Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants

Suttipan Limanond, Konstantinos Tsakalis

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

Abstract

In this paper we address the adaptive and non-adaptive 'pole-placement' control problem for a class of index-invariant linear time-varying multivariable plants. We show that, in the case where the plant parameters are completely known, a 'pole-placement'-like control algorithm can be designed by solving a time-varying Diophantine equation. Further, we show that the tracking performance of such a controller can be improved by incorporating the internal model principle into the design. In the case where the plant parameters are only partially known, we employ a gradient-based adaptive law with projection and normalization to estimate the plant parameters on-line and then design the controller based on these parameter estimates and establish the stability properties of the adaptive closed-loop plant.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherAmerican Automatic Control Council
Pages455-459
Number of pages5
Volume1
StatePublished - 1994
EventProceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA
Duration: Jun 29 1994Jul 1 1994

Other

OtherProceedings of the 1994 American Control Conference. Part 1 (of 3)
CityBaltimore, MD, USA
Period6/29/947/1/94

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Limanond, S., & Tsakalis, K. (1994). Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants. In Proceedings of the American Control Conference (Vol. 1, pp. 455-459). American Automatic Control Council.

Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants. / Limanond, Suttipan; Tsakalis, Konstantinos.

Proceedings of the American Control Conference. Vol. 1 American Automatic Control Council, 1994. p. 455-459.

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

Limanond, S & Tsakalis, K 1994, Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants. in Proceedings of the American Control Conference. vol. 1, American Automatic Control Council, pp. 455-459, Proceedings of the 1994 American Control Conference. Part 1 (of 3), Baltimore, MD, USA, 6/29/94.
Limanond S, Tsakalis K. Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants. In Proceedings of the American Control Conference. Vol. 1. American Automatic Control Council. 1994. p. 455-459
Limanond, Suttipan ; Tsakalis, Konstantinos. / Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants. Proceedings of the American Control Conference. Vol. 1 American Automatic Control Council, 1994. pp. 455-459
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