Analysis and optimal control of time-varying systems via Chebyshev polynomials

DOI10.1080/00207178308933124zbMath0517.93031OpenAlexW2033046680MaRDI QIDQ3666706

Cheng-Chiian Liu, Yen-Ping Shih

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308933124

zbMATH Keywords

time-varying linear systemsapproximation of time functions by truncated Chebyshev seriesforward and backward integration

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Control/observation systems governed by ordinary differential equations (93C15) Model systems in control theory (93C99)

Related Items

Analysis and parameter estimation of non-linear systems via shifted Chebyshev expansions, General orthogonal polynomials approximation of the linear-quadratic-gaussian control design, The shifted Legend re approach to non-linear system analysis and identification, Construction of optimal feedback control for nonlinear systems via Chebyshev polynomials, Solutions of convolution integral and Fredholm integral equations via double Fourier series, An effective approach to the optimal-control problem for time-varying linear systems via Taylor series, Optimal control of linear time-varying discrete systems via discrete Legendre orthogonal polynomials, Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind, Structure analysis via orthogonal functions, Parameter estimation algorithms for bilinear and non-linear systems using Walsh functions—recursive approach, Taylor series analysis and identification of scaled systems, Analysis of linear time-varying systems and bilinear systems via Taylor series, Analysis and optimal control of linear time-varying systems via general orthogonal polynomials, Analysis and parameter identification of time-delay linear systems via generalized orthogonal polynomials, Transforming linear time-varying optimal control problems with quadratic criteria into quadratic programming ones via wavelets, Analysis and optimal control of time-varying systems via polynomial series, Parameter identification of time-varying system via generalized orthogonal polynomials, Double generalized orthogonal polynomial series for the solution of integral equations, Solution of linear dynamic systems with initial or boundary value conditions by shifted Chebyshev approximations, Solution of integral equations via generalized orthogonal polynomials, Generalization of generalized orthogonal polynomial operational matrices for fractional and operational calculus, Optimal control of deterministic systems described by integrodifferential equations, A discrete Taylor series method for the solution of two-point boundary-value problems, Parameter estimation of discrete systems via Hahn polynomials, Analysis of time-varying discrete systems using discrete Legendre orthogonal polynomials, Spectral method for constrained linear-quadratic optimal control, Analysis and optimal control of time-varying systems via Fourier series, Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations, Chebyshev series approach to linear systems sensitivity analysis, Analysis and parameter estimation of bilinear systems via generalized orthogonal polynomials, Analysis, parameter identification and optimal control of time-varying systems via general orthogonal polynomials, Solution of a scaled system via Chebyshev polynomials, Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials, System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series, System analysis and synthesis via orthogonal polynomial series and Fourier series, New Taylor series approach to state-space analysis and optimal control of linear systems

Cites Work

• Model reduction by Chebyshev polynomial techniques
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Laguerre operational matrices for fractional calculus and applications
• Parameter identification via shifted Legendre polynomials
• A state-space approach to Walsh series solution of linear systems
• Analysis and optimal control of time-varying linear systems via Walsh functions
• Unnamed Item