基于T-S模糊模型的混沌系统鲁棒控制器设计  

Robust control of chaotic system based on T-S fuzzy model

作　　者：任俊生[1] 杨盐生[1] 

机构地区：[1]大连海事大学航海科技研究所,辽宁大连116026

出　　处：《系统工程与电子技术》2005年第3期474-478,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60474014);高等学校博士学科点专项科研基金(20020151005)资助课题

摘　　要：研究具有参数不确定混沌系统基于T S(Takagi Sugeno)模糊模型的鲁棒控制器设计。首先利用IF THEN模糊规则把不确定非线性系统的状态空间分成不同的区域,构建具有参数不确定性的T S模糊模型;然后提出使得系统在平衡点渐近稳定的鲁棒模糊控制器设计。该方法通过解一组线性矩阵不等式分别设计局部控制器,通过并行分布补偿的方法设计T S模糊系统的鲁棒控制器,渐近稳定性的条件更为宽松,能够有效降低鲁棒控制器设计的保守性。最后以Lorenz混沌系统为例,研究混沌系统的鲁棒控制器设计,仿真研究结果表明所设计的鲁棒控制器对参数不确定Lorenz混沌系统具有良好的控制效果。A novel robust controller design of chaotic system with parametric uncertainties is proposed based on T-S (Takagi-Sugeno) fuzzy model. Firstly, through the partitions of the state space of uncertain nonlinear system into different regions by fuzzy IF-THEN rules, T-S fuzzy model with parametric uncertainties is constructed. Secondly, a robust controller is established, which guarantees that T-S fuzzy model is asymptotically stable near the system's equilibrium. By solving a set of linear matrix inequalities (LMI), this approach obtains the local feedback gains. The parallelly distributed compensation scheme is used to design the robust controller for the T-S fuzzy system. The condition of asymptotical stability is more flexible, and the conservativeness of robust fuzzy controller design is reduced. Finally, with Lorenz chaotic system, simulation results demonstrate the effectiveness of the proposed robust fuzzy controller.

关 键 词：LORENZ混沌系统 鲁棒控制 T-S模糊模型 线性矩阵不等式 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]