Observer-Based Stabilization of Nonhomogeneous Semi-Markov Jump Linear Systems With Mode-Switching Delays

Ning Zepeng; Zhang Lixian; Zheng Wei Xing

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Observer-Based Stabilization of Nonhomogeneous Semi-Markov Jump Linear Systems With Mode-Switching Delays

机译：基于观测器的具有模式切换时滞的非齐次半马尔可夫跳跃线性系统的镇定

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This technical note addresses the problem of simultaneous design of observer and controller for discrete-time nonhomogeneous semi-Markov jump linear systems (S-MJLSs) against mode mismatches between system and observer-based controller. The considered systems are more general than homogeneous S-MJLSs, and the mode mismatches are caused by time delays of mode switchings of controller. Based on the semi-Markov kernel approach, together with the Lyapunov function depending upon not only both the system and controller modes but also the time that has elapsed in the current mode, sufficient conditions on the existence of the desired mode-dependent observer-based controller are presented such that the augmented nonhomogeneous S-MJLS composed of a closed-loop control system and an estimation error system is cr-error mean square stable. Finally, a practical example of a quarter-car active suspension is provided to validate the superiorities of the proposed control strategy.

机译：本技术说明解决了针对离散时间非均匀半马尔可夫跳跃线性系统（S-MJLSs）的观察器和控制器的同时设计问题，以防止系统和基于观察器的控制器之间的模式不匹配。所考虑的系统比同类S-MJLS更通用，并且模式不匹配是由控制器的模式切换的时间延迟引起的。基于半马尔可夫核方法，与Lyapunov函数一起不仅取决于系统和控制器模式，还取决于当前模式下所经过的时间，以及基于期望的依赖于模式的基于观测器的充分条件提出了一种控制器，使得由闭环控制系统和估计误差系统组成的增强型非均匀S-MJLS是cr误差均方稳定的。最后，提供了四分之一车主动悬架的实际示例，以验证所提出的控制策略的优越性。

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来源
《IEEE Transactions on Automatic Control》 |2019年第5期|2029-2036|共8页
作者
Ning Zepeng; Zhang Lixian; Zheng Wei Xing;
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作者单位

Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130025, Jilin, Peoples R China|Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Heilongjiang, Peoples R China;

Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130025, Jilin, Peoples R China|Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Heilongjiang, Peoples R China;

Western Sydney Univ, Sch Comp Engn & Math, Sydney, NSW 2751, Australia;

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Elapsed-time-dependent Lyapunov function; mode-switching delays; nonhomogeneous semi-Markov jump linear systems (S-MJLSs); observer-based control; sigma-error mean square stability (sigma-MSS);

机译：经过时间依赖的Lyapunov函数;模式切换延迟;非均匀半马尔可夫跳跃线性系统（S-MJLS）;基于观察者的控制;Sigma误差均方稳定性（Sigma-MS）;

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专利

1. Observer-Based Stabilization of Nonhomogeneous Semi-Markov Jump Linear Systems With Mode-Switching Delays [J] . Ning Zepeng, Zhang Lixian, Zheng Wei Xing IEEE Transactions on Automatic Control . 2019,第5期

机译：基于Observer的非均匀半马尔可夫跳跃线性系统的稳定性，具有模式切换延迟
2. H∞ Stabilization of Discrete-Time Nonlinear Semi-Markov Jump Singularly Perturbed Systems With Partially Known Semi-Markov Kernel Information [J] . Hao Shen, Mengping Xing, Shengyuan Xu, IEEE transactions on circuits and systems . I , Regular papers . 2021,第2期

机译：H∞离散时间非线性半马尔可夫的稳定化，具有部分已知的半马尔可夫内核信息的奇异扰动系统
3. Stability and Stabilization of Discrete-Time Semi-Markov Jump Linear Systems via Semi-Markov Kernel Approach [J] . Zhang Lixian, Leng Yusong, Colaneri Patrizio Automatic Control, IEEE Transactions on . 2016,第2期

机译：半马尔可夫核方法的离散半马尔可夫跳跃线性系统的稳定性和稳定性
4. Stability and stabilization of discrete-time semi-Markov jump linear systems with delay in controller mode switching [C] . Zepeng Ning, Junnan Shen, Peng Shi, IEEE Conference on Decision and Control . 2016

机译：控制器模式切换时滞的离散时间半马尔可夫跳跃线性系统的稳定性和稳定性
5. Analysis and Synthesis of Semi-Markov Jump Linear Systems and Networked Dynamic Systems. [D] . Huang, Ji. 2013

机译：半马尔可夫跳跃线性系统和网络动态系统的分析与综合。
6. High-gain observer-based nonlinear control scheme for biomechanical sit to stand movement in the presence of sensory feedback delays [O] . Nadia Sultan, Asif Mahmood Mughal, Muhammad Najam ul Islam, 2021

机译：基于高增益观测器的非线性控制方案用于生物力学坐标在感觉反馈延迟存在下进行运动
7. Observer-based H infinity control on nonhomogeneous Markov jump systems with nonlinear input [O] . Yin, Y., Shi, P., Liu, F., 2014

机译：基于观测器的非线性输入非齐次马尔可夫跳跃系统的H∞控制

Observer-Based Stabilization of Nonhomogeneous Semi-Markov Jump Linear Systems With Mode-Switching Delays

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