NDLI: Safety controller synthesis for switched systems using multi-scale symbolic models

Content Provider	IEEE Xplore Digital Library
Author	Camara, J. Girard, A. Gossler, G.
Copyright Year	2011
Description	Author affiliation: Department of Informatics Engineering, University of Coimbra, Portugal (Camara, J.) \|\| INRIA Grenoble - Rhône-Alpes, 38334 Saint Ismier, France (Gossler, G.) \|\| Laboratory Jean Kuntzmann, University of Grenoble, B.P. 53, 38041, France (Girard, A.)
Abstract	We propose a technique for the synthesis of safety controllers for switched systems using multi-scale abstractions. To this end we build on a recent notion of multi-scale discrete abstractions for incrementally stable switched systems. These abstractions are defined on a sequence of embedded lattices approximating the state-space, the finer ones being used only in a restricted area where fast switching is needed. This makes it possible to deal with fast switching while keeping the number of states in the abstraction at a reasonable level. We present a synthesis algorithm that exploits the specificities of multi-scale abstractions. The abstractions are computed on the fly during controller synthesis. The finest scales of the abstraction are effectively explored only when fast switching is needed, that is when the system approaches the unsafe set. We provide experimental results that show drastic improvements of the complexity of controller synthesis using multi-scale abstractions instead of uniform abstractions.
Starting Page	520
Ending Page	525
File Size	409996
Page Count	6
File Format	PDF
ISBN	9781612848006
ISSN	07431546
e-ISBN	9781612848013
e-ISBN	9781612847993
DOI	10.1109/CDC.2011.6160424
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Safety Switched systems Switches Lattices Trajectory Lyapunov methods
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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