New approach to the optimal control of delay systems via Chebyshev series

DOI10.1016/0016-0032(87)90043-3zbMath0619.93043OpenAlexW1975546224MaRDI QIDQ1090298

Ing-Rong Horng, Jyh-Horng Chou

Publication date: 1987

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(87)90043-3

zbMATH Keywords

time-delay systemsChebyshev series

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 problems for functional-differential equations (34K35) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Classical operational calculus (44A45)

Related Items (4)

Linear quadratic optimal control problems via shifted Legendre state parametrization ⋮ Solution of linear two-point boundary value problems via Taylor series ⋮ Numerical solutions of time-varying TS-fuzzy-model-based time-delay dynamic equations via orthogonal functions ⋮ Optimal control of a class of time-delayed distributed systems by orthogonal functions

Cites Work

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• Optimal control of delay systems via block pulse functions
• Optimal control of linear systems with delays in state and control via Walsh functions
• Shifted Chebyshev series analysis of linear optimal control systems incorporating observers
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series

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