不确定时滞系统的时滞依赖鲁棒非脆弱H_∞控制

Delay-dependent robust and non-fragile H∞, control for linear time-delay systems with uncertainties

基于线性矩阵不等式(LMI)方法,研究了不确定时滞线性系统的鲁棒非脆弱H_∞状态反馈控制器的设计问题,以一个LMI形式给出了控制器存在的充分条件,而且该LMI是与时滞相关的。同时,经过全等变换、变量变换和Schur补引理,该LMI的所有参数都是线性的,这样参数无需预取就可以利用LMI Toolbox获得解。实例表明了上述设计方法的有效性。

The problem of robust and non-fragile H^ control is addressed via state feedback for linear time-delay systems with norm-bounded parameter uncertainties based on a method of linear matrix inequality (LMI). The sufficient condition for the solutions to the problem is presented in terms of one LMI, which depends on the size of delay. Also, through congruence transformations, change of variables and Schur complements, all parameters of the LMI are linear. The solutions can be readily obtained using existing LMI Toolbox without pre-selecting any parameter. A numerical example is provided to demonstrate the validity of the proposed design approach.