The inversion control of nonlinear differential-algebraic-equation subsystems: Extended Interactor algorithm

For a class of nonlinear differential-algebraic equations subsystems, whose index is one and interconnection is local measurable, the inversion control problem is studied by extending Interactor algorithm of nonlinear ordinary differential equations systems. Compared with existing results, the proposed method in this paper bears better realization because of no complex matrix transformation being needed. Firstly, the definition of right inverse systems is presented. Secondly, an extended Interactor algorithm is proposed to judge whether the controlled systems are invertable. Once the controlled systems are invertable, a physical realizable right inverse system is constructed, with which the controlled systems are made linearization and decoupled so that linear control methods can be applied. Finally, an excitation controller is designed for one synchronous generator of multi-machine power systems based on the proposed method in this paper. The simulation results illustrate the validity of the proposed control method in this paper.