Model reference adaptive and non-adaptive control of multivariable linear time-varying plants: the exact matching case

Suttipan Limanond, Konstantinos Tsakalis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we address the adaptive and non-adaptive model reference control problem for a class of linear time-varying plants, namely the index-invariant ones. We show that, under appropriate controllability and observability conditions, this class of plants admits a fractional description in terms of polynomial differential operators and, as such, allows for a polynomial equation-based controller design. We also show that, for a control objective of the model reference type, the controller can be designed by solving a set of algebraic equations. Further, in the case where the plant parameters are only partially known, we employ a gradient-based adaptive law with projection and normalization to update the controller parameters and establish the stability and tracking properties of adaptive closed-loop plant.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages3072-3077
Number of pages6
ISBN (Print)0780312988
StatePublished - Dec 1 1993
EventProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4) - San Antonio, TX, USA
Duration: Dec 15 1993Dec 17 1993

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume4
ISSN (Print)0191-2216

Other

OtherProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4)
CitySan Antonio, TX, USA
Period12/15/9312/17/93

    Fingerprint

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Limanond, S., & Tsakalis, K. (1993). Model reference adaptive and non-adaptive control of multivariable linear time-varying plants: the exact matching case. In Proceedings of the IEEE Conference on Decision and Control (pp. 3072-3077). (Proceedings of the IEEE Conference on Decision and Control; Vol. 4). Publ by IEEE.