Viability of Hybrid Systems

A Controllability Operator Approach

  • G. Labinaz
  • M. Guay

Table of contents

  1. Front Matter
    Pages I-IX
  2. G. Labinaz, M. Guay
    Pages 1-11
  3. G. Labinaz, M. Guay
    Pages 13-43
  4. G. Labinaz, M. Guay
    Pages 45-88
  5. G. Labinaz, M. Guay
    Pages 89-137
  6. G. Labinaz, M. Guay
    Pages 139-166
  7. G. Labinaz, M. Guay
    Pages 167-202
  8. G. Labinaz, M. Guay
    Pages 217-236
  9. G. Labinaz, M. Guay
    Pages 237-238
  10. Back Matter
    Pages 239-244

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.


control controllability operator hybrid phenomena hybrid systems operator parametric uncertainty piecewise constant structural uncertainty three tank problem transition dynamics viability

Authors and affiliations

  • G. Labinaz
    • 1
  • M. Guay
    • 2
  1. 1.Department of Chemical EngineeringQueen's UniversityKingstonCanada
  2. 2.Department of Chemical EngineeringQueen's UniversityKingstonCanada

Bibliographic information