Abstract: This paper is concerned with the synchronous H _∞ switching control problem for a class of discretetime delay switched systems with time-varying delay under partially delay-dependent controller. Using the multiple Lyapunov function and the average dwell time method, the conditions for the average dwell time are satisfied. Under this switching condition, the system is mean square exponent stable and has weighted H _∞ performance. At the same time, the design of the H _∞ switching controller is given. Finally, a numerical example is used to illustrate the effectiveness of the proposed design method.

Key words: Partially delay-dependent controller, Multiple lyapunov function, Average dwell time, Weighted , l₂gain

摘要： 研究部分时滞依赖切换控制器下一类离散时滞切换系统H _∞ 同步切换控制问题。使用多Lyapunov 函数及平均驻留时间方法,给出平均驻留时间所满足的条件,在此切换条件下系统是均方指数稳定的且具有加权 H _∞ 性能,同时给出H ∞ 切换控制器的设计方案。最后,通过一个数值例子验证所提出设计方案的有效性。

关键词: 部分时滞依赖切换控制器, 多Lyapunov函数, 平均驻留时间, 加权l₂ 增益