Intelligent Systems, Control and Automation: Science and Engineering

Viability of Hybrid Systems

A Controllability Operator Approach

Authors: Labinaz, G., Guay, M.

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  • Examines viability of hybrid systems from a controllability operator perspective
  • Provides a complete modelling formalism including addressing existence of solution and continuity of the closed-loop system
  • Solves the three-tank problem in different contexts
  • Provides a unified formalism for robust viability
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About this book

The problem of viability of hybrid systems is considered in this work. A model for a hybrid system is developed including a means of including three forms of uncertainty: transition dynamics, structural uncertainty, and parametric uncertainty. A computational basis for viability of hybrid systems is developed and applied to three control law classes. An approach is developed for robust viability based on two extensions of the controllability operator. The three-tank example is examined for both the viability problem and robust viability problem.

The theory is applied through simulation to an active magnetic bearing system and to a batch polymerization process showing that viability can be satisfied in practice. The problem of viable attainability is examined based on the controllability operator approach introduced by Nerode and colleagues. Lastly, properties of the controllability operator are presented.

Reviews

From the reviews:

“This book considers hybrid systems with uncertainties and state constraints. … it provides an interesting approach to viability problems with uncertainties and it explains the relations to other concepts of hybrid systems very well. … I recommend that the reader focus on the key notions behind each step of conceptual or algorithmic extension. … this book will provide interesting new insights into the broad field of hybrid systems.” (Thomas Lorenz, Mathematical Reviews, January, 2013)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-94-007-2521-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-94-007-2520-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA in USD
  • ISBN 978-94-007-3710-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Viability of Hybrid Systems
Book Subtitle
A Controllability Operator Approach
Authors
Series Title
Intelligent Systems, Control and Automation: Science and Engineering
Series Volume
55
Copyright
2012
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-2521-8
DOI
10.1007/978-94-007-2521-8
Hardcover ISBN
978-94-007-2520-1
Softcover ISBN
978-94-007-3710-5
Series ISSN
2213-8986
Edition Number
1
Number of Pages
X, 246
Topics