Input-to-state stabilization with quantized output feedback

Yoav Sharon, Daniel M Liberzon

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

Abstract

We study control systems where the output subspace is covered by a finite set ofquantization regions, and the only information available to a controller is which of thequantization regions currently contains the system's output. We assume the dimension of theoutput subspace is strictly less than the dimension of the state space. The number ofquantization regions can be as small as 3 per dimension of the output subspace. We show how todesign a controller that stabilizes such a system, and makes the system robust to an externalunknown disturbance in the sense that the closed-loop system has the Input-to-State Stabilityproperty. No information about the disturbance is required to design the controller. Achievingthe ISS property for continuous-time systems with quantized measurements requires a hybridapproach, and indeed our controller consists of a dynamic, discrete-time observer, acontinuous-time state-feedback stabilizer, and a switching logic that switches between severalmodes of operation. Except for some properties that the observer and the stabilizer must possess,our approach is general and not restricted to a specific observer or stabilizer. Examples ofspecific observers that possess these properties are included.

Original languageEnglish (US)
Title of host publicationHybrid Systems
Subtitle of host publicationComputation and Control - 11th International Workshop, HSCC 2008, Proceedings
Pages500-513
Number of pages14
DOIs
StatePublished - Dec 1 2008
Event11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008 - St. Louis, MO, United States
Duration: Apr 22 2008Apr 24 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4981 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other11th International Workshop on Hybrid Systems: Computation and Control, HSCC 2008
CountryUnited States
CitySt. Louis, MO
Period4/22/084/24/08

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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    Sharon, Y., & Liberzon, D. M. (2008). Input-to-state stabilization with quantized output feedback. In Hybrid Systems: Computation and Control - 11th International Workshop, HSCC 2008, Proceedings (pp. 500-513). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4981 LNCS). https://doi.org/10.1007/978-3-540-78929-1-36