提出了离散时间线性切换系统的事件发生器和混杂控制器的联合设计问题, 利用分段Lyapunov函数方法和平均驻留时间技术分析了离散时间线性切换系统指数稳定性, 并通过线性矩阵不等式建立了事件发生器和混杂控制器共同存在的充分条件. 结果扩展到了自触发控制技术, 即下一次控制律的刷新是由当前触发时刻系统状态决定的. 最后, 通过仿真说明了结果的可行性和有效性.

The co-design problem of event generator and hybrid controller for discrete-time linear switched systems is proposed. By using piecewise Lyapunov function and the average dwell time method, we investigate the exponential stability of switched systems. A sufficient condition on the existence of the hybrid control law and the event generator is established via linear matrix inequalities. The result is extended to the self-triggered control technology, whose controller updates depending on the system state at the current triggered instant. Finally, simulation result illustrates the feasibility and efficiency of the proposed method.