Regularization and Stabilization for Rectangular T–S Fuzzy Discrete-Time Systems With Time Delay
研究了带时滞的矩形离散时间模糊系统的正则化与镇定问题,设计了动态补偿器使闭环系统成为方形,并给出了存在性充要条件及基于双线性矩阵不等式的可容许性充分条件,附有收敛算法和算例验证。
This paper is concerned with the regularization and stabilization problems for rectangular discrete-time fuzzy systems with time delay. A dynamic compensation is designed to ensure that the close-loop system is square, and a necessary and sufficient condition is proposed to guarantee the existence of a dynamic compensation with which the close-loop system is regular and causal. Moreover, sufficient conditions are derived in terms of bilinear matrix inequalities to guarantee the admissibility of the closed-loop system. We present an efficient algorithm which is proved to be convergent to solve the conditions. Two examples are given to show the effectiveness and efficiency of the proposed method.