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
Place of PublicationPiscataway, NJ, United States
PublisherPubl by IEEE
Pages3072-3077
Number of pages6
Volume4
ISBN (Print)0780312988
StatePublished - 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

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

Controllers
Polynomials
Observability
Controllability
Mathematical operators

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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 (Vol. 4, pp. 3072-3077). Piscataway, NJ, United States: Publ by IEEE.

Model reference adaptive and non-adaptive control of multivariable linear time-varying plants : the exact matching case. / Limanond, Suttipan; Tsakalis, Konstantinos.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 Piscataway, NJ, United States : Publ by IEEE, 1993. p. 3072-3077.

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

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. vol. 4, Publ by IEEE, Piscataway, NJ, United States, pp. 3072-3077, Proceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4), San Antonio, TX, USA, 12/15/93.
Limanond S, Tsakalis K. 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. Vol. 4. Piscataway, NJ, United States: Publ by IEEE. 1993. p. 3072-3077
Limanond, Suttipan ; Tsakalis, Konstantinos. / Model reference adaptive and non-adaptive control of multivariable linear time-varying plants : the exact matching case. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 Piscataway, NJ, United States : Publ by IEEE, 1993. pp. 3072-3077
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