The shifted Legend re approach to non-linear system analysis and identification

DOI10.1080/00207178508933433zbMath0587.93032OpenAlexW2018274613MaRDI QIDQ3714979

Dongher Shih, Fan-Chu Kung

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00207178508933433

zbMATH Keywords

Hammerstein modelshifted Legendre polynomial expansionanalysis and identification

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) Classical operational calculus (44A45)

Related Items (9)

A Legendre technique for solving time-varying linear quadratic optimal control problems ⋮ Linear quadratic optimal control problems via shifted Legendre state parametrization ⋮ Analysis of continuous time-varying non-linear systems using block-pulse expansions ⋮ Identification of a class of nonlinear continuous-time systems using Hartley modulating functions ⋮ Series expansion approach to the analysis and identification of discrete Hammerstein systems ⋮ Solution of linear two-point boundary value problems via Taylor series ⋮ Block pulse function approach for the identification of Hammerstein model non-linear systems ⋮ Hammerstein system identification by non-parametric regression estimation ⋮ Identification of time-varying nonlinear systems using Chebyshev polynomials

Cites Work

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• Optimal Observer Design With Specified Eigenvalues for Time-Invariant Linear System
• Parameter identification via Laguerre polynomials
• Identification of non-linear distributed systems via block-pulse functions
• Analysis and parameter estimation of bilinear systems via block-pulse functions
• A state-space approach to Walsh series solution of linear systems
• Bilinear system identification by Walsh functions
• Optimal feedback control via block-pulse functions
• Model Reduction and Control System Design by Shifted Legendre Polynomial Functions

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