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Nonlinear Dynamics

, Volume 86, Issue 1, pp 401–420 | Cite as

Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

  • Junkang Ni
  • Ling Liu
  • Chongxin Liu
  • Xiaoyu Hu
  • Tianshi Shen
Original Paper

Abstract

In this paper, a fixed-time dynamic surface high-order sliding mode control approach is presented for chaos suppression and voltage stabilization in three-bus power system via design of current source converter-based static synchronous compensator controller. The proposed control strategy constructs two high-order sliding mode surfaces to achieve control objective. By combining backstepping idea with dynamic surface control (DSC) technique, high-order sliding mode controller is designed and the inherent problem of “explosion of complexity” in backstepping design is avoided. Further, a new stability concept is introduced into DSC design to achieve semi-global uniform ultimate boundedness of the signals in high-order sliding mode system within finite time independent of initial condition. In addition, stability analysis is provided to show that the proposed control scheme can achieve semi-globally fixed-timely uniformly ultimately bounded stabilization. Finally, simulation results are given to demonstrate the effectiveness of the proposed control scheme and the superior performance over conventional DSC.

Keywords

Chaos suppression Dynamic surface control (DSC) Fixed-time stability High-order sliding mode control Current source converter-based static synchronous compensator (CSC-STATCOM ) Power system 

Notes

Acknowledgments

This Project was supported by the National Natural Science Foundation of China (Grant Nos. 51177117 and 51307130) and the Creative Research Groups Fund of the National Natural Science Foundation of China (Grant No. 51221005).

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical EngineeringXi’an Jiaotong UniversityXi’anPeople’s Republic of China

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