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Event-Separation Properties and Asymptotic Behaviour of Hybrid Event-Based Control Systems

Published: 11 April 2016 Publication History

Abstract

In hybrid event-based control (HEBC) systems the controller influences a continuous plant $G$ through two input signals with different characteristics. A continuous input is used to attenuate disturbances and to force the plant to follow a reference signal, whereas a discrete-valued input is determined by an event-based component of the controller in order to adjust the operation point of the plant. HEBC systems have typical characteristics of hybrid dynamical systems including state jumps and switching dynamics.
This paper analyses HEBC systems with linear components. It derives bounds on the event threshold in order to avoid Zeno behaviour and to guarantee a minimum inter-event time. The main result is a condition under which the closed-loop system is asymptotically stable and has an asymptotic set-point tracking behaviour. An application example illustrates the results.

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Cited By

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  • (2016)Compensation of switching effects in hybrid event-based control systems2016 Second International Conference on Event-based Control, Communication, and Signal Processing (EBCCSP)10.1109/EBCCSP.2016.7605257(1-8)Online publication date: Jun-2016

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  1. Event-Separation Properties and Asymptotic Behaviour of Hybrid Event-Based Control Systems

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    cover image ACM Conferences
    HSCC '16: Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control
    April 2016
    324 pages
    ISBN:9781450339551
    DOI:10.1145/2883817
    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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    Publication History

    Published: 11 April 2016

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    Author Tags

    1. event threshold
    2. event-based control
    3. hebc
    4. hybrid systems
    5. zeno

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    Overall Acceptance Rate 153 of 373 submissions, 41%

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    • (2016)Compensation of switching effects in hybrid event-based control systems2016 Second International Conference on Event-based Control, Communication, and Signal Processing (EBCCSP)10.1109/EBCCSP.2016.7605257(1-8)Online publication date: Jun-2016

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