Nonfragile Robust Finite-Time L2-L∞ Controller Design for a Class of Uncertain Lipschitz Nonlinear Systems with Time-Delays

被引:9
作者
Song, Jun [1 ]
He, Shuping [1 ]
机构
[1] Anhui Univ, Coll Elect Engn & Automat, Hefei 230601, Peoples R China
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL; LINEAR-SYSTEMS; FILTER DESIGN; STABILITY; STABILIZATION; SUBJECT; STATE;
D O I
10.1155/2013/265473
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The nonfragile robust finite-time L-2-L-infinity control problem for a class of nonlinear uncertain systems with uncertainties and time-delays is considered. The nonlinear parameters are considered to satisfy the Lipschitz conditions and the exogenous disturbances are unknown but energy bounded. By using the Lyapunov function approach, the sufficient condition for the existence of nonfragile robust finite-time L-2-L-infinity controller is given in terms of linear matrix inequalities (LMIs). The finite-time controller is designed such that the resulting closed-loop system is finite-time bounded for all admissible uncertainties and satisfies the given L-2-L-infinity control index. Simulation results illustrate the validity of the proposed approach.
引用
收藏
页数:9
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