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Supervision of Petri Nets presents supervisory control theory for Petri nets with a legal set as the control goal. Petri nets model discrete event systems - dynamic systems whose evolution is completely determined by the occurrence of discrete events. Control laws, which guarantee that the system meets a set of specifications in the presence of uncontrollable and unobservable events, are studied and constructed, using application areas such as automated manufacturing and transportation systems. Supervision of Petri Nets introduces a new and mathematically sound approach to the subject. Existing results are unified by proposing a general mathematical language that makes extensive use of order theoretical ideas, and numerous new results are described, including ready-to-use algorithms that construct supervisory control laws for Petri nets. Supervision of Petri Nets is an excellent reference for researchers, and may also be used as a supplementary text for advanced courses on control theory.
Content Level »Research
Keywords »Mathematica - algebra - algorithms - linear algebra - system
Preface. 1. The Petri Net Model. 2. Supervisory Control. 3. Uncontrollable Events and Transitions. 4. Reduction Theorems. 5. Acyclic Petri Nets. 6. Decomposition of the Control Design. 7. Continuous Versus Discrete Events. 8. Structural Linear Algebraic Control Design. References. Index.