System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series
- 1 July 1985
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 42 (1) , 211-224
- https://doi.org/10.1080/00207178508933357
Abstract
The operational matrix of integration of a Jacobi vector whose elements are Jacobi polynomials is introduced and then applied to the analysis, parameter estimation and optimal regulator design of time-invariant linear systems. Illustrative examples are given for demonstration. Very satisfactory results are obtained due to rapid convergent property of the Jacobi series. The new method is algebraic and computer-oriented.Keywords
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