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
This publication has 8 references indexed in Scilit:
- Application of modified Laguerre polynomials in analysis of stiff equationsJournal of the Chinese Institute of Engineers, 1984
- Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial FunctionsJournal of Dynamic Systems, Measurement, and Control, 1983
- Analysis and optimal control of time-varying systems via Chebyshev polynomialsInternational Journal of Control, 1983
- Chebyshev series approach to system identification, analysis and optimal controlJournal of the Franklin Institute, 1983
- Application of chebyshev polynomials in analysis and identification of linear systemsJournal of the Chinese Institute of Engineers, 1983
- Solution of linear state-space equations and parameter estimation in feedback systems using laguerre polynomial expansionJournal of the Franklin Institute, 1982
- Laguerre Functions in Signal Analysis and Parameter IdentificationJournal of the Franklin Institute, 1982
- Laguerre operational matrices for fractional calculus and applicationsInternational Journal of Control, 1981