Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 5, Pages 3355-3368Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.07.014
Keywords
Optimal control; Hybrid; Bernoulli polynomials; Block-pulse; Integro-differential equations
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In this paper, a new numerical method for solving the optimal control of a class of systems described by integro-differential equations with quadratic performance index is presented. This optimization problem plays an important role in describing the dynamics of an elastic aircraft with allowance for non-steady flow past its profile. The method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The operational matrices of integration and product are given. These matrices are then utilized to reduce the solution of optimization problem to a nonlinear programming one to which existing well-developed algorithms may be applied. Illustrative examples are included to demonstrate the validity and applicability of the technique. (C) 2012 Elsevier Inc. All rights reserved.
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