Backstepping Control for a Class of Nonlinear Differential-Algebraic Equations Subsystems with Application to Power Systems

被引:0
|
作者
Zang, Qiang [1 ]
Dai, Xianzhong [1 ]
Zhang, Kaifeng [1 ]
机构
[1] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Peoples R China
关键词
Differential-Algebraic Equations subsystems; Backstepping; power systems; asymptotic stabilization;
D O I
10.1109/WCICA.2008.4593678
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Backstepping control method of nonlinear Ordinary Differential Equations (ODE) systems is extended to a class of nonlinear Differential-Algebraic Equations (DAE) subsystems, which are put forward for decentralized control analysis of power systems. The differential equations and underlying constraints of the DAE subsystems involve the interconnection inputs generated by the rest of the large-scale systems. Equivalent systems are obtained through a local differomorphism and a feedback, and then the well-known Backstepping method for nonlinear ODE systems can be extended. An asymptotic stabilization controller is designed based on such a recursive approach. Based on the design scheme proposed in this paper, a speed governor is designed for one synchronous generator set in multi-machine power systems. The simulation results illustrate the utility of the proposed scheme.
引用
收藏
页码:4668 / 4673
页数:6
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