不确定模糊Delta算子系统的鲁棒H_∞控制

Robust and H-infinity control for a class of fuzzy systems using Delta operator

研究了一类T-S模糊Delta算子系统的鲁棒H∞控制问题.首先利用LMI形式给出了模糊Delta算子系统鲁棒镇定的充分条件,然后构造了可使闭环系统鲁棒稳定且对可允许的参数变化满足H∞性能的状态反馈控制律.本文结果统一了连续与离散模糊系统的鲁棒H∞镇定设计结论,数值算例说明了方法的可行性.

A robust H-infinity control scheme is developed for a class of T-S fuzzy systems using the Delta operator. First, the sufficient conditions for robust stabilization is presented by using the linear matrix inequalities (LMIs). Then, a design method is proposed for the state feedback controller that guarantees the stability of the closed-loop system and satisfies the prescribed H-infinity performance for the tolerable variations of parameters. The results have unified the continuous-time and discrete-time fuzzy systems into the Delta operator framework. An illustrative example shows the feasibility of the proposed method.