Estimation and adaptive control in the presence of mean square bounded disturbances

Author

Gusev, Sergei V.

Author_Institution

Dept. of Math. & Mech., St. Petersburg Univ., Russia

Volume

3

fYear

1994

fDate

29 June-1 July 1994

Firstpage

2972

Abstract

The estimation and adaptive control problems with the new class of disturbances are considered. It is assumed that disturbances are bounded in mean square and are arbitrary in other respects. It is shown that least squares estimates may diverge in closed-loop adaptive control systems under the action of disturbances from this class. The recursive estimation algorithm is proposed which converges under the action of mean square bounded disturbances. This algorithm is used to construct adaptive optimal control for nonlinear and non-stationary discrete-time plant.

Keywords

adaptive control; closed loop systems; discrete time systems; least squares approximations; nonlinear control systems; optimal control; recursive estimation; closed-loop adaptive control system; least squares estimates; mean square bounded disturbances; nonlinear nonstationary discrete-time plant; optimal control; recursive estimation algorithm; Adaptive control; Control systems; Convergence; H infinity control; Least squares approximation; Least squares methods; Mathematics; Open loop systems; Stochastic processes; Stochastic resonance;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.735116

Filename

735116