离散互联模糊系统的分散控制及稳定性条件

摘要

A new decentralized fuzzy control approach is proposed in this paper for a class of discrete-time interconnected fuzzy systems. The sufficient conditions for guaranteeing the stability of the fuzzy control system are given, and the stability of the fuzzy control system is proved by using the Lyapunov function method and linear matrix inequalities theory. The proposed decentralized fuzzy control approach and stabilization conditions can overcome the conservation in the existing fuzzy decentralized methods. The computer simulation results confirm the correction of the propose theory and the effectiveness of the proposed method.%本文针对一类离散互联模糊系统,提出了一种新的模糊分散控制器的设计方法,给出了控制系统稳定的充分条件,应用Lyapunov函数法和线性矩阵不等式理论证明了模糊分散控制系统的稳定性.所提出的模糊分散控制方法和稳定性条件克服了已有模糊分散控制算法的保守性.仿真结果进一步验证了所提的模糊分散控制理论的正确性和方法的有效性.