基于观测器的广义时滞系统鲁棒H_∞控制器设计  

Robust observer - based H_∞ controller design for singular time - delay systems

作　　者：杨帆[1] 张庆灵[1] 

机构地区：[1]东北大学系统科学研究所

出　　处：《黑龙江大学自然科学学报》2005年第4期514-516,共3页Journal of Natural Science of Heilongjiang University

基　　金：辽宁省普通高校学科带头人基金项目(124210)辽宁省科技厅基金资助项目(2001401041)

摘　　要：研究基于观测器的广义时滞系统鲁棒H∞控制器的设计问题．不确定性假设是时变非线性的但范数有界．首先,用带有广义约束的广义代数RICCATI不等式(GARI),给出所设计的控制器使得闭环广义时滞系统容许且传递函数H∞范数有界的充分条件;其次,通过广义时滞系统的受限等价变换,去掉广义约束,转化为线性矩阵不等式的可解性问题,并通过线性矩阵不等式的解, 给出了系统基于观测器的鲁棒H∞控制律的参数化表示．The problem of an observer - based robust H∞ controller design for singular time - delay system with norm - bounded and time - varying nonlinear is investigated. First, the sufficient condition is given by Generalized Algebraic Riccati Inequalities（GARI） with generalized constraints. The controller can make that closed- loop singular time -delay systems were admissible and satisfies H∞ performance. Secondly, these generalized constrains can be cancelled by restricted system equivalent transformation for the singular time -delay system, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solutions provide a parameterized representation of the observer - based robust H∞ control laws.

关 键 词：广义时滞系统 观测器 鲁棒H∞控制 线性矩阵不等式 RICCATI不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]