Research on robust connective stabilization for a class of large scale systems with arbitrary expanding construction

The robust connective stabilization problem for a class of interconnected large scale systems with arbitrary expanding construction, in which the new subsystems with arbitrary dimension are added, is studied in this paper. This problem is how to design the local decentralized control law of the new arbitrary subsystem based on not changing the decentralized control laws of original construction, so that both the subsystem and the resultant expanded system are connective stable. In the past literature, the research results are only aimed at the subsystems with same dimension. Further, the expansion problem for the subsystem with different dimensions is solved in this paper. The dispose method about different dimensions is given. The sufficient condition of the robust connective stabilization for the expanding construction of the systems is obtained by taking Lyapunov theory and LMI approach. The design Method of the robust decentralized connective stabilization controller of the expanding construction is given. The control simulation results for a class of power system modol with expanding construction show the effectiveness of presented method.