Hermite polynomial analysis of linear optimal control systems

DOI10.1080/00207728608926922zbMath0598.93023OpenAlexW2126692268MaRDI QIDQ3734241

Yuh-Feng Tsay, Tsu-Tian Lee

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207728608926922

zbMATH Keywords

Hermite polynomialsoptimal control systems incorporating observers

Mathematics Subject Classification ID

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) Observability (93B07) Model systems in control theory (93C99) Classical operational calculus (44A45)

Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• On the design of discrete-time optimal dynamic controllers using the partial state observer
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Parameter identification via Laguerre polynomials
• Parameter identification via shifted Legendre polynomials
• Design of piecewise constant gains for optimal control via Walsh functions
• Block-pulse series analysis of linear systems incorporating observers
• On observers in multi-variable control systems

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