Modeling, Analysis, and Optimal Control of a Class of HybridSystems

  • Authors:
  • David L. Pepyne;Christos G. Cassandras

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, MA 01003/ pepyne@ecs.umass.edu;Department of Manufacturing Engineering, Boston University, Boston, MA 02215/ cgc@enga.bu.edu

  • Venue:
  • Discrete Event Dynamic Systems
  • Year:
  • 1998

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Abstract

We propose a modeling framework for a class of hybridsystems which arise in many manufacturing environments and studyrelated optimal control problems. In this framework, discreteentities have a state characterized by a temporal componentwhose evolution is described by event-driven dynamics, and aphysical component whose evolution is described by time-drivendynamics. As a first step towards developing an optimal controltheory for such hybrid systems, we formulate a problem consistingof a single-stage manufacturing process and use calculus of variationstechniques to obtain structural properties and an explicit algorithmfor deriving optimal policies.