一类离散非线性时滞互联系统的模糊分散控制  

Fuzzy Decentralized Control for Discrete Nonlinear Interconnected Systems with Time-delay

作　　者：佟绍成[1] 王巍[1] 徐进学[2] 

机构地区：[1]辽宁工学院数理系,锦州121001 [2]大连海事大学自动化与电气工程学院,大连116026

出　　处：《工程数学学报》2007年第2期191-203,共13页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(60674056);辽宁省优秀青年人才基金(2005219001).

摘　　要：本文对一类离散非线性互联时滞系统,给出了模糊分散状态反馈和基于观测器的分散输出反馈模糊控制方法。设计中,首先采用模糊T-S模型对非线性互联时滞系统进行模糊建模,在此基础上,给出模糊分散状态反馈和基于观测器的模糊分散控制的设计。应用Lyapunov函数方法和线性矩阵不等式方法给出和证明了模糊分散控制系统稳定的充分条件。仿真结果进一步验证了所提出的模糊分散控制方法的有效性。Developed in this paper are fuzzy decentralized state feedback and observer-based decentralized output feedback controllers for a class of discrete nonlinear interconnected systems with time-delay. First, an equivalent T-S fuzzy model is represented for the nonlinear interconnected system with time-delay, then fuzzy state feedback controller and observer-based fuzzy decentralized controllers are designed. The sufficient conditions for the stability of the fuzzy decentralized system with timedelay are proposed by utilizing the Lyapunov function and linear matrix inequalities （LMIs）. Finally, a simulation example illustrates the effectiveness of the proposed methods.

关 键 词：非线性时滞互联系统 模糊分散控制 线性矩阵不等式 稳定性分析 

分 类 号：O231[理学—运筹学与控制论] TB114.2[理学—数学]