Modeling, analysis and optimal control of a class of hybrid systems. (English) Zbl 0915.93027
Authors’ abstract: We propose a modeling framework for a class of hybrid systems which arise in many manufacturing environments and study related optimal control problems. In this framework, discrete entities have a state characterized by a temporal component whose evolution is described by event-driven dynamics, and a physical component whose evolution is described by time-driven dynamics. As a first step towards developing an optimal control theory for such hybrid systems, we formulate a problem consisting of a single-stage manufacturing process and use calculus of variations techniques to obtain structural properties and an explicit algorithm for deriving optimal policies.
Reviewer: T.M.Liebling (Lausanne)
MSC:
93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
90B22 | Queues and service in operations research |
93A30 | Mathematical modelling of systems (MSC2010) |
49N70 | Differential games and control |
49N75 | Pursuit and evasion games |