Title :
Vibrational stabilization and transient behavior analysis of nonlinear parabolic systems with Neumann boundary conditions
Author :
Bentsman, Joseph ; Hong, Keum S.
Author_Institution :
Dept. of Mech, & Ind. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
Conditions for the existence of stabilizing vibrations are derived for a class of distributed-parameter systems governed by parabolic partial differential equations with Neumann boundary conditions. Guidelines for the choice of the vibration parameters that ensure stabilization are given. The transient behavior of vibrationally controlled systems is also studied. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector additive vibrations are given to support the theory
Keywords :
boundary-value problems; distributed parameter systems; nonlinear control systems; partial differential equations; stability; vibration control; Neumann boundary conditions; linear multiplicative vibrations; nonlinear parabolic systems; nonlinear systems; parabolic partial differential equations; stabilizing vibrations; transient behavior analysis; vector additive vibrations; Boundary conditions; Combustion; Control systems; Distributed parameter systems; Industrial engineering; Niobium compounds; Open loop systems; Partial differential equations; Transient analysis; Vibration control;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70382
