Supervisory Control of Concurrent Systems

Increasing complexity in engineering projects raises difficult challenges in industry and requires effective tools for correct-by-construction design or design verification. This book addresses the design of such tools for correct-by-construction synthesis of supervisors for systems and specifications represented in the discrete-event framework. The approach employed uses Petri nets as discrete-event models and structural methods for the synthesis of supervisors, and may lead to significant computational benefits.

Highlighting recent progress in the design of supervisors by structural methods, the book represents a novel contribution to the field. One of the main features of the presentation is the demonstration that structural methods can address a variety of supervisor specifications under diverse supervision settings.

Additional features of the text:

• Applications of the methods presented are emphasized by considering various concurrency assumptions as well as types of system uncontrollability and unobservability.

• Treatment of the supervision problem for decentralized settings and hybrid dynamical systems.

• A focus on both theory and practice: formal proofs are provided in a sound mathematical setting to guarantee performance and correctness; at the same time, the authors have worked out the relevant details to ensure the methods are ready to implement in software.

• Many of the presented methods have been realized in software as functions of a MATLAB toolbox, which have been used to solve many of the examples of the book.

The work is self-contained and includes necessary background on Petri nets and supervision. Requiring only basic knowledge of undergraduate-level discrete mathematics, the text is accessible to a broad audience. Researchers and developers from various engineering fields may find effective means to reduce the complexity of design problems in the discrete-event setting. Graduate students may use the work as a self-study reference, and portions of the text may be used in advanced courses on discrete-event systems.

Contenu
An Introduction to Petri Nets.- The Supervision of Petri Nets.- Enforcing General Specifications.- Decentralized Supervision of Petri Nets.- Deadlock and Liveness Properties of Petri Nets.- Liveness Enforcement in Petri Nets: A Structural Approach. Part I.- Liveness Enforcement in Petri Nets: A Structural Approach. Part II.- DES Control of Concurrent Hybrid Systems.- Hybrid System Level Control.