一类时滞T-S模糊广义系统的无源控制

The Passivity Control for a Kind of T-S Fuzzy Descriptor Systems with Time-Delay

目的设计使一类时滞T-S模糊广义系统的严格无源控制的控制器.得到使闭环系统容许、严格无源的充分条件,并将此条件用线性矩阵不等式(LM I)表示.方法通过求解线性矩阵不等式,得到所设计的控制器.结果获得了使系统容许、严格无源的状态反馈控制器设计方法.结论通过所设计的控制器能够使时滞T-S模糊广义系统容许、严格无源,所给算例说明该方法简单、可行.

This paper is concerned with the problem of passivity control for a kind of T - S fuzzy descriptor system with time - delay. The sufficient conditions, which make the closed - loop system be admissible and strictly passive, are obtained for the system. The conditions are expressed as linear matrix inequalities （LMI）, so the feedback gain matrix can be obtained by solving the LMI. An illustrative example is given to show the validity and feasibility of the proposed approach.