Title :
Control of a thermoviscoelastic system
Author :
Burns, J.A. ; Cliff, E.M. ; Liu, Z.Y. ; Miller, R.E.
Author_Institution :
Interdisciplinary Center for Appl. Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
Abstract :
The authors consider the problem of controlling a thermoviscoelastic system. They assume that the elastic bar is composed of a Boltzmann material (i.e. it exhibits a fading memory behavior) and include the simplest thermodynamic model to investigate the effect of heat transfer on damping. A quadratic cost optimal control problem is formulated, and a finite-element/averaging scheme is used to solve the problem with and without thermal effects
Keywords :
damping; distributed parameter systems; finite element analysis; heat transfer; optimal control; thermoelasticity; viscoelasticity; Boltzmann material; damping; distributed parameter systems; elastic bar; fading memory behavior; finite-element/averaging scheme; heat transfer; quadratic cost optimal control; thermoviscoelastic system; Control systems; Cost function; Damping; Elasticity; Fading; Heat transfer; Hilbert space; Mathematics; Thermodynamics; Viscosity;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194521
