Title :
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
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;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633476
