不确定离散非线性系统的模糊控制  

A New Approach to Quadratic Stabilization of Discrete Uncertain Nonlinear System

作　　者：陈升[1] 蔡敏[2] 

机构地区：[1]辽宁铁道职业技术学院,辽宁锦州121001 [2]大连交通大学理学院,辽宁大连116028

出　　处：《大连交通大学学报》2008年第6期1-6,共6页Journal of Dalian Jiaotong University

基　　金：国家自然科学基金资助项目(60674056);国家重大基础研究规划资助项目(2002CB312200);辽宁省青年人才基金资助项目(2005219001)

摘　　要：针对状态不完全可测的一类不确定离散非线性系统,基于状态观测器研究其镇定问题.采用T-S模型对非线性系统进行建模,根据李雅普诺夫稳定性理论,采用线性矩阵不等式(LMI)的形式,利用分散化并行分布补偿(PDC)的方法和新条件,设计了基于观测器的控制器,给出了实现该非线性系统镇定的充分条件.并通过数值仿真对提出的方法进行了验证,仿真结果表明了该方法的正确性.For the quadratic stabilization problem of a class of discrete - time nonlinear system with parametric uncertainties, the problem of design an controller based on state observer is considered. The Takagi- Sugeno （ T- S） fuzzy model was adopted for fuzzy modeling of the sys- tem. According to Lyapunov stability theory, the scheme of decentralized PDC （ Parallel Distributed Compensation） fuzzy control was used to design controller based on a new approach in the form of LMI. Besides, the sufficient condition that ensures quadratic stabilization of the system was derived. The conclusion was tested by numerical simulation which proves the correctness of the conclusion.

关 键 词：T-S模型 线性矩阵不等式 并行分布补偿 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]