Observability implies observer design for switched linear systems

Aneel Tanwani, Hyungbo Shim, Daniel Liberzon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a characterization of observability and an observer design method for a class of hybrid systems. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions. A relatively weaker characterization is given for determinability, the property that concerns with recovery of the original state at some time rather than at all times. These conditions are then utilized in the construction of a hybrid observer that is feasible for implementation in practice. The observer, without using the derivatives of the output, generates the state estimate that converges to the actual state under persistent switching.

Original languageEnglish (US)
Title of host publicationHSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems
Subtitle of host publicationComputation and Control
Pages3-12
Number of pages10
DOIs
StatePublished - May 20 2011
Event14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011 - Chicago, IL, United States
Duration: Apr 12 2011Apr 14 2011

Publication series

NameHSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control

Other

Other14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011
CountryUnited States
CityChicago, IL
Period4/12/114/14/11

Keywords

  • Observability
  • Observer design
  • Switched linear systems

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Control and Systems Engineering

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  • Cite this

    Tanwani, A., Shim, H., & Liberzon, D. (2011). Observability implies observer design for switched linear systems. In HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control (pp. 3-12). (HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control). https://doi.org/10.1145/1967701.1967705