A geometric approach to problems of synchronization of linear and nonlinear oscillations

Author

Miroshnik, Iliya ; Korolev, Sergey

Author_Institution

Lab. of Cybern. & Control Syst., State Inst. of Fine Mech. & Opt., St. Petersburg, Russia

Volume

1

fYear

1997

fDate

27-29 Aug 1997

Firstpage

58

Abstract

Conceptually different problems of oscillation synchronization for multivariable Lagrangian systems are analyzed from the geometric standpoint and synchronous behavior is associated with the system evolution along attracting sets. The approach proposed implies the use of coordinate transformation techniques, dynamic properties of orbital motion and task-oriented decoupling. To achieve local stability of the attractors and a desired mode of system averaged motion closed loop control laws are designed

Keywords

Jacobian matrices; MIMO systems; closed loop systems; control system synthesis; multivariable control systems; set theory; stability; synchronisation; attracting sets; averaged motion; closed loop control laws; coordinate transformation techniques; geometric approach; linear oscillations; local stability; multivariable Lagrangian systems; nonlinear oscillations; orbital motion; oscillation synchronization; synchronization; system evolution; task-oriented decoupling; Control systems; Cybernetics; Frequency synchronization; Laboratories; Lagrangian functions; Motion control; Nonlinear control systems; Optical control; Orbits; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-4247-X

Type

conf

DOI

10.1109/COC.1997.633476

Filename

633476