Robust stability of a class of nonlinear oscillators

Author

Solís-Perales, G. ; Femat, R. ; Ruíz-Velázquez, E.

Author_Institution

Fac. Ingenieria, Univ. Autonoma de San Luis Potosi, Mexico

fYear

2001

fDate

2001

Firstpage

778

Lastpage

782

Abstract

Robust analysis of a class of synchronized second order driven oscillators is studied in this work. A dynamical system is constructed from the synchronization error. Such system is stabilized around origin via PI-controller. The goals are: (i) To show that synchronization is locally robustly stable and (ii) There exists a control parameter such that synchronization remains against uncertainties. Since the synchronization problem is solved from stabilization of synchronization error at origin, results provide a quantitative measure of robustness margins, via ℋ_∞-norm

Keywords

H^∞ control; nonlinear control systems; oscillators; robust control; stability; two-term control; ℋ_∞-norm; PI-controller; abstract robust analysis; control parameter; dynamical system; nonlinear oscillators; robust stability; synchronization error; synchronized second order driven oscillators; Chaos; Control systems; Error correction; Feedback; Master-slave; Noise robustness; Oscillators; Robust control; Robust stability; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2001. (CCA '01). Proceedings of the 2001 IEEE International Conference on

Conference_Location

Mexico City

Print_ISBN

0-7803-6733-2

Type

conf

DOI

10.1109/CCA.2001.973963

Filename

973963