Robust H infinity synchronization of chaotic Lur'e systems.
This paper is concerned with the robust H(infinity) synchronization problem for a class of chaotic Lur'e systems based on delayed feedback control. The master system is assumed to be subject to an energy bounded input noise. By employing an integral inequality, a delay-dependent condition is obtained under which the chaotic master and slave systems are robustly synchronized with a guaranteed H(infinity) performance. The design of a desired delayed feedback controller can be achieved by solving a linear matrix inequality, and the H(infinity) performance index can be optimized via a convex optimization algorithm. Chua's circuit is used as an example to demonstrate the effectiveness of the developed approach and the improvement over some existing results.
Huang
He
H
Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, People's Republic of China. hhuang@student.cityu.edu.hk
Feng
Gang
G
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*