基于有限时间稳定的含不确定性离散切换系统控制

针对一类含有不确定性的离散时间切换系统,研究了该类切换系统的有限时间稳定性问题。通过构造类Lyapunov函数和利用线性矩阵不等式的方法,给出了在任意切换序列条件下,能够使含不确定性的离散时间切换系统满足有限时间稳定的一个充分条件,在所给定理的基础上,对于该类切换系统进行有限时间控制,给出了使其可保持有限时间稳定的切换状态反馈控制器设计方法。最后,通过一个数值算例仿真验证了所提出方法的有效性和可行性。

Finite timestability for discrete time switched system with uncertainty

In this paper, the finite time stability for a class of discrete time switched systems with uncertainty is considered. Firstly, under the arbitrary switching signals, a sufficient condition of the finite time stability which makes the discrete time switched system with uncertainty stability is given by constructed the Lyapunov like function and utilized the linear matrix inequalities methods. Second, based on the given theorem,the finite time control problem is considered, and the method of designing the switching state feedback controllers is given. Finally, a numerical example proves the effectiveness and feasibility of the proposed method.