Title :
A Novel Linear Feedback Control Approach of Lorenz Chaotic System
Author :
Qiao Zongmin ; Cheng Jiaxing
Author_Institution :
Key Lab. of Intell. Comput. & Signal Process., Anhui Univ., Hefei
fDate :
Nov. 28 2006-Dec. 1 2006
Abstract :
In chaos control fields, the nonfeedback and the nonlinear feedback approaches are inevitable much less flexible. However linear feedback controllers are easy to implement, especially in electrical systems. In this paper, based on linear feedback control strategy and Lyapunov stability theory, some effective linear feedback controllers of variable states are given which can realize the control purposes of unstable equilibriums by a dislocated adaptive control of variables x and y. A numerical example is given to illuminate the design procedure and advantage of the results derived. It is noted that in principle, the dislocated adaptive control approaches developed in this paper can be applied to general smooth chaotic systems satisfying some mild required properties such as Chen system, lu system, etc.
Keywords :
Lyapunov methods; adaptive control; chaos; control system synthesis; feedback; nonlinear control systems; Chen system; Lorenz chaotic system; Lyapunov stability theory; design procedure; dislocated adaptive control; electrical systems; linear feedback control approach; lu system; nonfeedback; nonlinear feedback approaches; Adaptive control; Automatic control; Chaos; Competitive intelligence; Control systems; Electric variables control; Feedback control; Laboratories; Linear feedback control systems; Orbits;
Conference_Titel :
Computational Intelligence for Modelling, Control and Automation, 2006 and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, International Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7695-2731-0
DOI :
10.1109/CIMCA.2006.23