Designing Linear Optimal Regulators Via Chebyshev Polynomials
Institute of Electrical and Electronic Engineers (IEEE)
1993 American Control Conference
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.
Wang, S. K. and Nagurka, Mark L., "Designing Linear Optimal Regulators Via Chebyshev Polynomials" (1993). Mechanical Engineering Faculty Research and Publications. 181.