Robustness of discrete-time adaptive controllers: an input-output approach

Author

Datta, Aniruddha

Author_Institution

Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA

Volume

38

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

1852

Lastpage

1857

Abstract

A general input-output approach that can be used for the design and analysis of robust discrete-time adaptive control schemes is presented. In particular, a model reference adaptive controller is considered. The design approach involves the use of the certainty equivalence principle to combine a robust control structure with a robust adaptive law. Using exponentially weighted I₂ norms and exploiting the properties of the adaptive law and the control structure, robust stability is established for the closed-loop adaptive control scheme

Keywords

control system analysis; control system synthesis; discrete time systems; model reference adaptive control systems; stability; MRAC; certainty equivalence principle; closed-loop adaptive control scheme; control analysis; control design; exponentially weighted I₂ norms; input-output approach; model reference adaptive controller; robust discrete-time adaptive control; robust stability; Adaptive control; Error correction; Intelligent control; Programmable control; Robust control; Robust stability; Robustness; Simultaneous localization and mapping; Stability analysis; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.250565

Filename

250565