一类线性切换系统的观测器设计

Observer Design for a Class of Linear Switched Systems

针对一类线性切换系统,研究了状态观测器设计问题.构造合适的Lyapunov函数,并利用矩阵不等式得到了保证状态估计误差指数收敛的条件.在每次切换时让状态发生跳变并设计跳变量,以改善观测系统性能,减小跟踪误差.给出的仿真算例表明了该设计方法的有效性.

This paper focuses on the problem of observer design for a class of linear switched systems. By constructing appropriate Lyapunov functions and using matrix inequalities, conditions of the exponential con vergence of the estimated state observer are obtained. rthermore, by using state jump at certain time when the change of value of the switched law occurs and specifying the vMue of the state jump, the system per mance is improved. It is shown that the convergence rate of the estimation error can be reduced significantly. Simulation results are given to show validity of the state observer.