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Operational Models for Piecewise-Smooth Systems

Authors:

Andrew Sogokon,

Khalil Ghorbal,

Taylor T. JohnsonAuthors Info & Claims

ACM Transactions on Embedded Computing Systems (TECS), Volume 16, Issue 5s

Article No.: 185, Pages 1 - 19

https://doi.org/10.1145/3126506

Published: 10 October 2017 Publication History

Abstract

In this article we study ways of constructing meaningful operational models of piecewise-smooth systems (PWS). The systems we consider are described by polynomial vector fields defined on non-overlapping semi-algebraic sets, which form a partition of the state space. Our approach is to give meaning to motion in systems of this type by automatically synthesizing operational models in the form of hybrid automata (HA). Despite appearances, it is in practice often difficult to arrive at satisfactory HA models of PWS. The different ways of building operational models that we explore in our approach can be thought of as defining different semantics for the underlying PWS. These differences have a number of interesting nuances related to phenomena such as chattering, non-determinism, so-called mythical modes and sliding behaviour.

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Cited By

Van Roy WNurkanović AAbbasi-Esfeden RFrey JPozharskiy ASwevers JDiehl M(2023)Continuous Optimization for Control of Finite-State Machines with Cascaded Hysteresis via Time-Freezing2023 62nd IEEE Conference on Decision and Control (CDC)10.1109/CDC49753.2023.10384083(6261-6266)Online publication date: 13-Dec-2023
https://doi.org/10.1109/CDC49753.2023.10384083
Tan YPlatzer A(2021)Switched Systems as Hybrid ProgramsIFAC-PapersOnLine10.1016/j.ifacol.2021.08.50654:5(247-252)Online publication date: 2021
https://doi.org/10.1016/j.ifacol.2021.08.506
Sogokon AJackson PJohnson T(2019)Verifying Safety and Persistence in Hybrid Systems Using Flowpipes and Continuous InvariantsJournal of Automated Reasoning10.1007/s10817-018-9497-x63:4(1005-1029)Online publication date: 1-Dec-2019
https://dl.acm.org/doi/10.1007/s10817-018-9497-x

Index Terms

Operational Models for Piecewise-Smooth Systems

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Published In

cover image ACM Transactions on Embedded Computing Systems

ACM Transactions on Embedded Computing Systems Volume 16, Issue 5s

Special Issue ESWEEK 2017, CASES 2017, CODES + ISSS 2017 and EMSOFT 2017

October 2017

1448 pages

ISSN:1539-9087

EISSN:1558-3465

DOI:10.1145/3145508

Editor:
Sandeep K. Shukla
Indian Institute of Technology, India

Issue’s Table of Contents

Copyright © 2017 ACM.

Publication rights licensed to ACM. ACM acknowledges that this contribution was authored or co-authored by an employee, contractor or affiliate of a national government. As such, the Government retains a nonexclusive, royalty-free right to publish or reproduce this article, or to allow others to do so, for Government purposes only.

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Association for Computing Machinery

New York, NY, United States

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ACM Journals for the Design of Smart and Connected Systems

Publication History

Published: 10 October 2017

Accepted: 01 July 2017

Revised: 01 June 2017

Received: 01 April 2017

Published in TECS Volume 16, Issue 5s

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Cited By

Van Roy WNurkanović AAbbasi-Esfeden RFrey JPozharskiy ASwevers JDiehl M(2023)Continuous Optimization for Control of Finite-State Machines with Cascaded Hysteresis via Time-Freezing2023 62nd IEEE Conference on Decision and Control (CDC)10.1109/CDC49753.2023.10384083(6261-6266)Online publication date: 13-Dec-2023
https://doi.org/10.1109/CDC49753.2023.10384083
Tan YPlatzer A(2021)Switched Systems as Hybrid ProgramsIFAC-PapersOnLine10.1016/j.ifacol.2021.08.50654:5(247-252)Online publication date: 2021
https://doi.org/10.1016/j.ifacol.2021.08.506
Sogokon AJackson PJohnson T(2019)Verifying Safety and Persistence in Hybrid Systems Using Flowpipes and Continuous InvariantsJournal of Automated Reasoning10.1007/s10817-018-9497-x63:4(1005-1029)Online publication date: 1-Dec-2019
https://dl.acm.org/doi/10.1007/s10817-018-9497-x

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