Title :
Advanced feedback control of the chaotic Duffing equation
Author :
Jiang, Zhong-Ping
Author_Institution :
Dept. of Electr. & Comput. Eng., Polytech. Univ. Brooklyn, NY, USA
fDate :
2/1/2002 12:00:00 AM
Abstract :
Deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors
Keywords :
Lyapunov methods; adaptive control; chaos; nonlinear control systems; stability; state feedback; Lyapunov direct method; adaptive control; advanced feedback control; chaotic Duffing equation; chaotic dynamics; external control force; feedback controllers; forced equation; global stability; linear feedback strategy; nonlinear control; sensor errors; Adaptive control; Chaos; Chaotic communication; Control systems; Convergence; Feedback control; Force control; Linear feedback control systems; Nonlinear equations; Stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
