Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
- 30 May 1985
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 41 (5) , 1221-1234
- https://doi.org/10.1080/0020718508961193
Abstract
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.Keywords
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