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Optimal control of linear discrete systems via hahn polynomials
Author(s) -
Hwang Chyi,
Chen ChyiTsong,
Shih YenPing
Publication year - 1989
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660100406
Subject(s) - mathematics , algebraic equation , computation , difference polynomials , linear system , boundary value problem , discrete orthogonal polynomials , mathematical analysis , orthogonal polynomials , nonlinear system , algorithm , physics , quantum mechanics
This paper presents a method of finite series expansion using Hahn polynomials for the finite time optimal control of linear discrete time systems with a quadratic performance index. The method converts the discrete two‐point boundary value Euler—Lagrange difference equations into a set of linear algebraic equations. As a result, the computation is simple and straightforward.
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