Observability of Linear Hybrid Systems

  • René Vidal
  • Alessandro Chiuso
  • Stefano Soatto
  • Shankar Sastry
Conference paper

DOI: 10.1007/3-540-36580-X_38

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

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • René Vidal
    • 1
  • Alessandro Chiuso
    • 2
  • Stefano Soatto
    • 3
  • Shankar Sastry
    • 1
  1. 1.Department of EECSUniversity of CaliforniaBerkeleyUSA
  2. 2.Dipartimento di Ingegneria dell’InformazioneUniversità di PadovaItaly
  3. 3.Department of CSUniversity of CaliforniaLos AngelesUSA

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