【摘要】 针对一类不确定分布式时滞系统的鲁棒H∞控制问题,采用线性矩阵不等式的方法通过选择适当的lyapunov函数,得到了自治系统的鲁棒渐进稳定的充分条件。推导出了闭环系统鲁棒渐近稳定的充分条件,并设计了无记忆性H∞状态反馈控制器,使得对于所有允许的不确定性,闭环系统鲁棒渐近稳定且具有给定的H∞性能指标。给出了控制器存在时滞相关的充分条件,且控制器参数能够通过求解线性矩阵不等式得到,对于一个高阶的数值仿真系统,通过对线性矩阵不等式的求解可以得到最优H∞性能指标,及相应不等式的解。仿真证明了该设计方案的有效性。更多还原

【Abstract】 The problem of robust H_∞ controller design for a class of uncertain systems with distributed delay is investigated.The distributed delay is assumed to appear in both the state and controlled output equations.The problem addressed is to design an H_∞controller,such that for all admissible uncertainties,the closed-loop system is robustly asymptotically stable and satisfies a prescribed H_∞performance.A sufficient delay-dependent condition is presented to guarantee the existence of desired controller,which can be constructed by solving a linear matrix inequality(LMI).By solving a high order numerical system we can get the optimal H_∞performance and the result of the LMI.The effectiveness of the proposed design method is demonstrated by a numerical example.更多还原