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Observability of Linear Hybrid Systems

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Hybrid Systems: Computation and Control (HSCC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2623))

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Abstract

We analyze the observability of the continuous and discrete states of continuous-time linear hybrid systems. For the class of jumplinear systems, we derive necessary and sufficient conditions that the structural parameters of the model must satisfy in order for filtering and smoothing algorithms to operate correctly. Our conditions are simple rank tests that exploit the geometry of the observability subspaces. For linear hybrid systems, we derive weaker rank conditions that are sufficient to guarantee the uniqueness of the reconstruction of the state trajectory, even when the individual linear systems are unobservable.

Research supported by grants ONR N00014-00-1-0621, NSF STC “CENS” and ECS0200511, European Project RECSYS, MIUR National Project Identification and Adaptive Control of Industrial Systems and Italian Space Agency.

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Author information

Authors and Affiliations

  1. Department of EECS, University of California, 94720, Berkeley, CA, USA

    René Vidal & Shankar Sastry

  2. Dipartimento di Ingegneria dell’Informazione, Università di Padova, Italy

    Alessandro Chiuso

  3. Department of CS, University of California, 90095, Los Angeles, CA, USA

    Stefano Soatto

Authors
  1. René Vidal
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  2. Alessandro Chiuso
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  3. Stefano Soatto
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  4. Shankar Sastry
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Editor information

Editors and Affiliations

  1. CNRS-VERIMAG, 2 avenue de Vignate, 38610, Gières, France

    Oded Maler

  2. Weizmann Institute of Science, Rehovot, 76100, Israel

    Amir Pnueli

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© 2003 Springer-Verlag Berlin Heidelberg

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Vidal, R., Chiuso, A., Soatto, S., Sastry, S. (2003). Observability of Linear Hybrid Systems. In: Maler, O., Pnueli, A. (eds) Hybrid Systems: Computation and Control. HSCC 2003. Lecture Notes in Computer Science, vol 2623. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36580-X_38

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  • DOI: https://doi.org/10.1007/3-540-36580-X_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00913-9

  • Online ISBN: 978-3-540-36580-8

  • eBook Packages: Springer Book Archive

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