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International Hybrid Systems Workshop

HS 1997: Hybrid Systems V pp 218–237Cite as

Sliding Mode Model Semantics and Simulation for Hybrid Systems

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1567))

Abstract

We describe model semantics and develop a simulation algorithm for characterizing a class of dynamic physical systems operating in the so-called sliding regimes. Complex continuous system behavior combines effects that occur at multiple temporal and spatial scales. Behavior generation is simplified by creating system models that employ time scale and parameter abstraction techniques. The resultant hybrid systems exhibit discrete and continuous behaviors, which manifest as piecewise continuous behaviors interspersed with discontinuous changes between the continuous operating modes. Mode transitions are induced by internal state changes and external control signals. Sometimes hybrid systems exhibit chattering behaviors at the discontinuous transition boundaries. This presents computational challenges to conventional numerical simulation methods. We develop an efficient, adaptive algorithm for simulating this class of systems, based on a careful analysis of the model semantics at the discontinuous boundaries. Simulation results show that the algorithm is more efficient and accurate for sliding mode systems than conventional integration methods.

Supported by a grant from the DFG Schwerpunktprogramm KONDISK.

Supported in part by ONR grant N00014-97-1-0599, NSF NYI grant CCR-9457802, and Sloan Research Fellowship.

Supported by grants from PNC, Japan and Hewlett-Packard, Labs, Palo Alto.

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Author information

Author notes

  1. Feng Zhao

    Present address: Xerox Palo Alto Research Center, 3333 Coyote Hill Road, Palo Alto, CA, 94304, USA

Authors and Affiliations

  1. Institute of Robotics and System Dynamics, DLR Oberpfaffenhofen, D-82230, Wessling, Germany

    Pieter J. Mosterman

  2. Department of Computer and Information Science, The Ohio State University, Columbus, OH, 43210, USA

    Feng Zhao

  3. Department of Computer Science, Vanderbilt University, Nashville, TN, 37235, USA

    Gautam Biswas

Authors
  1. Pieter J. Mosterman
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  2. Feng Zhao
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  3. Gautam Biswas
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA

    Panos Antsaklis  & Michael Lemmon  & 

  2. Hynomics Corporation, 10632 NE 37th Circle, Building 23, Kirkland, WA, 98033, USA

    Wolf Kohn

  3. Department of Mathematics, Cornell University, 217, White Hall, Ithaca, NY, 14853, USA

    Anil Nerode

  4. Electronic Research Laboratory, University of California at Berkeley, 253 Cory Hall, Berkeley, CA, 94720, USA

    Shankar Sastry

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© 1999 Springer-Verlag Berlin Heidelberg

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Mosterman, P.J., Zhao, F., Biswas, G. (1999). Sliding Mode Model Semantics and Simulation for Hybrid Systems. In: Antsaklis, P., Lemmon, M., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems V. HS 1997. Lecture Notes in Computer Science, vol 1567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49163-5_12

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  • DOI: https://doi.org/10.1007/3-540-49163-5_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65643-2

  • Online ISBN: 978-3-540-49163-7

  • eBook Packages: Springer Book Archive

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