Teoxeira, M., Malik, R., Cury, J. E. R. De Queiroz, M. H. (2013). Variable abstraction and approximations in supervisory control synthesis. In Proceedings of American Control Conference (ACC'13), Washington DC, USA (pp. 132-137). Washington, DC, USA: IEEE.
Permanent Research Commons link: https://hdl.handle.net/10289/8091
This paper proposes a method to simplify Extended Finite-state Automata (EFA) in such a way the least restrictive controllable supervisor is preserved. The method is based on variable abstraction, which involves the identification and removal of irrelevant variables from a model. Variable abstraction preserves controllability, and the paper shows how approximations can be used to ascertain least restrictiveness of the synthesis result. The approach has the modelling benefits of Extended Finite-state Automata, leads to optimal control solutions, and reduces the synthesis cost. An example of a manufacturing system illustrates the contributions.
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