一类非线性不确定时滞系统的模糊跟踪控制  

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

作　　者：方炜[1] 姜长生[1] 钱承山[1] 

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016

出　　处：《山东大学学报（工学版）》2007年第5期47-52,107,共7页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(编号:90405011)~~

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.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 inequahty）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-lcop 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.

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 

分 类 号：V294.1[航空宇航科学技术] TP293.2[自动化与计算机技术—检测技术与自动化装置]