不确定多时滞系统非脆弱鲁棒保代价控制

non-fragile Robust guaranteed cost control for Linear multiple time-Delay Systems with uncertainties

针对一类含有多时滞的不确定线性系统,在控制器增益存在乘性和加性两种摄动形式时分别设计了非脆弱具有鲁棒性能的保代价控制器,利用构造的Lyapunov函数和线性矩阵不等式,证明并给出了非脆弱鲁棒保代价状态反馈控制问题有解的充分条件,仅通过求解相应的线性矩阵不等式就可得到非脆弱鲁棒保代价控制器.所设计的控制器不仅使闭环系统具有鲁棒性,能满足所给的的鲁棒保代价性能指标,而且当控制器增益参数变化时,系统性能指标同样能够满足要求.该系统对环境参数的变化具有更好的适应能力.

The non-fragile robust guaranteed cost eontrolter was designed for a class of uncertain linear systems with multiple timedelay under muhiplicative and additive perturbations of controller gain, A sufficient condition for the solvability of the non-fragile robust guaranteed cost control via state feedback was proved and presented by appropriate Lyapunov function and linear matrix inequal- ities, Non-fragile robust guaranteed cost controller can be obtained only by solving linear matrix inequalities .The systems under action of the given controller are not only robust but also satisfy guaranteed cost performance ,moreover , also satisfy proper performance when controller changes, and thus have better adaptability against variety of the environment parameters.