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Analytical and numerical solutions of a quasilinear parabolic optimal control problem

✍ Scribed by A.H. Khater; A.B. Shamardan; M.H. Farag; A.H. Abel-Hamid

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
650 KB
Volume
95
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper presents analytical and numerical solutions of an optimal control problem for a quasilinear parabolic equation. The existence and uniqueness theorems of the solution are investigated. The derivation of formulae for the gradient of the modified cost function by solving the conjugated boundary value problem is explained. The numerical algorithm for solving the optimal control problem using partial quadratic interpolation technique is given. The computed optimal controls is helped to identify the unknown coefficients of the quasilinear parabolic equation. Numerical results are reported.

πŸ“œ SIMILAR VOLUMES

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Direct solution of nonlinear optimal control problems using quasilinearization and Chebyshev polynomials
✍ Hussein Jaddu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 346 KB

In this paper, a numerical method to solve nonlinear optimal control problems with terminal state constraints, control inequality constraints and simple bounds on the state variables, is presented. The method converts the optimal control problem into a sequence of quadratic programming problems. To