Optimal control of a class of hybrid systems

We present a modeling framework for hybrid systems intended to capture the interaction of event-driven and time-driven dynamics. This is motivated by the structure of many manufacturing environments where discrete entities (termed jobs) are processed through a network of workcenters so as to change...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2001-03, Vol.46 (3), p.398-415
Main Authors: Cassandras, C.G., Pepyne, D.L., Wardi, Y.
Format: Article
Language:English
Subjects:
Contracts
Control system synthesis
Difference equations
Differential equations
Discrete event systems
Dynamical systems
Dynamics
Helium
Hybrid systems
Manufacturing processes
Networks
Optimal control
Optimization
Optimization methods
Stochastic systems
Tasks
Temporal logic
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Summary:We present a modeling framework for hybrid systems intended to capture the interaction of event-driven and time-driven dynamics. This is motivated by the structure of many manufacturing environments where discrete entities (termed jobs) are processed through a network of workcenters so as to change their physical characteristics. Associated with each job is a temporal state subject to event-driven dynamics and a physical state subject to time-driven dynamics. Based on this framework, we formulate and analyze a class of optimal control problems for single-stage processes. First-order optimality conditions are derived and several properties of optimal state trajectories (sample paths) are identified which significantly simplify the task of obtaining explicit optimal control policies.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.911417