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Observer design for a class of piecewise affine hybrid systems

Published: 08 April 2013 Publication History

Abstract

A methodology for the design of observers is proposed for a special class of hybrid dynamical systems, which are motivated by traffic and manufacturing applications. The class of hybrid systems is characterized as switched system models with constant drift and constant output, rendering all subsystems unobservable by themselves. However, an observer can still be derived due to the fixed switching pattern, even though the switching times may be unknown. A main step in the observer design methodology is the usage of a discrete-time linear observer based on the discretized hybrid dynamics at the event times that are visible. Using this step, a continuous-time observer is built that incorporates additional modes compared to the original hybrid system. This continuous-time observer is shown to asymptotically reconstruct the state of the original system under suitable assumptions. Manufacturing and traffic applications are used to illustrate the proposed observer design methodology.

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cover image ACM Conferences
HSCC '13: Proceedings of the 16th international conference on Hybrid systems: computation and control
April 2013
378 pages
ISBN:9781450315678
DOI:10.1145/2461328
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 08 April 2013

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Author Tags

  1. manufacturing systems
  2. observer design
  3. piecewise affine hybrid systems
  4. traffic applications

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HSCC '13
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HSCC '13: Computation and Control
April 8 - 11, 2013
Pennsylvania, Philadelphia, USA

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HSCC '13 Paper Acceptance Rate 40 of 86 submissions, 47%;
Overall Acceptance Rate 153 of 373 submissions, 41%

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