Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series. (English) Zbl 0562.93034

Summary: The Chebyshev delay operational matrix is introduced first and then applied to approximate the solutions of linear time-invariant and time- varying delay systems with arbitrary time delay. The parameter identification problem of the delay control system is also studied. Furthermore, an approximate solution of the optimal control problem with quadratic performance measure is then discussed. Four examples are given, and the results are shown to be very accurate and satisfactory.


93C05 Linear systems in control theory
34K35 Control problems for functional-differential equations
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
44A45 Classical operational calculus
93B30 System identification
93C99 Model systems in control theory
Full Text: DOI


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