一类非线性切换系统基于观测器的H_∞输出跟踪控制

Observer-based H_∞ output tracking control for a class of switched nonlinear systems

对一类非线性切换系统,研究了其基于观测器的H∞输出跟踪控制问题.借助微分中值定理,将非线性切换系统转化为线性参数切换系统.当状态变量不可测或不易测时,基于平均驻留时间方法,给出系统在基于观测器的反馈控制器以及满足平均驻留时间条件的切换信号下带有权重的H∞输出跟踪控制问题可解的充分条件.仿真实例证明了设计方法的有效性.

The observer-based H∞ output tracking control problem is studied for a class of nonlinear switched systems. The differential mean value theorem guarantees transforming the switched nonlinear systems into switched linear completely available, observer-based parameter-varying systems. When the state variables are not feedback controllers and switching strategies satisfying an average dwell time condition are designed via the average dwell time approach to derive sufficient conditions for H∞ output tracking control with weighted performance. Finally, a numerical example illustrates the effectiveness of the proposed method.