Linear optimal control systems by reduced-order observers via orthogonal functions

DOI10.1080/00207728808967584zbMath0636.93038OpenAlexW2087217225MaRDI QIDQ3777889

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207728808967584

zbMATH Keywords

time-invariantLegendre, associated Legendre \((m=2)\), first-kind Chebyshev, second-kind Chebyshev and Fourier seriesreduced-order compensatory observer

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) Classical operational calculus (44A45)

Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• Laguerre functions in signal analysis and parameter identification
• Solution of linear state-space equations and parameter estimation in feedback systems using Laguerre polynomial expansion
• Taylor series approach to system identification, analysis and optimal control
• The Fourier series operational matrix of integration
• On the design of discrete-time optimal dynamic controllers using the partial state observer
• System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series
• Parameter identification via Laguerre polynomials
• Parameter identification via shifted Legendre polynomials
• Block-pulse series analysis of linear systems incorporating observers

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