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不确定离散时滞系统的鲁棒方差约束控制
引用本文:刘子剑.不确定离散时滞系统的鲁棒方差约束控制[J].常熟理工学院学报,2009,23(10):74-79.
作者姓名:刘子剑
作者单位:上海交通大学,自动化系,上海,200240
摘    要:研究时滞系统的鲁棒方差约束控制问题.针对带有不确定参数和白噪声干扰的离散时滞系统,设计一类反馈控制器,使通过反馈控制所得到的闭环系统不仅一致渐进稳定,而且系统各状态分量的稳态方差在给定约束范围之内.利用线性矩阵不等式的方法,得出了满足这一反馈控制器的充分条件.给出了一个数值算例,验证了所提出算法的有效性.

关 键 词:线性离散系统  参数不确定性  鲁棒控制  方差约束

Robust Variance Control for Discrete Time-delay Systems with Uncertainty
LIU Zi-jian.Robust Variance Control for Discrete Time-delay Systems with Uncertainty[J].Journal of Changshu Institute of Technology,2009,23(10):74-79.
Authors:LIU Zi-jian
Institution:LIU Zi-jian (Department of Automation, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai 200240, China)
Abstract:This paper deals with the problem of robust variance control design for a class of uncertain discrete time-delay systems. The system under consideration involves state time delay, parameter uncertainties and white noise disturbances. The purpose of this problem is to design a static state feedback controller so that not only is the resulting closed-loop system is asymptotically stable, but the steady-state variance of each state is not morn than the individual pre-speeified value simultaneously. Using the linear matrix inequality approach in this paper, the existence conditions of such controllers are derived. Furthermore, a numerical example is given to illustrate the effectiveness of the proposed approach.
Keywords:linear discrete systems  parametric uncertainty  robust control  variance constraints
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