Model reduction of discrete systems via discrete Chebyshev polynomials

DOI10.1080/00207728408926563zbMath0529.93044OpenAlexW1979376248MaRDI QIDQ3312108

Ruey-Yinn Hwang, Yen-Ping Shih

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00207728408926563

zbMATH Keywords

model reductiondiscrete Chebyshev polynomial expansiondiscrete Chebyshev spectrum matchingstable reduction methods

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) 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) Transformations (93B17) Model systems in control theory (93C99) Discrete operational calculus (44A55)

Related Items

Application of general discrete orthogonal polynomials to optimal-control systems ⋮ A new orthogonal series approach to state-space analysis and identification ⋮ Analysis of time-varying discrete systems using discrete Legendre orthogonal polynomials ⋮ Model reduction on 2-D systems via orthogonal series ⋮ Application of discrete Chebyshev polynomials to the optimal control of digital systems ⋮ Time domain and frequency domain model order reduction for discrete time-delay systems

Cites Work

• A combined time and frequency domain method for model reduction of discrete systems