Designing linear optimal regulators via Chebyshev polynomials

S. K. Wang, M. L. Nagurka

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations


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.

Original languageEnglish
Title of host publicationAmerican Control Conference
PublisherPubl by IEEE
Number of pages5
ISBN (Print)0780308611, 9780780308619
StatePublished - 1 Jan 1993
Externally publishedYes
EventProceedings of the 1993 American Control Conference - San Francisco, CA, USA
Duration: 2 Jun 19934 Jun 1993

Publication series

NameAmerican Control Conference


ConferenceProceedings of the 1993 American Control Conference
CitySan Francisco, CA, USA


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