Nonlinear decentralized control of interconnected large-scale power system

To the problem of this interconnected large-scale system, which is characteristic of unmatched nonlinear interconnection functions that are unknown but quadratically bounded in the overall system state, decentralized feedback control method based on BMI is presented. The proposed control method can determine whether the overall system is asymptotical stable by judging whether the deduced linear matrix inequality groups have feasible solutions after offsetting the interaction of nonlinear interconnected function to the subsystem itself by virtue of the known inequality and converting the qualification to Lyapunov stability into bilinear matrix inequality via Schur complement formula. Whatpsilas more, the algorithms for calculating the decentralized feedback matrices are proposed by using the method of bilinear matrix inequalities. In additional, the simulation of a two-machine infinite bus power system has been done here. The simulation results of this power system show that this method is feasible and valid.