Designing Linear Optimal Regulators Via Chebyshev Polynomials

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 a...

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Bibliographic Details
Published in1993 American Control Conference pp. 2685 - 2689
Main Authors Wang, S.-K., Nagurka, M.L.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.1993
Subjects
Chebyshev approximation
Control systems
Finite wordlength effects
Jacobian matrices
Performance analysis
Polynomials
Regulators
Riccati equations
State feedback
Symmetric matrices
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Summary: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.
ISBN:0780308603
9780780308602
DOI:10.23919/ACC.1993.4793383