Title :
Synchronization of nonlinear pendulum-like systems
Author :
Lu, Pingli ; Yang, Ying
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Peking Univ., Beijing, China
Abstract :
This paper deals with the chaos synchronization problem for a class of nonlinear pendulum-like systems with multiple equilibria. Based on the method of periodic Lyapunov functions, linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of both master and slave pendulum-like systems by feedback control technique. Finally, a concrete application to phase-locked loop (PLL) shows the applicability and validity of the proposed approach.
Keywords :
Lyapunov methods; feedback; linear matrix inequalities; nonlinear control systems; pendulums; periodic control; stability; LMI formulation; chaos synchronization problem; feedback control; linear matrix inequality; master-slave pendulum-like system; multiple equilibria; nonlinear pendulum-like system; periodic Lyapunov function; phase-locked loop; Chaotic communication; Chemicals; Concrete; Feedback control; Linear matrix inequalities; Lyapunov method; Master-slave; Nonlinear systems; Phase locked loops; Stability;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399995
