Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems
Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems
复制标题
DOI：
10.1016/j.jfranklin.2009.04.001
复制
发表时间：
2009-09
期刊：
影响因子：
--
通讯作者：
Jinhui Zhang;P. Shi;J. Qiu
中科院分区：
文献类型：
--
作者：
Jinhui Zhang;P. Shi;J. Qiu
研究了一类不确定随机非线性时滞系统的非脆弱保成本控制问题。假设参数不确定性是时变的和范数有界的。时滞因子是未知的，时变的，有已知的界。本文的目的是设计一种无记忆的非脆弱状态反馈控制律，使闭环系统对所有允许的参数不确定性都在均方随机渐近稳定，并且闭环代价函数值不大于一个规定的上界。基于线性矩阵不等式（LMI）方法，给出了该类控制器存在的一个新的充分条件。然后，构造一个凸优化问题，选取使闭环代价函数上界最小的最优保代价控制器。数值算例说明了所开发技术的有效性。
This paper deals with the problem of non-fragile guaranteed cost control for a class of uncertain stochastic nonlinear time-delay systems. The parametric uncertainties are assumed to be time-varying and norm bounded. The time-delay factors are unknown and time-varying with known bounds. The aim of this paper is to design a memoryless non-fragile state feedback control law such that the closed-loop system is stochastically asymptotically stable in the mean square for all admissible parameter uncertainties and the closed-loop cost function value is not more than a specified upper bound. A new sufficient condition for the existence of such controllers is presented based on the linear matrix inequality (LMI) approach. Then, a convex optimization problem is formulated to select the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function. Numerical example is given to illustrate the effectiveness of the developed techniques.