Cascaded synchronization of two pendulums

Author

Loria, Antonio ; Nijmeijer, Henk ; Egeland, Olav

Author_Institution

Dept. of Eng. Cybern., NTNU, Trondheim, Norway

Volume

6

fYear

1998

fDate

21-26 Jun 1998

Firstpage

3751

Abstract

We consider two pendulums in open loop perturbed by sinusoidals where it is assumed that one can tune the oscillating frequency of one of the two systems. The synchronization goal is then to make the first pendulum to oscillate at the frequency of the second. The controller is a simple linear proportional feedback of the frequency error. The stability proof is based on the key observation that with this linear dynamic extension we can rearrange the “error” dynamics in a cascade structure. Then we invoke some results on stability analysis of cascade non-autonomous nonlinear systems in order to prove global uniform asymptotic stability

Keywords

asymptotic stability; cascade systems; dynamics; feedback; nonlinear systems; pendulums; synchronisation; asymptotic stability; cascade systems; dynamics; linear proportional feedback; nonlinear systems; oscillating frequency; pendulums; synchronization; Cybernetics; Error correction; Frequency synchronization; Linear feedback control systems; Nonlinear systems; Open loop systems; Proportional control; Stability analysis; Time varying systems; Torque control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.703345

Filename

703345