不确定关联大系统分散鲁棒H∞输出反馈控制

针对一类状态矩阵和控制矩阵存在参数不确定性关联大系统,研究其分散鲁棒H∞输出反馈控制问题.基于有界实引理将其鲁棒分散H∞动态输出反馈控制器的解归结为一个非线性矩阵不等式(NLMI),先通过选取适当的同伦函数来表示该非线性矩阵不等式,再通过Schur补引理将其化为两个双线性矩阵不等式,最后通过迭代算法求解该控制器,使闭环大系统鲁棒渐进稳定,并且满足给定的H∞性能指标.

Decentralized robust H-infinity output feedback control for uncertain interconnected large-scale systems

The decentralized robust H-infinity output feedback control problem for interconnected large-scale systems with uncertainty in state and control matrices is considered in this paper.A design method based on the bounded real lemma is developed for a dynamic output feedback controller,which is reduced to a feasibility problem for a nonlinear matrix inequality(NLMI).Firstly,in order to solve the NLMI,a homotopy function is selected to express the NLMI.Then the NLMI is reduced to two bilinear matrix inequalities by applying Schur complement lemma.Finally,the controller is determined iteratively by homotopy method,which enables the closed-loop large-scale system to be robustly asymptotically stable and to satisfy the given H-infinity performance.