© 2007

Modelling and Analysis of Hybrid Supervisory Systems

A Petri Net Approach


Part of the Advances in Industrial Control book series (AIC)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Pages 1-11
  3. Pages 75-112
  4. Back Matter
    Pages 201-225

About this book


Hybrid supervisory systems integrate and exchange information between discrete- and continuous-data-based controllers and subsystems. Application areas include process, manufacturing and service industries, healthcare, telecommunication, transportation and logistics, among others.

From the hardware point of view, the rapid progress of information-processing power and its commercial availability has made possible the development of complex supervisory systems. Many barriers that restrained the evolution of supervisory systems in the past have been removed by the recent popularisation of the open-system paradigm. On the other hand, software has not followed the evolution in hardware and both the industrial and scientific communities have pointed out the need for a generic approach that guides the development of hybrid supervisory systems.

Modelling and Analysis of Hybrid Supervisory Systems introduces a modelling formalism that merges Petri nets, differential equation systems and object-oriented methods; a formalism that is adequate for modelling complex and large-scale systems. To guide the designer and conduct hybrid modelling, the book describes a method that starts from the requirements of a supervisory system and results in a proposal for such a system. The method is mainly based on Unified Modelling Language diagrams, well-known tools in both academia and industry. In order to ensure that the supervisory system will behave as expected under any operational circumstances, a validation procedure that allows verification of the formal properties of the hybrid model is presented.

In building a bridge between what is developed in academic research and what is available to the industrial professional, this monograph places particular emphasis on the description of real-world examples; three of these – an HVAC management system, a landing system and a cane-sugar factory – are discussed at length. It will interest academic researchers working with hybrid systems and their applications and will answer the need of industry-based engineers to unify their control of continuous- and discrete-event systems.


Advances in Industrial Control aims to report and encourage the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.


Automation Bridge Control Control Applications Control Engineering Hybrid Systems Information Networks Petri Nets Supervisory Control Supervisory Systems communication system analysis

Authors and affiliations

  1. 1.Divisão de Engenharia Mecânica-AeronáuticaInstituto Tecnológico de AeronáuticaSão José dos Campos (SP)Brazil
  2. 2.Escola PolitécnicaUniversity of São PauloSão Paulo (SP)Brazil
  3. 3.Laboratoire Analyse et Architecture des Systèmes (LAAS)CNRSToulouse Cedex 4France

About the authors

Emilia Villani received her PhD degree from the University of São Paulo, Brazil, in 2004. She is currently an Assistant Professor at Instituto Tecnologico de Aeronautica. Her area of work is Industrial Automation.

Paulo Eigi Miyagi received his Dr.Eng. degree from Tokyo Institute of Technology, Japan, in 1988 and L.Doc. degree from the University of Sao Paulo, Brazil, in 1993. He is currently a Professor at Escola Politécnica, the University of Sao Paulo, Brazil. His area of work is Mechatronics Systems and Industrial Automation.

Robert Valette received his PhD degree from LAAS-CNRS and Université Paul Sabatier, Toulouse, France, 1971. "Docteur d'État" from LAAS-CNRS and Université Paul Sabatier, Toulouse, France, 1976. Currently "Directeur de Recherche" (Chief senior researcher) at LAAS-CNRS and supervisor for real-time and critical embedded system training within the Doctoral School (École Doctorale) EDSYS, a common organization of Université Paul Sabatier, INSA and École Supérieure de l'Aéronautique et de l'Espace in Toulouse. After many years devoted to the study of Discrete Event Systems represented by Petri nets and their application to the local and supervisory control of manufacturing systems Robert Valette's interest currently focuses on critical embedded systems. This involves the formal verification of properties of discrete event systems with timeliness constraints and, when the behaviour of the physical system controlled by computer has to be taken into account, the formal verification of properties of hybrid systems.

Bibliographic information

Industry Sectors
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IT & Software
Materials & Steel
Oil, Gas & Geosciences


From the reviews:

"The book presents a unified approach to analysis and modeling of hybrid systems understood as those dynamics of which should be described by state variables of both continuous and discrete nature. The continuous variables are used to model standard process dynamics while the discrete ones are modified by abrupt changes in the dynamics. … is clearly written and may be directed to students, researchers and academic staff as well as to industrial professionals working in this area." (A. Šwierniak, Zentralblatt MATH, Vol. 1132 (10), 2008)