计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (22): 214-217.

• 工程与应用 • 上一篇    下一篇

多时滞离散切换系统的动态输出反馈H∞控制

王  强1,聂  宏2   

  1. 1.辽宁石油化工大学 信息与控制工程学院,辽宁 抚顺 113001
    2.辽宁石油化工大学 理学院,辽宁 抚顺 113001
  • 出版日期:2015-11-15 发布日期:2015-11-16

Robust [H∞] dynamic output feedback control for a class of discrete time switched systems with multi-delay

WANG Qing1, NIE Hong2   

  1. 1.School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, China
    2.School of Sciences,Liaoning Shihua University, Fushun, Liaoning 113001, China
  • Online:2015-11-15 Published:2015-11-16

摘要: 借助多Lyapunov函数方法,研究一类具有多时滞的离散切换系统的鲁棒[H∞]控制问题。假设切换系统的每个子系统都不能实现鲁棒[H∞]控制,基于切换动态输出反馈控制策略,给出了系统存在鲁棒[H∞]干扰抑制水平[γ]可切换镇定的充分条件,并表示成与时滞相关的线性矩阵不等式(LMI)形式,还分别给出了切换律和动态输出反馈控制器的设计方案。最后用仿真例子说明了结论的有效性。

关键词: 离散切换系统, 动态输出反馈, 多时滞, 多Lyapunov函数, 鲁棒H&infin, 控制

Abstract: Using multiple Lyapunov function, the problem of the robust [H∞] control is discussed for a class of discrete time switched systems with multi-delay. Assuming that the [H∞] control cannot be implemented in each individual subsystem and based on switching output feedback control, a delay-dependent and LMI-based sufficient condition is given for the system to be robust [H∞] stabilizable, and switching law and dynamic output feedback controller are designed. A simulation example is given to show the validity of the results.

Key words: discrete time switched systems, output feedback control, multi-delay, multiple Lyapunov function, robust [H∞] control