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针对一类存在输入时滞的非线性离散系统,研究其鲁棒镇定问题。假设输入时滞是时变的,其上下界已知,利用Lyapunov-Krasovskii泛函方法和Finsler引理,得到了鲁棒镇定控制器存在的时滞依赖充分条件。控制器参数可通过求解带有线性矩阵等式约束的线性矩阵不等式得到。数值例子说明了该方法的有效性。
Abstract：The problem of robust stabilization for a class of nonlinear discrete-time systems with input delay is studied, in which the input delay is assumed to be time-varying and both the lower and upper bounds of the time-varying delay are available.On the basis of a Lyapunov-Krasovskii functional method combined with Finsler's Lemma,a novel delay-dependent sufficient condition for the existence of a robust stabilization controller is derived.The controller parameters can be obtained by solving a linear matrix inequality with a linear matrix equality constraint.A numerical example is provided to illustrate the effectiveness of the proposed approach.
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基本信息:
中图分类号:TP13
引用信息:
[1]石桂银,何涛,陈燕,等.存在输入时滞的非线性离散系统的鲁棒镇定[J].南通大学学报(自然科学版),2009,8(04):10-14.
基金信息:
江苏省自然科学基金项目(BK2007061);; 江苏省高校“青蓝工程”资助项目;; 南通市应用研究计划(K2009035);; 南通大学博士科研启动基金项目(07B14);; 南通大学自然科学基金项目(08Z009)
2009-12-15
2009-12-15