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 equ
Analysis of time-varying discrete systems using discrete legendre orthogonal polynomials
β Scribed by Chyi Hwang; Kuo-Kai Shyu
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 800 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
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-component functions. By using this representation, along with the time-shift operational matrix of DLOP, a linear time-varying diSference equation is converted into a set of linear algebraic equations. It is therefore convenient for computer computation.
π SIMILAR VOLUMES
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