GRASP in Switching Input Optimal Control Synthesis

In this paper, several optimal control problems are introduced, referred to the switching input control scheme. The system is characterized by several control variables and at any time only one of them can be acted. At any time, the control decision involves the input variable to be activated and its value. Under suitable assumption about both the finite time and the infinite time but periodic case, the optimal control can be computed as standard feedback law, once the switching policy is defined. The problem turns in a high dimension discrete problem and a search procedure can be used to solve it. Here we apply the meta-heuristic Greedy Randomized Search Procedure with good results