饱和切换系统鲁棒H_∞静态输出反馈控制

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

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.

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.