Robust connective stabilization of large-scale systems with expanding construction based on dynamic output feedback

Robust decentralized connective stabilization problem based on dynamic output feedback for a class of large-scale systems with expanding construction, which is constituted by adding new subsystems one after another on the original construction during the operation, is studied in this paper. Aiming at this kind of system, the mathematical description of large-scale systems with expanding construction based on the dynamic output feedback is deduced. The sufficient condition of the robust decentralized connective stabilization based on dynamic output feedback for the expanding construction system is obtained by taking Lyapunov theory and LMI approach. The design method of the dynamic output feedback controller of the expanding construction is given. The system simulation research is done for presented method, and the simulation results show the effectiveness of this method.