一类切换系统的异步时滞动态反馈指数镇定

Exponential Stabilization of Asynchronous Time-delay Dynamic Feedback for a Class of Switched Systems

本文研究了一类切换系统在异步动态状态时滞反馈控制器下的指数镇定问题.文中通过将平均驻留时间方法和自由权矩阵技术相结合,得到了满足异步平均驻留时间条件指数镇定的充分条件,使闭环系统在异步切换下达到指数稳定.最后,用一个数值例子验证所提出方法的有效性.

In this paper , the exponential stabilization problem for a class of switched linear system with asynchronous dynamic state time-delay feedback controllers was studied .By combining average dwell time method and the free weighting matrix technique , sufficient conditions were derived to guarantee the exponential stabilization satisfying the asynchronous average dwell time condition such that the corresponding closed -loop system was exponentially stable under asynchronous switching in this paper .Finally, a numerical example was presented to prove the effectiveness of the developed results .