中文摘要：

对于指数1且关联可测的非线性微分-代数子系统，研究其逆系统控制方法，并将结果应用于电力系统元件分散控制。首先描述了此类非线性微分-代数子系统的物理背景和系统特性，并给出了非线性微分-代数子系统的α阶积分右逆系统和可逆的定义；然后给出了一种递归算法，以此来判别被控系统的可逆性，并构造出由状态反馈和动态补偿实现的α阶积分右逆系统，实现了复合系统的线性化解耦；最后针对多机电力系统中的一台同步发电机，应用所提出的方法研究其励磁控制电压问题。仿真结果验证了所提出方法的有效性。

英文摘要：

For a class of nonlinear differential -algebraic equations （DAE） subsystems： whose index is one and interconnection is lo- cal measurable, the inverse system control method is studied in this paper. The result is applied to the components control of power sys- tems. At first the background and the particularities of such systems are expatiated. Then the definition of - order right inverse system is put forward. A recursive algorithm is given, with which to identify whether the nonlinear DAE subsystems are invertible. An - order right inverse system is realized by both state -feedback and dynamic compensation, with which the nonlinear DAE subsystems are de- coupled and linearized. Finally, an excitation controller is designed for one of the synchronous generators in the multi - machine power systems based on the proposed method in this paper. The simulation is conducted and the results demonstrate the effectiveness of the proposed control scheme.