Application of general discrete orthogonal polynomials to optimal-control systems
- 1 May 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 43 (5) , 1375-1386
- https://doi.org/10.1080/00207178608933545
Abstract
The shift-transformation matrix of general discrete orthogonal polynomials is introduced. General discrete orthogonal polynomials are adopted to obtain the modified discrete Euler-Lagrange equations. Then general discrete orthogonal polynomials are applied to simplify the discrete Euler-Lagrange equations into a set of linear algebraic ones for the approximation of state and control variables of digital systems. An example is included to demonstrate the simplicity and applicability of the method. Also, a comparison of the results obtained via several classical discrete orthogonal polynomials for the same problem is given.Keywords
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