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

Volume

4

fYear

1994

Firstpage

3432

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CDC.1994.411676

Filename

411676