System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series

DOI10.1080/00207178508933357zbMath0566.93021OpenAlexW2038839755MaRDI QIDQ3682321

Yen-Ping Shih, Cheng-Chiian Liu

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00207178508933357

zbMATH Keywords

parameter estimationoperational matrix of integrationJacobi seriestime-invariant linear systemsoptimal regulator design

Mathematics Subject Classification ID

Related Items (15)

Applications of the methods of weighted residuals in system science ⋮ Application of general orthogonal polynomials to the optimal control of time-varying linear systems ⋮ Analysis and parameter identification of time-delay systems via shifted Jacobi polynomials ⋮ The operational matrix of integration for Bessel functions ⋮ Analysis and identification of scaled systems via shifted Jacobi series ⋮ Shifted Jacobi series solution of simultaneous linear distributed systems ⋮ Linear optimal control systems by reduced-order observers via orthogonal functions ⋮ A new orthogonal series approach to sensitivity analysis ⋮ Numerical solution of nonlinear integral equations using alternative Legendre polynomials ⋮ A new orthogonal series approach to state-space analysis and identification ⋮ A Galerkin-parameterization method for the optimal control of smart microbeams ⋮ Analysis of stiff systems via method of shifted Jacobi functions ⋮ Linear optimal control systems using reduced-order observers via polynomial series ⋮ Shifted-Jacobi series direct method for variational problems ⋮ New Taylor series approach to state-space analysis and optimal control of linear systems

Cites Work

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• Chebyshev series approach to system identification, analysis and optimal control
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• The special functions and their approximations. Vol. I, II
• Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial Functions
• Analysis and optimal control of time-varying systems via Chebyshev polynomials
• Laguerre operational matrices for fractional calculus and applications

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