Robust H_∞ static output feedback control of saturated uncertain discrete-time switched systems

WANG Mao; FAN You-gao; QIU Jian-bin; GU

doi:10.11918/j.issn.0367-6234.2011.07.003

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Robust H_∞ static output feedback control of saturated uncertain discrete-time switched systems

更新时间：2026-10-11

- Robust H_∞ static output feedback control of saturated uncertain discrete-time switched systems
- Vol. 43, Issue 7, Pages: 12-18(2011)
- 作者机构：
  
  哈尔滨工业大学空间控制与惯性技术研究中心
- 作者简介：
- 基金信息：
- DOI：10.11918/j.issn.0367-6234.2011.07.003
  CLC： TP13
- Published：2011
- 稿件说明：
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WANG Mao, FAN You-gao, QIU Jian-bin, et al. Robust H_∞ static output feedback control of saturated uncertain discrete-time switched systems[J]. 2011, 43(7): 12-18.
DOI：

WANG Mao, FAN You-gao, QIU Jian-bin, et al. Robust H_∞ static output feedback control of saturated uncertain discrete-time switched systems[J]. 2011, 43(7): 12-18. DOI： 10.11918/j.issn.0367-6234.2011.07.003.

摘要

研究一类具有饱和输入的多胞不确定性离散切换系统

在平均驻留时间切换方式下的鲁棒H∞静态输出反馈控制问题.基于参数依赖间断切换Lyapunov函数和几个基本引理

通过求解LMI最优问题

设计出在平均驻留时间切换信号下

使闭环系统达到局部指数稳定的鲁棒H∞静态输出反馈控制器.仿真结果表明了所提设计方法的有效性.

Abstract

The static output feedback control problem is studied for a class of discrete-time switched linear systems with polytopic uncertainties subject to actuator saturations.Based on a parameter-dependent discontinuous switched Lyapunov function and some basic lemmas

a switched robust H-infinity static output-feedback controller is designed to guarantee the locally exponential stability of the resulting closed-loop system under average dwell-time switching scheme by using a convex optimization problem subject to linear matrix inequalities(LMI) constraints.Finally

a numerical example is given to illustrate the effectiveness of the proposed design approach.

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