✦ LIBER ✦

A legendre technique for solving time-varying linear quadratic optimal control problems

✍ Scribed by Mohsen Razzaghi; Gamal Elnagar

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 521 KB
Volume: 330
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(93)90092-9

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✦ Synopsis

A methodjtir the optimal control of linear time-varying systems with a quadratic cost jitnctional is proposed. The state and control variables are expanded in the shified Legendre series, and an algorithm is provided for approximating the system dynamics, boundary conditions and peyformance index. The necessary condition of optimality is then derived as a system of linear algebraic equations. Numerical examples are included to demonstrate the validitiy and applicability of the technique.

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