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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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Tom
Strony
253--266
Opis fizyczny
Bibliogr. 31 poz., rys., wzory
Twórcy
autor
- Far Eastern Federal University, Vladivostok 690091, Russia
- Institute of Marine Technology Problems, Vladivostok, 690091, Russia
autor
- Institute of Marine Technology Problems, Vladivostok, 690091, Russia
autor
- Institute of Automation and Processes of Control, Vladivostok, 690014, Russia
autor
- Far Eastern Federal University, Vladivostok 690091, Russia
Bibliografia
- [1] H. Alwi and C. Edwards: Fault tolerant control using sliding modes with on-line control allocation. Automatica, 44 (2008), 1859-1866, DOI: 10.1016/j.automatica.2007.10.034.
- [2] H. Alwi, C. Edwards, and C. Tan: Sliding mode estimation schemes for incipient sensor faults. Automatica, 45 (2009), 1679-1685, DOI: 10.1016/j.automatica.2009.02.031.
- [3] F. Bejarano, L. Fridman, and A. Pozhyak: Unknown input and state estimation for unobservable systems. SIAM J. Control and Optimization, 48 (2009), 1155-1178. DOI: 10.1137/070700322.
- [4] F. Bejarano and L. Fridman: High-order sliding mode observer for linear systems with unbounded unknown inputs. Int. J. Control, 83 (2010), 1920-1929, DOI: 10.1080/00207179.2010.501386.
- [5] M. Blanke, M. Kinnaert, J. Lunze, and M. Staroswiecki: Diagnosis and Fault-Tolerant Control. Berlin: Springer-Verlag, 2006.
- [6] A. Brahim, S. Dhahri, F. Hmida, and A. Sellami: Simultaneous actuator and sensor faults reconstruction based on robust sliding mode observer for a class of nonlinear systems. Asian J. Control, 19 (2017), 362-371, DOI: 10.1002/asjc.1359.
- [7] J. Chan, C. Tan, and H. Trinh: Robust fault reconstruction for a class of infinitely unobservable descriptor systems. Int. J. Systems Science, (2017), 1-10. DOI: 10.1080/00207721.2017.1280552.
- [8] L. Chen, C. Edwards, H. Alwi, and M. Sato: Flight evaluation of a sliding mode online control allocation scheme for fault tolerant control. Automatica, 144 (2020), DOI: 10.1016/j.automatica.2020.108829.
- [9] M. Defoort, K. Veluvolu, J. Rath, and M. Djemai: Adaptive sensor and actuator fault estimation for a class of uncertain Lipschitz nonlinear systems. Int. J. Adaptive Control and Signal Processing, 30 (2016), 271-283, DOI: 10.1002/acs.2556.
- [10] S. Ding: Data-driven Design of Fault Diagnosis and Fault-tolerant Control Systems. London: Springer-Verlag, 2014.
- [11] C. Edwards and S. Spurgeon: On the development of discontinuous observers. Int. J. Control, 59 (1994), 1211-1229, DOI: 10.1080/00207179408923128.
- [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.
- [15] T. Floquet, C. Edwards, and S. Spurgeon: On sliding mode observers for systems with unknown inputs. Int. J. Adaptive Control and Signal Processing, 21 (2007), 638-65, DOI: 10.1002/acs.958.
- [16] L. Fridman, A. Levant, and J. Davila: Observation of linear systems with unknown inputs via high-order sliding-modes. Int. J. Systems Science, 38 (2007), 773-791, DOI: 10.1080/00207720701409538.
- [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.
- [20] I. Samy, I. Postlethwaite, and D. Gu: Survey and application of sensor fault detection and isolation schemes. Control Engineering Practice, 19 (2011), 658-674, DOI: 10.1016/j.conengprac.2011.03.002.
- [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.
- [22] C. Tan and C. Edwards: Robust fault reconstruction using multiple sliding mode observers in cascade: development and design. Proc. 2009 American Control Conf., St. Louis, USA, (2009), DOI: 10.1109/ACC.2009.5160176.
- [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.
Uwagi
1. The paper was supported by Russian Foundation for Basic Research 20-38-70161.
2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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