Control of Discrete-Event Systems with Partial Observations Using Coalgebra and Coinduction
Discrete Event Dynamic Systems
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In this paper, we study nonblocking supervisory control of discrete event systems under partial observation. A nonblocking supervisor can be synthesized for the supremal Lm(G)-closed, controllable, and normal sublanguage of a given (non-closed) marked language. However, such a supervisor may be too restrictive as a solution to the supervisory control problem. We identify a subclass of observable sublanguages of a given language, which has the supremal element larger than the supremal normal sublanguage. By using the supremal element, we present an iterative algorithm for computing an Lm(G)-closed, controllable, and observable sublanguage of a given marked language, which is larger than the supremal Lm(G)-closed, controllable, and normal sublanguage.