具有馈通的不确定时滞系统的鲁棒H_∞控制(英文)

ROBUST H∞CONTROL FOR UNCERTAIN DELAY SYSTEMS WITH FEEDTHROUGH

研究具有馈通的不确定时滞系统的鲁棒Ｈ∞控制问题．首先证明了若一个由系数矩阵及一组正定矩阵构成的Ｒｉｃｃａｔｉ方程有正定解，则闭环系统有一个Ｈ∞控制器．然后基于这个Ｒｉｃｃａｔｉ方程的解及不确定性的分解条件给出了时滞系统鲁棒Ｈ∞控制器的设计方案．最后给出例子说明本文方法的有效性．

This paper is concerned with the problem of robust H∞control for uncertain delay systems with feedthrough. First, it is shown that, if a modified algebraic Riccati equation composed of coefficient matrices and a group of given positive definite matrices has a positive definite solution, then the closedloop system has a H∞controller. Second, a design approach for robust H∞controller for uncertain delay system is presented on basis of the solution of the Riccati equation and the decomposable conditions. Finally, an example is given to illustrate the validity of the proposed approach.