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Optimal Control of Hybrid Systems with Regional Dynamics

During the last decade, a vast body of research on hybrid control systems has been produced. This trend is driven by the fact that many modern application domains involve complex systems, in which sub-system interconnections, mode transitions, and heterogeneous computational devices are present. Hybrid models, in which continuous and discrete dynamical components interact, have proved useful for capturing these types of phenomena. The purpose of my presentation is to introduce a special kind of hybrid systems, where discrete mode transitions are triggered by events in the continuous state space. In particular, the attention is focused on the optimal control problem associated with such systems. Based on a hierarchical structuring of the optimal control problem, a Hybrid Bellman Equation is derived providing a characterization of global optimality and representing both, a theoretical characterization of the hybrid solution's structural composition and, from a more application-driven point of view, an implementable, numerically computable calculation rule. Finally, a number of examples are presented to highlight the operation of the proposed approach.

Type of Seminar:
IfA Seminar
Angela Schöllig
Jan 23, 2008   11:00

Contact Person:

Melanie Zeilinger
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