离散广义T-S模糊系统H_∞控制

H_∞ Control for Discrete Singular T- S Fuzzy Systems

研究一类离散广义T-S模糊控制系统的H∞控制器设计问题。首先,通过广义描述符方法,把离散广义T-S模糊控制系统整理为一个扩张的广义模糊系统,然后利用线性矩阵不等式(LMI)变换技术来完成离散广义T-S模糊系统H∞控制设计,给出了基于LMI的控制器设计条件以确保控制系统具有指定的H∞性能指标,在这些条件中对于增加的松弛矩阵变量的结构保守性更小。最后,一个具体的数值实例显示了所提出结果的有效性和较小的保守性。

The problem of a class of discrete - time singular T - S fuzzy systems H∞ controller design is studied. First, based on the de- scriptor representation approach, the discrete - time singular T - S fuzzy system can be regulated as an expanded singular T - S fuzzy systems. Then, by using LMI transformation techniques, the discrete singular T - S fuzzy control system design problem is achieved. And, the corresponding LMI - based conditions are given under which the prescribed H∞ performance level can guaranteed for the T - S fuzzy control system. In the conditions, the increasing structural relaxation matrix variable becomes less conservative, and therefore much more relaxed. Final, the effectiveness as well as less conservatism of the results have been illustrated via specific numerical exam- pies.