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

fYear

1989

fDate

13-15 Dec 1989

Firstpage

1438

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Conference_Location

Tampa, FL

Type

conf

DOI

10.1109/CDC.1989.70382

Filename

70382