A discrete-time learning control algorithm for a class of linear time-invariant systems

Author

Saab, Samer S.

Author_Institution

Union Switch & Signal, Pittsburgh, PA, USA

Volume

40

Issue

6

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

1138

Lastpage

1142

Abstract

A discretized version of the D-type learning control algorithm is presented for a MIMO linear discrete-time system. A necessary and sufficient condition for uniform convergence of the proposed learning algorithm is presented. Then, we prove that the same condition is sufficient for the global robustness of the proposed learning algorithm to state disturbances, measurement noise at the output, and reinitialization error are present at each iteration. A numerical example is given to illustrate the results

Keywords

MIMO systems; discrete time systems; learning systems; multivariable control systems; robust control; stability criteria; D-type learning control algorithm; MIMO linear discrete-time system; discrete-time learning control algorithm; global robustness; iteration; linear time-invariant systems; measurement noise; necessary and sufficient condition; reinitialization error; state disturbances; uniform convergence; Control systems; Convergence; MIMO; Noise measurement; Noise robustness; Nonlinear control systems; Robust control; Sufficient conditions; Switches; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.388702

Filename

388702