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Global optimization method for continuous-time sensor scheduling. (English) Zbl 1225.37120
The authors consider a situation in which several sensors are used to collect data for signal processing. Since operating multiple sensors simultaneously causes system interference, only one sensor can be activate at a time. The authors formulate the problem of “scheduling operation of the sensors to minimize the signal estimation error” as a discrete-valued optimal control problem. Instead of using the conventional optimization techniques, they decompose the transformed problem into a bi-level optimization problem and then solve the resulting problem using a discrete filled function method in conjunction with a conventional optimal control algorithm. They also perform some numerical simulations which seem to show that their algorithm is robust, efficient and reliable in attaining a new global optimal solution.
MSC:
37N35Dynamical systems in control
37N40Dynamical systems in optimization and economics
90C06Large-scale problems (mathematical programming)