的控制法则都能实现协同输出调节。最后,还提供了一个数值示例来验证理论结果。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-24 DOI: 10.1002/asjc.3446
Shuang Wang, Tao Han, Bo Xiao, Xiao-Feng Zhao, Huaicheng Yan

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.

本文主要探讨了具有外部干扰和参数不确定性的网络化欧拉-拉格朗日系统(NELS)的双方位时变编队跟踪(BTVFT)问题,考虑了包含合作与竞争交互的有向签名通信网络。一种新颖的非奇异滑模控制(SMC)方法是预定义时间分层控制算法(PTHCA)的基础,该算法用于在预定义时间内解决 NELS 的 BTVFT 挑战。这种方法可将沉降时间作为控制参数进行预定。此外,基于 Lyapunov 论证,还提供了建立闭环系统预定时间稳定性的充分条件。为了证明主要研究成果的有效性,还进行了模拟实验。
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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 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-19 DOI: 10.1002/asjc.3418
Huan Li, Guoliang Wei, Yamei Ju, Hongxiao Hu

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 2$$ {ell}_2-{ell}_{infty } $$ performance, and the controller gain is subsequently designed. Finally, a simulation example is conducted to verify the validity of the developed tracking control scheme.

本文研究了基于累积的事件触发协议下一类离散时间多延迟系统的跟踪控制问题。所考虑的多延迟现象在现实世界中极为常见,包括时变延迟和恒定延迟。在传感器与远程跟踪控制器的通信中采用了基于累积的事件触发协议,以减轻通信负担。通过利用 Lyapunov-Krasovskii 函数和矩阵不等式技术,提出了保证跟踪误差和性能指数稳定性的充分条件,并随后设计了控制器增益。最后,通过一个仿真实例验证了所开发的跟踪控制方案的有效性。
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引用次数: 0
期刊
Asian Journal of Control
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