Title :
Some problems with thermostat nonlinearities
Author :
Seidman, Thomas I.
Author_Institution :
Dept. of Math. & Stat., Maryland Univ., Baltimore, MD, USA
Abstract :
A thermostat nonlinearity provides the simplest form of history-dependent discontinuity in feedback control. The author considers a class of distributed parameter control problems with feedback involving a thermostat whose time-dependent setting is taken as a control to be optimized. Existence of an optimal control for each (known) input is shown, and a formulation is presented of the problem with a stochastically modeled input
Keywords :
control nonlinearities; distributed parameter systems; feedback; optimal control; temperature control; control nonlinearities; distributed parameter control; distributed parameter systems; feedback control; history-dependent discontinuity; optimal control; temperature control; thermostat nonlinearities; time-dependent setting; Boundary conditions; Distributed control; Feedback control; Furnaces; Mathematics; Optimal control; Statistical distributions; Stochastic processes; Thermostats; Uncertainty;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194523
