一类非线性不确定时滞系统的模糊跟踪控制

山东大学学报(工学版)

一类非线性不确定时滞系统的模糊跟踪控制

方炜, 姜长生, 钱承山

南京航空航天大学自动化学院,江苏南京210016

收稿日期:2007-09-29 修回日期:1900-01-01 出版日期:2007-10-24 发布日期:2007-10-24
通讯作者: 方炜

H_∞ fuzzy tracking control of a class of uncertain nonlinear systems with time-varying delay

FANG Wei;JIANG Chang-sheng;QIAN Cheng-shan

Department of Automatic Control Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

Received:2007-09-29 Revised:1900-01-01 Online:2007-10-24 Published:2007-10-24
Contact: FANG Wei

摘要/Abstract

摘要： 考虑了当系统存在不确定和外界干扰的情况下，一类非线性不确定时变时滞系统的H_∞跟踪控制的设计问题.首先利用T-S时滞模糊模型对非线性不确定时滞系统进行建模，在不确定性满足增益有界条件下，通过LMI(Linear Matrix Inequalities)方法的计算，即可得到基于模糊模型的模糊H_∞跟踪控制律.基于Lyapunov稳定原理，证明了在此控制律作用下，不仅保证了闭环系统稳定，而且满足H_∞跟踪性能指标.最后利用提出的控制方案设计了空天飞行器高超声速飞行纵向通道的控制系统，并进行了仿真验证.仿真结果表明了控制方案的有效性.

关键词: 非线性不确定时滞系统, T-S建模, 跟踪控制, LMI, 空天飞行器

Abstract: The design of robust H_∞ tracking control law of a class of uncertain time-varying delay nonlinear systems was presented. First, the T-S(Takagi-Sugeno) delay model was employed to represent an uncertain nonlinear system with time-varying delayed state. Based on the LMI(linear matrix inequality)method, the design of the fuzzy-model-based H_∞ tracking control law was given when the uncertain is gain bounded. Using Lyapunov theory, it has been proven that the proposed method could guarantee the stability of the closed-loop system and the H_∞ tracking performance. Finally, the longitude flight control system of an aerospace vehicle under a hypersonic condition is designed by the proposed method. Simulation results demonstrate the effectiveness of the method.

Key words: nonlinear uncertain delay system, T-S modeling, tracking control, LMI, aerospace craft

中图分类号:

V294.1

方炜, , 姜长生, , 钱承山 . 一类非线性不确定时滞系统的模糊跟踪控制[J]. 山东大学学报(工学版), 2007, 37(5): 47-52 .

FANG Wei,JIANG Chang-sheng,QIAN Cheng-shan . H_∞ fuzzy tracking control of a class of uncertain nonlinear systems with time-varying delay[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 47-52 .

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