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Results and Perspectives on Computational Methods for Optimal Control of Switched Systems
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Results and Perspectives on Computational Methods for Optimal Control of Switched Systems
Xuping Xu6 and Panos J. Antsaklis7 
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Department of Electrical and Computer Engineering, Penn State Erie, 16563 Erie, PA, USA |
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Department of Electrical Engineering, University of Notre Dame, 46556 Notre Dame, IN, USA |
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.
The partial support of the National Science Foundation (NSF ECS99-12458 & CCR01-13131), and of the DARPA/ITO-NEST Program
(AF-F30602-01-2-0526) is gratefully acknowledged.
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