Optimal Control for Switched Systems with Pre-defined Order and Switch-Dependent Dynamics

Erez Sigal and Joseph Z. Ben-Asher ()
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Erez Sigal: Technion
Joseph Z. Ben-Asher: Technion

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 2, No 14, 582-591

Abstract: Abstract The optimal control problem for switched systems, with a predefined order of switches, is considered. The differential equations may depend explicitly on previous switching instants, and the latter may be state dependent. The solution is based on the Calculus-of-Variations, which leads to a single two-point boundary-value problem. A new condition for the Hamiltonian jump at the switching instants is obtained. Simple numerical examples demonstrate the results.

Keywords: Switched systems; Discontinuous equations; Minimum principle; Indirect optimization (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0411-8

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