Title :
A Novel Approach to Control Lorenz System
Author_Institution :
Southwest Univ. for Nationalities of China, Chengdu
Abstract :
This paper discusses the control problem of Lorenz system. Firstly, Lorenz system is represented as T-S fuzzy model. Then, an impulsive control law is introduced, and an impulsive control criterion is proposed by means of impulsive differential equation theory. The designed impulsive controller can exponentially stabilize the controlled Lorenz system.
Keywords :
chaos; control systems; differential equations; nonlinear systems; T-S fuzzy model; control Lorenz system; control problem; impulsive control criterion; impulsive control law; impulsive controller; impulsive differential equation theory; Asymptotic stability; Chaos; Control system synthesis; Control systems; Differential equations; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Symmetric matrices; Lorenz system; T-S fuzzy model; impulsive control;
Conference_Titel :
Communications, Circuits and Systems, 2007. ICCCAS 2007. International Conference on
Conference_Location :
Kokura
Print_ISBN :
978-1-4244-1473-4
DOI :
10.1109/ICCCAS.2007.4348232