一类非线性微分代数子系统的逆系统控制及应用  

Inverse System Control Method of a Class of Nonlinear Differential-Algebraic Equations Subsystems with Application

作　　者：臧强[1] 张凯锋[2] 戴先中[2] 周颖[3] 

机构地区：[1]南京信息工程大学信息与控制学院,江苏南京210044 [2]东南大学自动化学院复杂工程系统测量与控制教育部重点实验室,江苏南京210096 [3]南京邮电大学自动化学院,江苏南京210003

出　　处：《控制工程》2012年第6期982-986,共5页Control Engineering of China

基　　金：国家自然科学基金项目(61104103;61004001;60974036;61074100);江苏省自然科学基金项目(BK2011826);南京信息工程大学科研基金项目(S8110046001)

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。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.

关 键 词：微分-代数系统 子系统 逆系统 电力系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]