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Abstract

The paper studies the fault identification problem for linear control systems under the unmatched disturbances. A novel approach to the construction of a sliding mode observer is proposed for systems that do not satisfy common conditions required for fault estimation, in particular matching condition, minimum phase condition, and detectability condition. The suggested approach is based on the reduced order model of the original system. This allows to reduce complexity of sliding mode observer and relax the limitations imposed on the original system.
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Bibliography

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[12] C. Edwards, S. Spurgeon, and R. Patton: Sliding mode observers for fault detection and isolation. Automatica, 36 (2000), 541–553, DOI: 10.1016/S0005-1098(99)00177-6.
[13] C. Edwards, H. Alwi, and C. Tan: Sliding mode methods for fault detection and fault tolerant control with application to aerospace systems. Int. J. Applied Mathematics and Computer Science, 22 (2012), 109–124, DOI: 10.2478/v10006-012-0008-7.
[14] V. Filaretov, A. Zuev, A. Zhirabok, and A. Protcenko: Development of fault identification system for electric servo actuators of multilink manipulators using logic-dynamic approach. J. Control Science and Engineering, 2017 (2017), 1–8, DOI: 10.1155/2017/8168627.
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[17] L. Fridman, Yu. Shtessel, C. Edwards, and X. Yan: High-order slidingmode observer for state estimation and input reconstruction in nonlinear systems. Int. J. Robust and Nonlinear Control, 18 (2008), 399–412, DOI: 10.1002/rnc.1198.
[18] R. Hmidi, A. Brahim, F. Hmida, and A. Sellami: Robust fault tolerant control design for nonlinear systems not satisfying matching and minimum phase conditions. Int. J. Control, Automation and Systems, 18 (2020), 1–14, DOI: 10.1007/s12555-019-0516-4.
[19] H. Rios, D. Efimov, J. Davila, T. Raissi, L. Fridman, and A. Zolghadri: Non-minimum phase switched systems: HOSM based fault detection and fault identification via Volterra integral equation. Int. J. Adaptive Control and Signal Processing, 28 (2014), 1372–1397, DOI: 10.1002/acs.2448.
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[21] C. Tan and C. Edwards: Sliding mode observers for robust detection and reconstruction of actuator and sensor faults. Int. J. Robust Nonlinear Control, 13 (2003), 443–463, DOI: 10.1002/rnc.723.
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[23] V. Utkin: Sliding Modes in Control Optimization, Berlin: Springer, 1992.
[24] X. Wang, C. Tan, and G. Zhou: A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions. Automatica, 79 (2017), 290–295, DOI: 10.1016/ j.automatica.2017.01.027.
[25] X. Yan and C. Edwards: Nonlinear robust fault reconstruction and estimation using a sliding modes observer. Automatica, 43 (2007), 1605–1614, DOI: 10.1016/j.automatica.2007.02.008.
[26] J. Yang, F. Zhu, and X. Sun: State estimation and simultaneous unknown input and measurement noise reconstruction based on associated observers. Int. J. Adaptive Control and Signal Processing, 27 (2013), 846–858, DOI: 10.1002/acs.2360.
[27] A. Zhirabok: Nonlinear parity relation: A logic-dynamic approach. Automation and Remote Control, 69 (2008), 1051-1064, DOI: 10.1134/ S0005117908060155.
[28] A. Zhirabok, A. Shumsky, and S. Pavlov: Diagnosis of linear dynamic systems by the nonparametric method. Automation and Remote Control, 78 (2017), 1173–1188, DOI: 10.1134/S0005117917070013.
[29] A. Zhirabok, A. Shumsky, S. Solyanik, and A. Suvorov: Fault detection in nonlinear systems via linear methods. Int. J. Applied Mathematics and Computer Science, 27 (2017), 261–272, DOI: 10.1515/amcs-2017-0019.
[30] A. Zhirabok, A. Zuev, and A. Shumsky: Methods of diagnosis in linear systems based on sliding mode observers. J. Computer and Systems Sciences Int., 58 (2019), 898–914, DOI: 10.1134/S1064230719040166.
[31] A. Zhirabok, A. Zuev, andV. Filaretov: Fault identification in underwater vehicle thrusters via sliding mode observers. Int. J. Applied Mathematics and Computer Science, 30 (2020), 679–688, DOI: 10.34768/amcs-2020-0050.
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Authors and Affiliations

Alexey Zhirabok
1 2
Alexander Zuev
2
Vladimir Filaretov
3
Alexey Shumsky
1

  1. Far Eastern Federal University, Vladivostok 690091, Russia
  2. Institute of Marine Technology Problems, Vladivostok, 690091, Russia
  3. Institute of Automation and Processes of Control, Vladivostok, 690014, Russia
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Abstract

Wind energy has achieved prominence in renewable energy production. There fore, it is necessary to develop a diagnosis system and fault-tolerant control to protect the system and to prevent unscheduled shutdowns. The presented study aims to provide an experimental analysis of a speed sensor fault by hybrid active fault-tolerant control (AFTC) for a wind energy conversion system (WECS) based on a permanent magnet synchronous generator (PMSG). The hybrid AFTC switches between a traditional controller based on proportional integral (PI) controllers under normal conditions and a robust backstepping controller system without a speed sensor to avoid any deterioration caused by the sensor fault. A sliding mode observer is used to estimate the PMSG rotor position. The proposed controller architecture can be designed for performance and robustness separately. Finally, the proposed methodwas successfully tested in an experimental set up using a dSPACE 1104 platform. In this experimental system, the wind turbine with a generator connection via a mechanical gear is emulated by a PMSM engine with controled speed through a voltage inverter. The obtained experimental results show clearly that the proposed method is able to guarantee service production continuity for the WECS in adequate transition.

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Authors and Affiliations

Ahmed Tahri
Said Hassaine
Sandrine Moreau
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Abstract

For fault detection of doubly-fed induction generator (DFIG), in this paper, a method of sliding mode observer (SMO) based on a new reaching law (NRL) is proposed. The SMO based on the NRL (NRL- SMO) theoretically eliminates system chatter caused by the reaching law and can be switched in time with system interference in terms of robustness and smoothness. In addition, the sliding mode control law is used as the index of fault detection. Firstly, this paper gives the NRL with the theoretically analyzes. Secondly, according to the mathematical model of DFIG, NRL-SMO is designed, and its analysis of stability and robustness are carried out. Then this paper describes how to choose the optimal parameters of the NRL-SMO. Finally, three common wind turbine system faults are given, which are DFIG inter-turn stator fault, grid voltage drop fault, and rotor current sensor fault. The simulation models of the DFIG under different faults is established. The simulation results prove that the superiority of the method of NRL-SMO in state tracking and the feasibility of fault detection.
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Bibliography

  1.  Z. Hameed, Y.S. Hong, Y.M. Cho, S.H. Ahn, and C.K. Song. “Condition monitoring and fault detection of wind turbines and related algorithms: A review”, Renew. Sust. Energ. Rev. 13(1), 1‒39 (2009).
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Authors and Affiliations

RuiQi Li
1 2
Wenxin Yu
1 2
JunNian Wang
3 2
Yang Lu
1 2
Dan Jiang
1 2
GuoLiang Zhong
1 2
ZuanBo Zhou
1 2

  1. School of Information and Electrical Engineering, Hunan University of Science and Technology, Hunan Pro., Xiangtan,411201, China
  2. Key Laboratory of Knowledge Processing Networked Manufacturing, Hunan University of Science and Technology, Hunan Pro., Xiangtan,411201, China
  3. School of Physics and Electronics, Hunan University of Science and Technology, Hunan Pro., Xiangtan,411201, China
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Abstract

In recent years there has been an increasing demand for electric vehicles due to their attractive features including low pollution and increase in efficiency. Electric vehicles use electric motors as primary motion elements and permanent magnet machines found a proven record of use in electric vehicles. Permanent magnet synchronous motor (PMSM) as electric propulsion in electric vehicles supersedes the performance compared to other motor types. However, in order to eliminate the cumbersome mechanical sensors used for feedback, sensorless control of motors has been proposed. This paper proposes the design of sliding mode observer (SMO) based on Lyapunov stability for sensorless control of PMSM. The designed observer is modeled with a simulated PMSM model to evaluate the tracking efficiency of the observer. Further, the SMO is coded using MATLAB/Xilinx block models to investigate the performance at real-time.
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Authors and Affiliations

Soundirarajan Navaneethan
1
Srinivasan Kanthalakshmi
2
S. Aandrew Baggio

  1. Department of Instrumentation and Control Systems Engineering, PSG College of Technology, Coimbatore, 641004, Tamilnadu, India
  2. Department of Electrical and Electronics Engineering, PSG College of Technology, Coimbatore, 641004, Tamilnadu, India

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