Title :
Adaptive boundary control for stochastic parabolic systems with unknown potential coefficient
Author :
Aihara, Shin Ichi
Author_Institution :
Dept. of Manage. and Syst. Sci., Sci. Univ. of Tokyo, Japan
Abstract :
An adaptive boundary control problem for a stochastic heat diffusion equation is studied. The system considered contains the unknown potential coefficient which is a function of the spatial variables. The estimation algorithm for the unknown potential coefficient is proposed by using the stochastic approximation technique. After showing the strong consistency of the estimated parameter, the cost for the adaptive control scheme presented here is shown to converge to the optimal ergodic cost. Finally some numerical examples are shown
Keywords :
adaptive control; approximation theory; distributed parameter systems; parameter estimation; stochastic systems; adaptive boundary control; convergence; estimation algorithm; optimal ergodic cost; potential coefficient; stochastic approximation; stochastic heat diffusion equation; stochastic parabolic systems; Adaptive control; Approximation algorithms; Control systems; Cost function; Equations; Parameter estimation; Programmable control; Stochastic processes; Stochastic systems; Temperature control;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411676
