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This paper deals with supervisory control synthesis of Petri net controller for forbidden state transition problem based on a new utilization of the theory of regions. Two different approaches are proposed to reduce the resolution complexity of the theory of regions by minimizing the total number of equations in its linear system. These two approaches are based on a new concept of minimal cuts in...
This work presents a new approach of control specification. Many researches on control synthesis sacrificed some requirement of control in order to satisfy control specifications that are expressed by a linear combination of place markings in a given reachability graph. However, these control specifications cannot usually fulfil some requirement of control; this is why we introduce a new approach...
This work presents a new method for the synthesis of Petri net controller using the theory of regions. Control specifications are expressed as the conjunction of generalized mutual exclusion constraints (GMEC). The great advantage of the proposed method is to reduce the resolution difficulty of the theory of regions by introducing a concept of minimal cut in the reachability graph with minimal number...
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