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- Title
Optimal control problem for a class of bilinear systems via block pulse functions.
- Authors
BALATIF, OMAR; RACHIK, MOSTAFA; LABRIJI, EL HOUSSINE; RACHIK, ZINEB
- Abstract
This paper deals with an optimal control problem with quadratic cost for a class of bilinear systems using the orthogonal functions technique. The main idea of this technique is that it reduces the problem to solving a system of algebraic equations, thus simplifying the problem. The control variable and the state variables are approximated by block pulse functions series. Then the system dynamics is transformed into systems of algebraic equations. Finally, numerical results are given to illustrate the proposed method.
- Subjects
OPTIMAL control theory; CALCULUS of variations; BILINEAR forms; ALGEBRAIC equations; BINOMIAL equations
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p973
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw005