Finite-time robust passive control for a class of uncertain Lipschitz nonlinear systems with time-delays

被引：69
作者：
Song, Jun [1 ]
He, Shuping [1 ]
机构：
[1] Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Peoples R China
来源：
NEUROCOMPUTING | 2015年 / 159卷
基金：
中国国家自然科学基金;
关键词：
Lipschitz conditions; Uncertain nonlinear systems; Time delays; Finite-time boundedness (FTB); Robust passive controller; H-INFINITY CONTROL; SLIDING MODE CONTROL; STOCHASTIC-SYSTEMS; SWITCHED SYSTEMS; NEURAL-NETWORKS; LINEAR-SYSTEMS; JUMP SYSTEMS; OBSERVER; SUBJECT; STABILITY;
D O I：
10.1016/j.neucom.2015.01.038
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The finite-time passive control for a class of nonlinear uncertain systems with time-delays and uncertainties is studied. The nonlinear parameters are satisfied Lipschitz conditions. An optimal robust passive controller with respect to the finite-time interval is designed while the exogenous disturbances are unknown but energy bounded. Based on passive control theory, the sufficient condition for the existence of finite-time robust passive controller is given. This condition such that the resulting closed-loop system is finite-time boundedness (FIB) for all admissible uncertainties and satisfies the given passive control index. By using the constructed Lyapunov function, and applying linear matrix inequalities techniques (LMIs), the design method of the finite-time optimal passive controller is derived and can be obtained. Simulation results demonstrate the validity of the proposed approach. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：275 / 281
页数：7
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