On adaptive boundary control for stochastic parabolic systems with unknown potential coefficient

Author

Aihara, Shin Ichi

Author_Institution

Dept. of Manage. & Syst. Sci., Sci. Univ. of Tokyo, Japan

Volume

42

Issue

3

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

350

Lastpage

363

Abstract

An adaptive boundary control problem for a stochastic heat diffusion equation is studied. The considered system contains an 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; boundary-value problems; diffusion; distributed parameter systems; heat transfer; parameter estimation; stochastic systems; uncertain systems; adaptive boundary control; convergence; optimal ergodic cost; stochastic approximation technique; stochastic heat diffusion equation; stochastic parabolic systems; unknown potential coefficient; Adaptive control; Approximation algorithms; Control systems; Cost function; Equations; Parameter estimation; Programmable control; Stochastic processes; Stochastic systems; Temperature control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.557578

Filename

557578