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Optimal Nonblocking Directed Control of Discrete Event Systems

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2 Author(s)
Jing Huang ; Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA ; Ratnesh Kumar

For the control of discrete event systems, the notion of directed control refines that of supervisory control. A directed controller is one that selects at most one controllable event to be enabled at any state (without disabling any uncontrollable event), which is in fact how a discrete event control is implemented. In contrast, a supervisory controller computes a maximal allowable set of controllable events at each state, leaving undecided exactly which controllable event should be enabled. In previous works, we developed a framework for the computation of optimal directed controllers and a polynomial synthesis algorithm for acyclic plants. In this paper, we present a novel synthesis approach for general plants, i.e., plants with or without cycles, thus providing a complete solution to the optimal directed control problem. The complexity of the approach remains polynomial in the size of plant.

Published in:

IEEE Transactions on Automatic Control  (Volume:53 ,  Issue: 7 )