Results and perspectives on computational methods for optimal control of switched systems

Authors:
Xuping Xu;Panos J. Antsaklis
Affiliations:
Department of Electrical and Computer Engineering, Penn State Erie, Erie, PA;Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN
Venue:
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Year:
2003

Citing 4
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Abstract

This paper surveys some of the recent progresses on computational methods for optimal control of switched systems. A general model of switched system that allows externally forced switching (EFS) and internally forced switching (IFS) is first introduced and two important classes of optimal control problems are formulated. After a brief review of some relevant theoretical results, we present the idea of two stage optimization. Based on the theoretical results and two stage optimization, we then survey computational methods based on discretization, and computational methods not based on discretization. Comments are made on the merits and restrictions of each method.