Parameter identification of non-linear systems via shifted Chebyshev series

DOI10.1080/00207728708964016zbMath0611.93016OpenAlexW2021508521MaRDI QIDQ3752227

Jyh-Horng Chou, Ing-Rong Horng

Publication date: 1987

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728708964016

zbMATH Keywords

shifted Chebyshev seriesidentification of time-invariant nonlinear systems

Mathematics Subject Classification ID

System identification (93B30) Nonlinear systems in control theory (93C10) 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) Identification in stochastic control theory (93E12) Control/observation systems governed by ordinary differential equations (93C15) Classical operational calculus (44A45)

Related Items (4)

Parameter estimation algorithms for bilinear and non-linear systems using Walsh functions—recursive approach ⋮ Identification of nonlinear differential equations via Fourier series operational matrix for repeated integration ⋮ Recursive identification of transfer function matrix in continuous systems via linear integral filter ⋮ Identification of non-linear systems using the exponential Fourier series

Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• The design of optimal observers via shifted Chebyshev polynomials
• Shifted Chebyshev series analysis of linear optimal control systems incorporating observers
• Parameter identification of non-linear systems using Laguerre operational matrices
• Analysis and identification of linear distributed systems via Chebyshev series
• Identification of non-linear distributed system using Walsh functions†
• Identification of non-linear distributed systems via block-pulse functions

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