离散多时滞系统的时滞相关鲁棒稳定性分析

Delay-dependent robust stability analysis for discrete-time systems with multiple delays

中文关键词  离散系统  时滞系统  凸多面体不确定性  参数依赖型Lyapunov泛函  时滞依赖准则

英文关键词  discrete-time systems  time-delay systems  polytopic-type uncertainties  parameter-dependent Lyapunov functionals  delay-dependent criteria

中文摘要

      研究了具有凸多面体不确定性的离散多时滞系统鲁棒稳定性问题．通过引入一种新的二次型的有限和不等式,采用参数依赖型Lyapunov泛函,导出了适用于具有凸多面体不确定性离散时滞系统的一个新的时滞相关稳定性条件．该方法不需要进行系统模型变换即可得到时滞相关的结果,和已有文献相比,所得结果具有更小的保守性．数值例子说明了该方法的有效性．

英文摘要

      The robust stability of discrete-time systems with polytopic-type uncertainties and multiple state delays is investigated in this paper. A new delay-dependent stability condition is derived by using a newly established inequality for the finite sum of quadratic terms and the parameter-dependent Lyapunov functionals. There is no need of model transformations in the proposed method and the obtained results are less conservative than some existing ones in the literature. Two numerical examples are also given to demonstrate the effectiveness of the proposed method.