Optimization of Controls for State Feedback using Controlled Dan/Petri Nets

We show how to optimize the set of controls for control systems with state feedback. The method takes a control system modeled by a controlled Petri net as input, transform it into a controlled Dan/Petri net and then apply a multiple and simultaneous control (MSC) approach to optimize the set of controls. The MSC is allocated into specific controller subnets. Using the MSC approach, several subnets have been defined and some of them can reduce the size of the set of controls. In this paper we define the subnet Sigma_n ^xf(q)-y and explain how to optimize the set of controls for a control system with state feedback having single-place connected circuits.