標題: A two-phase computational scheme for solving bang-bang control problems
作者: Huang, Chih-Hung
Tseng, Ching-Huan
機械工程學系
Department of Mechanical Engineering
關鍵字: two-phase scheme;time-optimal control problem;bang-bang control;enhanced branch-and-bound method;admissible optimal control problem formulation
公開日期: 1-Dec-2006
摘要: This paper focuses on numerical methods for solving time-optimal control problems using discrete-valued controls. A numerical Two-Phase Scheme, which combines admissible optimal control problem formulation with enhanced branch-and-bound algorithms, is introduced to efficiently solve bang-bang control problems in the field of engineering. In Phase 1, the discrete restrictions are relaxed, and the resulting continuous problem is solved by an existing optimal control solver. The information on switching times obtained in Phase I is then used in Phase 11 wherein the discrete-valued control problem is solved using, the proposed algorithm. Two numerical examples, including, a third-order system and the F-8 fighter aircraft control problem, are presented to demonstrate the use of this proposed scheme. Comparing to STC and CPET methods proposed in the literature, the proposed scheme provides a novel method to find a different switching structure with a better minimum time for the F-8 fighter jet control problem.
URI: http://dx.doi.org/10.1007/s11081-006-0349-x
http://hdl.handle.net/11536/11495
ISSN: 1389-4420
DOI: 10.1007/s11081-006-0349-x
期刊: OPTIMIZATION AND ENGINEERING
Volume: 7
Issue: 4
起始頁: 445
結束頁: 458
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