Stabilization of switched systems with all unstable modes: Application to the aircraft team problem

摘要

The method of stabilizing switched systems based on the optimal control is applied, with all modes unstable, for a typical example of the multi-agent system. First, the optimal control method for stabilizing switched systems is introduced. For this purpose, a switching table rule procedure is constructed. This procedure is inspired by the optimal control that identifies the optimal trajectory for the switched systems. In the next step, the stability of a multi-agent system is studied, considering different unstable connection topologies. Finally, the optimal control method is successfully applied to an aircraft team, as an example of the multi-agent systems. Simulation results evaluate and confirm the successful application of this method in the aircraft team example.