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

来源：

2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年

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

页码：4668 / 4673

页数：6

共 50 条

[21] On an invariance principle for differential-algebraic equations with jumps and its application to switched differential-algebraic equations
Nanez, Pablo
Sanfelice, Ricardo G.
Quijano, Nicanor
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2017, 29 (01)
[22] A symplectic indirect approach for a class of nonlinear optimal control problems of differential-algebraic systems
Shi, Boyang
Peng, Haijun
Wang, Xinwei
Zhong, Wanxie
Gao, Lingchong
Fottner, Johannes
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (07) : 2712 - 2736
[23] On an invariance principle for differential-algebraic equations with jumps and its application to switched differential-algebraic equations
Pablo Ñañez
Ricardo G. Sanfelice
Nicanor Quijano
[J]. Mathematics of Control, Signals, and Systems, 2017, 29
[24] Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems
Kunkel, P
Mehrmann, V
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2001, 14 (03) : 233 - 256
[25] Differential-algebraic equations and descriptor systems
Müller, PC
Simeon, B
[J]. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2001, 7 (02) : 131 - 132
[26] TRANSFORMATIONS OF DIFFERENTIAL-ALGEBRAIC SYSTEMS OF EQUATIONS
BULATOV, MV
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1994, 34 (03) : 301 - 311
[27] Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems
Peter Kunkel
Volker Mehrmann
[J]. Mathematics of Control, Signals and Systems, 2001, 14 : 233 - 256
[28] On the Optimum Control of Differential-Algebraic Equations
P. K. Venkatesh
[J]. Journal of Optimization Theory and Applications, 2001, 109 : 675 - 689
[29] On the optimum control of differential-algebraic equations
Venkatesh, PK
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 109 (03) : 675 - 689
[30] Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory
Chen, Yahao
Respondek, Witold
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 314 : 161 - 200

← 1 2 3 4 5 →