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Analysis of Discretely Controlled Continuous Systems by means of Embedded Maps

Jorg KRUPAR, Jan LUNZE, Axel SCHILD, Wolfgang SCHWARZ

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Summary :

Discretely controlled continuous systems are characterised by their interacting continuous and discrete dynamics, where the continuous subsystem usually represents the system to be controlled and the discrete part describes the controller that switches the continuous system among different operation modes. This paper analyses systems where a perpetual switching of the operation mode has to occur in order to maintain the system's state in a prescribed operating region. It is shown how the analysis of the overall hybrid system can be simplified by using an embedded map that determines the behaviour at the switching instants.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2697-2705
Publication Date
2006/10/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e89-a.10.2697
Type of Manuscript
Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
Category
Modelling, Systems and Simulation

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