Synchronization of nonlinear pendulum-like systems

Author

Lu, Pingli ; Yang, Ying

Author_Institution

Dept. of Mech. & Aerosp. Eng., Peking Univ., Beijing, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

4222

Lastpage

4227

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;

fLanguage

English

Publisher

ieee

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

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399995

Filename

5399995