State estimation using continuous orthogonal functions

DOI10.1080/00207728608926885zbMath0594.93057OpenAlexW2089958184MaRDI QIDQ3725981

Ing-Rong Horng, Jyh-Horng Chou

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207728608926885

zbMATH Keywords

state estimationLuenberger observercontinuous orthogonal functions

Mathematics Subject Classification ID

Estimation and detection in stochastic control theory (93E10) 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) Identification in stochastic control theory (93E12) Classical operational calculus (44A45)

Related Items (2)

On-line identification and optimal control of continuous-time systems. ⋮ Numerical solutions of time-varying TS-fuzzy-model-based time-delay dynamic equations via orthogonal functions

Cites Work

• Unnamed Item
• Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
• Shifted Chebyshev series analysis of linear optimal control systems incorporating observers
• State estimation using block-pulse functions†
• Legendre polynomials approximation to dynamic linear state equations with initial or boundary value conditions
• Identification of linear distributed systems via Laguerre polynomials
• Output sensitivity analysis using orthogonal functions
• Design of piecewise constant gains for optimal control via Walsh functions

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