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Summary: A Linear Programming Approach to Time Optimal Control of
Integrator Switched Systems with State Constraints
Xuping Xu
Department of Electrical and Computer
Engineering
Penn State Erie
Erie, PA 16563, USA
Panos J. Antsaklis
Department of Electrical Engineering
University of Notre Dame
Notre Dame, IN 46556, USA
Abstract-- In this paper, time optimal control problems of
a class of integrator switched systems with polyhedral state
constraint subsets are studied. We first develop a directed
graph representation of the system discrete structure. Based
on the graph representation, we generate candidate solution
paths and propose an algorithm for seeking the optimal solution.
A linear programming method for finding the optimal timing
information for each path is then proposed. Finally, we report
preliminary results on some sufficient conditions and techniques
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