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.
Recommended Citation
Wang, S. K. and Nagurka, Mark L., "Designing Linear Optimal Regulators Via Chebyshev Polynomials" (1993). Mechanical Engineering Faculty Research and Publications. 181.
https://epublications.marquette.edu/mechengin_fac/181
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.