Robust finite-time H∞ control for switched systems by using sojourn-probability-dependent method

Yinghui Hu; Engang Tian; Leiming Zhang; Wei Gu

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Robust finite-time H∞ control for switched systems by using sojourn-probability-dependent method

机译：依赖于逗留概率的切换系统的鲁棒有限时间H∞控制

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摘要

This study deals with the problem of robust H∞ finite-time boundedness analysis and design of finite-time H∞ feedback control for discrete switched systems. By using sojourn probability information, a new kind of switched system model is proposed. Based on this model, sufficient conditions for the H∞ finite-time boundedness are obtained by using Lyapunov functional method and the corresponding controllers are also designed. Moreover, when considering partially known probabilities and unknown system uncertainties, the analysis and design methods are also given. Finally, an example is given to illustrate the efficiency of the proposed method.

机译：本文研究了离散切换系统鲁棒H∞有限时间有界性分析和有限时间H∞反馈控制的设计问题。利用逗留概率信息，提出了一种新型的交换系统模型。在此模型的基础上，利用Lyapunov泛函方法获得了H∞有限时间有界的充分条件，并设计了相应的控制器。此外，当考虑部分已知的概率和未知的系统不确定性时，还给出了分析和设计方法。最后，通过一个例子说明了该方法的有效性。

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来源
《Signal Processing, IET》 |2016年第7期|833-840|共8页
作者
Yinghui Hu; Engang Tian; Leiming Zhang; Wei Gu;
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作者单位

Nanjing Normal University, People's Republic of China;

Nanjing Normal University, People's Republic of China;

Nanjing Normal University, People's Republic of China;

Nanjing University of Science and Technology, People's Republic of China;

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原文格式 PDF
正文语种 eng
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关键词
uncertain systems; control system analysis; control system synthesis; discrete systems; feedback; H∞ control; Lyapunov methods; probability; robust control; switching systems (control);

机译：不确定系统;控制系统分析;控制系统综合;离散系统;反馈;H∞控制;Lyapunov方法;概率;鲁棒控制;切换系统（控制）;

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1. Robust H1 control for switched systems with input delays: A sojourn-probability-dependent method [J] . Engang Tian, W.K. Wong, Dong Yue Information Sciences: An International Journal . 2014,第Null期

机译：具有输入延迟的切换系统的鲁棒H1控制：一种依赖于隐居概率的方法
2. Delay-Dependent Robust Finite-Time H_∞ Control for Uncertain Large Delay Systems Based on a Switching Method [J] . Guo Tingting, Wu Baowei, Wang Yue-E, Circuits, systems, and signal processing . 2018,第11期

机译：基于切换方法的不确定大型时滞系统的时滞相关鲁棒有限时间H_∞控制
3. Robust adaptive finite-time stabilization control for a class of nonlinear switched systems based on finite-time disturbance observer [J] . Mirzaei Mohammad Javad, Aslmostafa Ehsan, Asadollahi Mostafa, Journal of the Franklin Institute . 2021,第7期

机译：基于有限时间干扰观察者的一类非线性交换系统的鲁棒自适应有限时间稳定控制
4. Robust H∞ dynamie output feedback control for discrete switched systems by using sojourn-probability-dependent method [C] . Hu Yinghui, Gu Wei, Tian Engang Chinese Control Conference . 2015

机译：依赖跳变概率的方法对离散切换系统的鲁棒H ∞动力输出反馈控制
5. Hierarchical robust nonlinear switching control design for propulsion systems. [D] . Leonessa, Alexander. 1999

机译：推进系统的分层鲁棒非线性切换控制设计。
6. Distributed Leader-Following Finite-Time Consensus Control for Linear Multiagent Systems under Switching Topology [O] . Xiaole Xu, Shengyong Chen, Lixin Gao -1

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7. Robust Finite-Time H∞ Filtering for Uncertain Switched Systems With State Constraints and Multiple Time Delays [O] . Shuowei Jin, Aiyun Yan, Yongheng Pang, 2020

机译：具有状态约束的不确定开关系统的鲁棒有限时间H∞过滤和多次延迟

Robust finite-time H∞ control for switched systems by using sojourn-probability-dependent method

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