A finite series expansion method using discrete Legendre orthogonal polynomials (DLOPs) is applied to analyze linear time-varying discrete systems. An effective algorithm is derived to establish a representation which relates the DLOP coeficient vector of a product function to those of its two-comp
Optimal control of linear time-varying discrete systems via discrete legendre orthogonal polynomials
โ Scribed by Kuo-Kai Shyu; Chyi Hwang
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 904 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
A method of jkite series expansion using discrete Legendre orthogonal polynomials (DLOP's) is proposed for the fmite-time optimal control of time-varying discrete systems with a quadratic performance index. Computational algorithms are derivedfor solving
two-point boundary-value canonical state equations. The method has the distinct advantage that it reduces the two-point boundary-value d@erence equations into a set of algebraic equations which involves specljied boundary conditions. Hence, the method is particularly amenable to computer programming and parallel processing.
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