Analysis and parameter identification of bilinear systems via shifted Legendre polynomials

DOI10.1080/00207178608933604zbMath0593.93015OpenAlexW4240511464MaRDI QIDQ3724166

Muhyang Chen, Hwang, Chyi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933604

zbMATH Keywords

parameter identificationbilinear systemsshifted Legendre polynomials

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

Related Items

Parameter estimation algorithms for bilinear and non-linear systems using Walsh functions—recursive approach, Continuous-time bilinear system identification using single experiment with multiple pulses

Cites Work

• Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
• Parameter estimation of bilinear systems via Walsh functions
• 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
• Analysis and parameter estimation of bilinear systems via block-pulse functions
• Solution of linear dynamic system with initial or boundary value conditions by shifted Legendre approximations
• Bilinear system identification by Walsh functions