线性切换系统的采样数据输出调节问题

本文基于采样控制,解决了线性切换系统的输出调节问题.首先考虑了外部输入信号是常数的情况,给出了采样周期与平均驻留时间的关系.通过构造一类Lyapunov-Krasovskii泛函,使得闭环系统内部稳定且调节输出趋于零.其次考虑了外部输入信号是导数有界且时变的情况,给出了采样数据状态反馈控制器,并依据采样周期和平均驻留时间关系给出的切换条件得到了切换系统实用输出调节问题可解的充分条件.最后通过两个数值例子验证了方法的有效性.

Sampled-data output regulation of switched systems

The output regulation problem of the linear switched systems by which based on the sampled-data control is solved in this paper. Firstly, the constant exogenous signals are considered. The relationship between the sampling period and the average dwell time is given. By constructing a class of Lyapunov-Krasovskii functional, the internal stability of the closed-loop system is guaranteed and the regulated output tends to zero, where the asynchronous switching problem is solved. Secondly, the time-varying exogenous signals with bounded derivative are considered. The switching signals satisfy the average dwell time which is also obtained based on the sampling period. By designing the sampled-data state feedback controller, the sufficient conditions are got for the solvability of the practical output regulation problem of the switched system, the asynchronous switching problem is correspondingly solved in this situation. Finally, two numerical examples are provided to verify the effectiveness of the proposed main methods.