Technical communique: Improved stability criterion and its applications in delayed controller design for discrete-time systems
Technical communique: Improved stability criterion and its applications in delayed controller design for discrete-time systems
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DOI：
10.1016/j.automatica.2008.04.017
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发表时间：
2008-11
期刊：
影响因子：
6.4
通讯作者：
Baoyong Zhang;Shengyuan Xu;Y. Zou
中科院分区：
文献类型：
--
作者：
Baoyong Zhang;Shengyuan Xu;Y. Zou
本文研究了类区间时变时滞离散系统的时滞相关稳定性分析问题和离散线性系统的时滞控制器镇定问题。利用一种新的Lyapunov泛函解决了第一个问题，并利用线性矩阵不等式得到了一个改进的时滞相关稳定性判据。在此基础上，给出了第二问题可解的一个充分条件。通过一个数值算例证明了所提稳定性结果的保守性降低，并通过一个倒立摆系统验证了时滞控制器设计方法的适用性。
This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays and the problem of stabilization for discrete-time linear systems via time-delayed controllers. The first problem is solved by applying a novel Lyapunov functional, and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality. Based on this, a sufficient condition for the solvability of the second problem is presented. The reduced conservatism of the proposed stability result is shown through a numerical example, while the applicability of the time-delayed controller design method is demonstrated by an inverted pendulum system.