Overlapping decentralized control based on dynamic output feedback for large-scale interconnected systems

Overlapping decentralized control problem based on dynamic output feedback is studied for a class of large-scale interconnected systems with loop topology in this paper. According to the restriction conditions of Inclusion Principle of large-scale systems, the special overlapping structure decomposition process is carried on. The large scale system is decomposed into a series of pair-wise subsystems in the expanded space. The dynamic output feedback controllers of each pair-wise subsystem are designed, and then they are contracted to the original space. Overlapping decentralized control of the large-scale system is achieved. In controller design, Lyapunov theory and LMI approach are used to obtain the sufficient condition for stability of the overall system. And the design method of dynamic output feedback controllers is given. Because the controllers are designed only for each pair-wise subsystem, the method can avoid the difficulty in solving LMI with high dimension led by too many subsystems for general LMI method. Finally, the proposed method is applied to AGC control design of a three-area interconnected power system. The simulation results show that the performances of the designed controllers using proposed method are better than the one by LMI approach directly.