本文研究一类切换线性系统在异步切换下的镇定问题。由于控制器的切换信号中存在时滞使得控制器的切换和系统的切换出现了异步的情况。首先，提出了相邻模型依赖平均驻留时间的定义。然后，通过合并切换信号的方法和多Lyapunov函数方法，给出了相邻模型依赖平均驻留时间切换下整个切换系统稳定的充分条件和控制器设计。这些条件反映了系统的连续动态、切换时滞和平均驻留时间之间的关系。最后，通过例子验证了本文方法的有效性。%This paper addresses the stabilization problem of a class of switched linear systems. Due to the presence of switching delay in the switching signal of the controller, the switching of the controller and the of the system are turned out to be asynchronous. By combining switching signal method with the multiple Lyapunov function method, some sufficient conditions are provided to guarantee the stability of the whole switched system by an adjacent mode-dependent average dwell time scheme. These conditions imply the relationship among the continuous dynamics, switching delay, and the average dwell time. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
展开▼
