Feedback control of Petri nets based on place invariants
Automatica (Journal of IFAC)
ACM Computing Surveys (CSUR)
Reduction of constraints for controller synthesis based on safe Petri Nets
Automatica (Journal of IFAC)
Combined siphon and marking generation for deadlock prevention in Petri nets
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Deadlock control methods in automated manufacturing systems
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Siphon-Based Deadlock Prevention Policy for Flexible Manufacturing Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Selective Siphon Control for Deadlock Prevention in Petri Nets
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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This paper develops a place invariant based deadlock prevention method to obtain an optimal, i.e., maximally permissive, liveness-enforcing Petri net supervisor with a minimal supervisory structure that means the minimal number of control places. Maximal permissiveness can be achieved by designing place invariants that make all legal markings reachable while all first-met bad markings unreachable. An integer linear programming problem is formulated to compute all place invariants and its objective function minimizes the number of place invariants, aiming to yield a minimal supervisory structure. Importantly, we develop a technique to greatly improve the efficiency of the proposed method by reducing the number of constraints and variables in the integer linear programming problem under consideration. A number of examples from the literature are used to illustrate the proposed approaches.