A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays

DOI10.1080/00207178608933567zbMath0586.93048OpenAlexW2014652714MaRDI QIDQ3713953

Hwang, Chyi, Muhyang Chen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933567

zbMATH Keywords

suboptimal controlShifted Legendre polynomialstime-varying systems with multiple state and control delays

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) Model systems in control theory (93C99) Classical operational calculus (44A45)

Related Items (4)

Application of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation ⋮ Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients ⋮ Optimal control of a class of time-delayed distributed systems by orthogonal functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Optimal control of delay systems via block pulse functions
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Near-optimum design of nonstationary linear systems with state and control delays
• Analysis and parameter identification of time-delay systems via shifted Legendre polynomials
• Transfer-function matrix identification in MIMO systems via shifted Legendre polynomials
• Parameter identification via shifted Legendre polynomials
• Solution of linear dynamic system with initial or boundary value conditions by shifted Legendre approximations

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