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.
|Original language||English (US)|
|Number of pages||4|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - 1988|
|Event||Proceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA|
Duration: Dec 7 1988 → Dec 9 1988