Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system

doi:10.1088/1674-1056/27/7/070503

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/27/7/070503

Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system

Jiang-Bin Wang(王江彬), Chong-Xin Liu(刘崇新), Yan Wang(王琰), Guang-Chao Zheng(郑广超)

1 State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
2 School of Electrical Engineering, Xi'an Jiaotong University

收稿日期:2018-01-24 修回日期:2018-03-30 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Jiang-Bin Wang E-mail:1550151867@qq.com
基金资助:
Project supported by the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (Grant No. 51521065).

Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system

Jiang-Bin Wang(王江彬)^1,2, Chong-Xin Liu(刘崇新)^1,2, Yan Wang(王琰)^1,2, Guang-Chao Zheng(郑广超)^1,2

1 State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
2 School of Electrical Engineering, Xi'an Jiaotong University

Received:2018-01-24 Revised:2018-03-30 Online:2018-07-05 Published:2018-07-05
Contact: Jiang-Bin Wang E-mail:1550151867@qq.com
Supported by:
Project supported by the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (Grant No. 51521065).

摘要/Abstract

摘要： Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed time stability theory, which ensures precise convergence of the state variables of controlled system, and overcomes the drawback of convergence time growing unboundedly as the initial value increases in finite time controller. It makes the controlled system converge to the control objective within a fixed time bounded by a constant as the initial value grows, and convergence time can be changed by adjusting parameters of controllers properly. Compared with other fixed time controllers, the fixed time integral sliding mode controller proposed in this paper achieves chattering-free control, and integral expression is used to avoid singularity generated by derivation. Finally, the controller is used to stabilize four-order chaotic power system. The results demonstrate that the controller realizes the non-singular chattering-free control of chaotic oscillation in the power system and guarantees the fixed time convergence of state variables, which shows its higher superiority than other finite time controllers.

关键词: fixed time stability, integral sliding mode control, four-order power system, chaotic oscillation, non-singular chattering-free

Abstract: Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed time stability theory, which ensures precise convergence of the state variables of controlled system, and overcomes the drawback of convergence time growing unboundedly as the initial value increases in finite time controller. It makes the controlled system converge to the control objective within a fixed time bounded by a constant as the initial value grows, and convergence time can be changed by adjusting parameters of controllers properly. Compared with other fixed time controllers, the fixed time integral sliding mode controller proposed in this paper achieves chattering-free control, and integral expression is used to avoid singularity generated by derivation. Finally, the controller is used to stabilize four-order chaotic power system. The results demonstrate that the controller realizes the non-singular chattering-free control of chaotic oscillation in the power system and guarantees the fixed time convergence of state variables, which shows its higher superiority than other finite time controllers.

Key words: fixed time stability, integral sliding mode control, four-order power system, chaotic oscillation, non-singular chattering-free

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)

王江彬, 刘崇新, 王琰, 郑广超. Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system[J]. 中国物理B, 2018, 27(7): 70503-070503.

Jiang-Bin Wang(王江彬), Chong-Xin Liu(刘崇新), Yan Wang(王琰), Guang-Chao Zheng(郑广超). Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system[J]. Chin. Phys. B, 2018, 27(7): 70503-070503.

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Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system

Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system

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