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- Title
A new approach to optimal control of delay systems via Haar wavelets.
- Authors
ESMAEILI, MAHBOOBEH; KEYANPOUR, MOHAMMAD
- Abstract
In this paper, a numerical method based on Haar wavelet is proposed for solving the optimal control of time-delay system. The optimality conditions of this problem result to a two-point boundary value problem involving both delay and inverse time terms. The operational matrix of inverse time is introduced and applied for linear inverse time system. Then, the operational matrices of inverse time, integration, delay and product are utilized to reduce the two-point boundary value problem to an algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
- Subjects
HAAR function; WAVELETS (Mathematics); TIME delay systems; BOUNDARY value problems; MATRICES (Mathematics)
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 4, p1177
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw018