基于T-S模糊模型一类不确定非线性系统的H∞模糊鲁棒跟踪控制

基于T-S模糊模型一类不确定非线性系统的H_∞模糊鲁棒跟踪控制

王玉惠, 吴庆宪, 姜长生, 黄国勇

南京航空航天大学自动化学院, 南京 210016

收稿日期:2006-08-08 修回日期:1900-01-01 出版日期:2007-05-26 发布日期:2007-05-26
通讯作者: 吴庆宪

H_∞ Fuzzy Robust Tracking Control for a Class of Uncertain Nonlinear Systems Based on T-S Fuzzy Model

WANG Yuhui, WU Qingxian, JIANG Changsheng, HUANG Guoyong

College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2006-08-08 Revised:1900-01-01 Online:2007-05-26 Published:2007-05-26
Contact: WU Qingxian

摘要/Abstract

摘要： 研究一类不确定非线性系统模糊鲁棒跟踪控制的设计. 基于存在外界干扰的不确定非线性系统的T-S模糊模型, 考察被控系统跟踪参考信号的误差, 得出跟踪误差指数稳定的约束条件, 在跟踪控制与镇定控制一致的前提下研究了H_∞模糊鲁棒跟踪控制器的设计问题, 基于Matlab的LMI和FLC工具可实现对此问题求解. 仿真实例验证了算法的有效性.

关键词: T-S模糊模型, 不确定非线性系统, 跟踪控制, H_∞指标

Abstract: This paper deals with the design problem of fuzzy robust tracking control for a class of uncertain nonlinear systems. The uncertain no nlinear systems descriptor based on T-S fuzzy model with external disturbance was considered, the tracking error of the controlled system following the reference signal was studied, and the constraint conditions of the tracking error’s exponential stability were obtained. Under the coherence of tracking control and stabilization control, the design techniques of H_∞fuzzy robust tracking controller were studied, which can be solved by using LMI and FLC tools of Matlab.The simulation results demonstrate the effectivity of the proposed method.

Key words: T-S fuzzy model, uncertain nonlinear systems, tracki ng control, H_∞ index

中图分类号:

TP273

王玉惠, 吴庆宪, 姜长生, 黄国勇. 基于T-S模糊模型一类不确定非线性系统的H_∞模糊鲁棒跟踪控制[J]. J4, 2007, 45(03): 405-410.

WANG Yuhui, WU Qingxian, JIANG Changsheng, HUANG Guoyong. H_∞ Fuzzy Robust Tracking Control for a Class of Uncertain Nonlinear Systems Based on T-S Fuzzy Model[J]. J4, 2007, 45(03): 405-410.

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