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Indexed by:期刊论文

Date of Publication:2008-03-01

Journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals:SCIE、EI

Volume:212

Issue:2

Page Number:179-186

ISSN No.:0377-0427

Key Words:trajectory design; nonlinear multistage dynamical system; optimal control; uniform design algorithm; Hooke-Jeeves algorithm

Abstract:The trajectory design of horizontal well is a optimal control problem of nonlinear multistage dynamical system. It is often sought using trial-and-error methods, but these methods depend on experience of designers and workers. In this paper, we create new optimal control model of nonlinear dynamical system for the trajectory design of horizontal well. Several properties are discussed. Uniform design method is used to choose the initial points in the feasible region. We demonstrate how to decompose the feasible region into finite subregions in which improved Hook-Jeeves algorithm is employed to search optimal solution. Finally, the feasible optimization algorithm is constructed to find the optimal solution of the system. Several results show the validity of our algorithm. This is preferable, since our method is independent of the experience. (C) 2007 Elsevier B.V. All rights reserved.