Title :
Adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback
Author :
Yazdanpanah, A. ; Khaki-Sedigh, A.
Author_Institution :
Electr. Eng. Dept., K.N. Toosi Univ. of Technol., Tehran, Iran
Abstract :
A new approach to adaptive control of chaos in non-linear discrete time systems with delayed state feedback is presented. In the case of unknown or time varying chaotic plants, the Lyapunov exponents may vary during the plant operation. In this paper, Lyapunov exponents are used to select the controller gain. An effective adaptive strategy for on-line identification of Lyapunov exponents is proposed. Simulation results are provided to show the effectiveness of the proposed methodology.
Keywords :
Lyapunov methods; adaptive control; chaos; discrete time systems; identification; nonlinear control systems; state feedback; time-varying systems; Lyapunov exponent; adaptive control; chaos; controller gain; nonlinear discrete-time system; on-line identification; time varying chaotic plant; time-delayed state feedback; Adaptive control; Chaos; Closed loop systems; Control systems; Delay effects; Discrete time systems; Orbits; Programmable control; Stability analysis; State feedback;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514120