教育论文发表

离散时变时滞系统的鲁棒稳定性新判据

 

New robust stability criterion for discrete-time system with time-varying delay

华长春^*， 吴双双

（  燕山大学 电气工程学院，河北省 秦皇岛市，066004；  ）

摘要： 针对具有非线性扰动的离散时变时滞系统的鲁棒稳定性问题, 本文利用离散Lyapunov函数方法，构造了一个适当的Lyapunov泛函，并借助本文提出的新型求和不等式，从而得到了所讨论系统的鲁棒稳定性新判据。所得结果是时滞相关的，以线性矩阵不等式的形式给出, 并通过 MATLAB的LMI工具箱求解。数值实例验证该结果具有较小的保守性，表明本文所获得的结果具有有效性和优越性。
关键词： 离散时滞系统；鲁棒稳定性；Lyapunov泛函；非线性扰动

HUA Changchun^*， WU Shuangshuang

（  College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004；  ）

Abstract： In this paper, the robust stability problem is considered for discrete-time systems with time-varying delay and nonlinear perturbation. Based on a proper Lyapunov-Krasovskii function and newly proposed summation inequality, a less conservative delay-dependent robust stability criterion is derived in terms of the linear matrix inequality, which could be solved by using LMI tools of MATLAB. Numerical examples are given to demonstrate the less conservativeness and advantages of the proposed method. 
Keywords： discrete systems with time-varying delay; robust stability; Lyapunov-Krasovskii function; nonlinear perturbation

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