Title

Designing Linear Optimal Regulators Via Chebyshev Polynomials

Document Type

Article

Language

eng

Publication Date

6-2-1993

Publisher

Institute of Electrical and Electronic Engineers (IEEE)

Source Publication

1993 American Control Conference

Source ISSN

0780308603

Abstract

A method based on shifted Chebyshev polynomials is presented for determining the optimal state feedback gains of deterministic linear optimal regulators. The method is applicable to time-varying linear optimal regulator problems with terminal state weighting and involves only matrix operations. An advantage of the approach is that truncation errors associated with using finite term shifted Chebyshev series can be estimated directly. Two examples demonstrate the effectiveness of the proposed method.

Comments

Published as a part of 1993 American Control Conference, (June 2-4, 1993): DOI.

Mark L. Nagurka was affiliated with Carnegie Mellon University at the time of publication.

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