Volume 10 Number 4
August 2013
Article Contents
Meriem Benbrahim, Najib Essounbouli, Abdelaziz Hamzaoui and Ammar Betta. Adaptive Type-2 Fuzzy Sliding Mode Controller for SISO Nonlinear Systems Subject to Actuator Faults. International Journal of Automation and Computing, vol. 10, no. 4, pp. 335-342, 2013. doi: 10.1007/s11633-013-0729-6
Cite as: Meriem Benbrahim, Najib Essounbouli, Abdelaziz Hamzaoui and Ammar Betta. Adaptive Type-2 Fuzzy Sliding Mode Controller for SISO Nonlinear Systems Subject to Actuator Faults. International Journal of Automation and Computing, vol. 10, no. 4, pp. 335-342, 2013. doi: 10.1007/s11633-013-0729-6

Adaptive Type-2 Fuzzy Sliding Mode Controller for SISO Nonlinear Systems Subject to Actuator Faults

Author Biography:
  • Meriem Benbrahim received her M. Eng. degree in industrial engineering from Batna University, Algeria. Currently, she is an assistant professor in the Department of Industrial Engineering, Batna University, Algeria. And she is also an active member within a joint research project together with Research Center on Science and Technology of Information and Communication Laboratory of Reims University, Champagne Ardenne, France. Her research interests include dynamic system diagnosis and monitoring, intelligent control and fuzzy systems. E-mail: meriem.benbrahim@univ-reims.fr

  • Corresponding author: Najib Essounbouli
  • Received: 2012-04-18
Fund Project:

This work was supported by Region of Champagne Ardenne and European Regional Development Fund CPER-MOSYP.

  • In this paper, an adaptive type-2 fuzzy sliding mode control to tolerate actuator faults of unknown nonlinear systems with external disturbances is presented. Based on a redundant actuation structure, a novel type-2 adaptive fuzzy fault tolerant control scheme is proposed using sliding mode control. Two adaptive type-2 fuzzy logic systems are used to approximate the unknown functions, whose adaptation laws are deduced from the stability analysis. The proposed approach allows to ensure good tracking performance despite the presence of actuator failures and external disturbances, as illustrated through a simulation example.
  • 加载中
  • [1] H. Alwi, C.-P. Tan, Fault detection and fault-tolerantcontrol using sliding modes, Advances in IndustrialControl, London: Springer-Verlag, 2011.
    [2] G. Tao, S. Chen, X. Tang, S.M. Joshi, AdaptiveControl of Systems with Actuator Failures, London:Springer-Verlag, 2004
    [3] X. Tang, G. Tao, S.M. Joshi, Virtual Grouping basedadaptive actuator failure compensation for MIMO nonlinearsystems, IEEE Transactions on Automatic Control,vol.50(11), pp. 1775- 1780, Nov. 2005.
    [4] D. Ye, G.-H. Yang, Adaptive Fault-Tolerant TrackingControl Against Actuator Faults With Application toFlight Control, IEEE Transactions on Control SystemsTechnology, vol.14(6), pp.1088-1096, Nov. 2006.
    [5] L.-X. Wang, Stable adaptive fuzzy control of nonlinearsystems, Proceedings of the 31st IEEE Conferenceon Decision and Control, pp.2511-2516, Tucson, AZ,USA, 1992
    [6] L.X. Wang, Adaptive Fuzzy Systems and Control: Designand Stability Analysis, Prentice-Hall, EnglewoodCli s, NJ, 1994.
    [7] J.T. Spooner, K.M. Passino, Stable adaptive controlusing fuzzy systems and neural networks, IEEE Trans.Fuzzy Systems, vol. 4, pp. 339-359, 1996.
    [8] R. Ordonez, K.M. Passino, Stable multi-input multioutputadaptive fuzzy/neural control, IEEE Trans.Fuzzy Systems, vol. 7 (3), pp. 345-353, 1999.
    [9] Y. Tang, N. Zhang, Y. Li, Stable fuzzy adaptive controlfor a class of nonlinear systems, Fuzzy sets andSystems, vol. 104, 279-288, 1999.
    [10] S.C. Tong, Q. Li, T. Chai, Fuzzy adaptive control ofa class of nonlinear systems, Fuzzy sets and Systems,vol. 101, 31-39, 1999.
    [11] Y.C. Chang, Adaptive fuzzy-based tracking control fornonlinear SISO systems via VSS and H approaches,IEEE Trans. Fuzzy Systems, vol. 9, pp. 278-292, 2001.
    [12] A. Hamzaoui, A; Elkari, J. Zaytoon, Adaptive fuzzycontrol for uncertain nonlinear systems. In Proceedingof IFAC Workshop on Control Optimization, SaintPetersburg, Russia, 2000.
    [13] N. Essounbouli, A. Hamzaoui, J. Zaytoon, A supervisoryrobust adaptive fuzzy controller, Proceeding of15th IFAC World Congress on Automatic and Control,Barcelona, Spain, 2002.
    [14] P. Li, G.-H. Yang, Fault Tolerant Control for UnknownNonlinear Systems with Actuator Failures: An AdaptiveFuzzy Approach, Proccedings of the AmericanControl Conference, Washington, USA, 2008.
    [15] P. Li, G.-H. Yang, Adaptive Fuzzy Control of UnknownNonlinear Systems with Actuator Failures for RobustOutput Tracking, Proccedings of the American ControlConference, Washington, USA, 2008.
    [16] P. Li, G.-H. Yang, Backstepping adaptive fuzzy controlof uncertain nonlinear systems against actuator faults,Journal of Control Theory and Applications, vol 7 (3),pp. 248-256, 2009.
    [17] P. Li, G.-H. Yang, An adaptive fuzzy design for faulttolerantcontrol of MIMO nonlinear uncertain systems,Journal of Control Theory and Applications, vol 9 (2),pp. 244-250, 2011.
    [18] J.M. Mendel, Computing derivatives in interval type-2fuzzy logic systems, IEEE Transactions on Fuzzy Systems,vol. 12 (1), pp. 84-98, 2004.
    [19] J. M. Mendel, Advances in Type-2 Fuzzy Sets and Systems,"Information Sciences, vol. 177, pp. 84-110, 2007.
    [20] J. M.Mendel, Type-2 Fuzzy Sets and Systems: anOverview, IEEE Computational Intelligence Magazine,Vol. 2, pp. 20-29, February 2007.
    [21] J.J. Slotine and W.Li, Applied nonlinear control, Prenticehall, Englewood cli s, NJ, 1991.
    [22] B.S. Chen, Lee CH and Chang YL, H tracking designof uncertain nonlinear SISO systems: Adaptivefuzzy approach, IEEE transaction on fuzzy systems,vol 4, pp. 32-43, 1996.
    [23] Li-X. Wang, A course in fuzzy control systems andcontrol, Prentice-Hall, 1997.
    [24] N. Essounbouli, A. Hamzaoui and J. Zaytoon, An improvedrobust adaptive fuzzy controller for MIMO systems,Control and Intelligent Systems, vol. 34(1), pp.12-21, 2006.
    [25] S. S. Ge, C. J. Harris, Adaptive Neural Network Controlof Robotic Manipulators, World Scienti c PublishingCo., Inc., River Edge, NJ, 1998
    [26] Y.H. Lim, F.L. Lewis, High-level feedback control withneural networks (Singapore: World Scienti c, 1999).
    [27] J. T. Spooner, R. Ordonez, M. Maggiore, K. M.Passino, Stable Adaptive Control and Estimation forNonlinear Systems: Neural and Fuzzy ApproximationTechniques, JohnWiley and Sons, Inc., New York, NY,2001
    [28] C. K. Chui, An introduction to wavelets, AcademicPress Professional, Inc., San Diego, CA, 1992
    [29] Y.M. Cheng, B.S. Chen, F.Y. Shiau, Adaptive waveletnetwork control design for nonlinear systems, Proc.National Science Council ROC (A), vol. 22(6), pp. 783-799, 1998.
    [30] V.I Utkin,Sliding modes in controloptimization,Springer- Verlag, Berlin, 1992.
    [31] G. Tao, Adaptive control design and analysis, Wileyinterscience, John Wiley and Sons, Hoboken, New Jersey,2003.
    [32] K. Chafaa, L. Saidi, M. Ghanai, K. Benmahammed,Direct Adaptive Type-2 Fuzzy Control for NonlinearSystems, International Journal of Computational Intelligenceand Applications, vol. 6(3), pp. 389-411,2006.
    [33] K. Chafaa, L. Saidi, M. Ghanai, K. Benmahammed,Indirect adaptive interval type-2 fuzzy control for nonlinearsystems, Indirect adaptive interval type-2 fuzzycontrol for nonlinear systems, vol. 2(2), pp. 106-119,2007.
    [34] H. Hagras, A Hierarchical Type-2 Fuzzy Logic ControlArchitecture for Autonomous Mobile Robots, IEEETransactions on Fuzzy Systems, vol. 12(4), pp. 524-539, 2004.
    [35] A. Mencattini, M. Salmeri, S. Bertazzoni,R. Lojacono,E. Pasero, E., W. Moniaci,, Short term localmeteorological forecasting using type-2 fuzzy systems,Lecture Notes on Computer Science (Springer-Verlag),vol. 3931,pp. 95-104, 2006.
    [36] N. Karnik, J. Mendel, Q. Liang, Type-2 fuzzy logicsystems, IEEE Transactions on Fuzzy Systems, vol. 7,pp. 643-658, 1999.
    [37] Q. Liang, J. M. Mendel, Interval Type-2 Fuzzy LogicSystems: Theory and Design, IEEE Trans. on FuzzySystems, vol. 8, pp. 535-550, 2000.
    [38] J. Mendel, R. John, Type-2 fuzzy sets made simple,IEEE Transactions on Fuzzy Systems, vol. 10, pp. 117-127, 2002.
    [39] J. Mendel, Uncertain Rule-Based Fuzzy Logic Systems:Introduction and New Directions, Prentice-Hall, UpperSaddle River, NJ, 2001.
    [40] N. Essounbouli, A. Hamzaoui, Direct and indirect robustadaptive fuzzy controllers for a class of nonlinearsystems, International Journal of Control, Automationand Systems, vol. 4(2), pp. 146-154, 2006.
  • 加载中
  • [1] Mahdi Chavoshian, Mostafa Taghizadeh, Mahmood Mazare. Hybrid Dynamic Neural Network and PID Control of Pneumatic Artificial Muscle Using the PSO Algorithm . International Journal of Automation and Computing, 2020, 17(3): 428-438.  doi: 10.1007/s11633-019-1196-5
    [2] Mehdi Naderi, Tor Arne Johansen, Ali Khaki Sedigh. A Fault Tolerant Control Scheme Using the Feasible Constrained Control Allocation Strategy . International Journal of Automation and Computing, 2019, 16(5): 628-643.  doi: 10.1007/s11633-019-1168-9
    [3] Hong-Jun Yang, Min Tan. Sliding Mode Control for Flexible-link Manipulators Based on Adaptive Neural Networks . International Journal of Automation and Computing, 2018, 15(2): 239-248.  doi: 10.1007/s11633-018-1122-2
    [4] Sulaiman Ayobami Lawal, Jie Zhang. Actuator Fault Monitoring and Fault Tolerant Control in Distillation Columns . International Journal of Automation and Computing, 2017, 14(1): 80-92.  doi: 10.1007/s11633-016-1037-8
    [5] Nabiha Touijer, Samira Kamoun. Robust Self-tuning Control Based on Discrete-time Sliding Mode for Auto-regressive Mathematical Model in the Presence of Unmodelled Dynamics . International Journal of Automation and Computing, 2016, 13(3): 277-284.  doi: 10.1007/s11633-015-0921-y
    [6] Wei Hu,  Jie Tang. Study of Model-free Adaptive Data-driven SMC Algorithm . International Journal of Automation and Computing, 2016, 13(2): 183-190.  doi: 10.1007/s11633-015-0922-x
    [7] Qing-Chun Li,  Wen-Sheng Zhang,  Gang Han,  Ying-Hua Zhang. Finite Time Convergent Wavelet Neural Network Sliding Mode Control Guidance Law with Impact Angle Constraint . International Journal of Automation and Computing, 2015, 12(6): 588-599.  doi: 10.1007/s11633-015-0927-5
    [8] Sonia Mahjoub,  Faiçal Mnif,  Nabil Derbel. Second-order Sliding Mode Approaches for the Control of a Class of Underactuated Systems . International Journal of Automation and Computing, 2015, 12(2): 134-141.  doi: 10.1007/s11633-015-0880-3
    [9] Ismail Bendaas,  Farid Naceri,  Sebti Belkacem. Improving Asynchronous Motor Speed and Flux Loop Control by Using Hybrid Fuzzy-SMC Controllers . International Journal of Automation and Computing, 2014, 11(4): 361-367.  doi: 10.1007/s11633-014-0801-x
    [10] Majid Moradi Zirkohi, Mohammad Mehdi Fateh, Mahdi Aliyari Shoorehdeli. Type-2 Fuzzy Control for a Flexible-joint Robot Using Voltage Control Strategy . International Journal of Automation and Computing, 2013, 10(3): 242-255.  doi: 10.1007/s11633-013-0717-x
    [11] Yu-Yan Zhang,  Jun-Ling Zhang,  Xiao-Yuan Luo,  Xin-Ping Guan. Sensor/Actuator Faults Detection for Networked Control Systems via Predictive Control . International Journal of Automation and Computing, 2013, 10(3): 173-180.  doi: 10.1007/s11633-013-0710-4
    [12] On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results . International Journal of Automation and Computing, 2013, 10(4): 327-334.  doi: 10.1007/s11633-013-0728-7
    [13] Xue-Mei Niu, Guo-Qin Gao, Xin-Jun Liu, Zhi-Da Bao. Dynamics and Control of a Novel 3-DOF Parallel Manipulator with Actuation Redundancy . International Journal of Automation and Computing, 2013, 10(6): 552-562.  doi: 10.1007/s11633-013-0753-6
    [14] K. Jamoussi, L. Chrifi-Alaoui, H. Benderradji, A. El Hajjaji, M. Ouali. Robust Sliding Mode Control Using Adaptive Switching Gain for Induction Motors . International Journal of Automation and Computing, 2013, 10(4): 303-311.  doi: 10.1007/s11633-013-0725-x
    [15] Mohamed Boukattaya, Tarak Damak, Mohamed Jallouli. Robust Adaptive Control for Mobile Manipulators . International Journal of Automation and Computing, 2011, 8(1): 8-13.  doi: 10.1007/s11633-010-0548-y
    [16] Ming-Yue Zhao, He-Ping Liu, Zhi-Jun Li, De-Hui Sun. Fault Tolerant Control for Networked Control Systems with Packet Loss and Time Delay . International Journal of Automation and Computing, 2011, 8(2): 244-253.  doi: 10.1007/s11633-011-0579-z
    [17] Fei Li, Hua-Long Xie. Sliding Mode Variable Structure Control for Visual Servoing System . International Journal of Automation and Computing, 2010, 7(3): 317-323.  doi: 10.1007/s11633-010-0509-5
    [18] Jun Ren,  Chun-Wen Li,  De-Zong Zhao. CAN-based Synchronized Motion Control for Induction Motors . International Journal of Automation and Computing, 2009, 6(1): 55-61.  doi: 10.1007/s11633-009-0055-1
    [19] B. Bandyopadhyay, Alemayehu G/Egziabher Abera, S. Janardhanan, Victor Sreeram. Sliding Mode Control Design via Reduced Order Model Approach . International Journal of Automation and Computing, 2007, 4(4): 329-334.  doi: 10.1007/s11633-007-0329-4
    [20] Modeling and Control of Hybrid Machine Systems - a Five-bar Mechanism Case . International Journal of Automation and Computing, 2006, 3(3): 235-243.  doi: 10.1007/s11633-006-0235-1
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Abstract Views (6158) PDF downloads (4556) Citations (0)

Adaptive Type-2 Fuzzy Sliding Mode Controller for SISO Nonlinear Systems Subject to Actuator Faults

  • Corresponding author: Najib Essounbouli
Fund Project:

This work was supported by Region of Champagne Ardenne and European Regional Development Fund CPER-MOSYP.

Abstract: In this paper, an adaptive type-2 fuzzy sliding mode control to tolerate actuator faults of unknown nonlinear systems with external disturbances is presented. Based on a redundant actuation structure, a novel type-2 adaptive fuzzy fault tolerant control scheme is proposed using sliding mode control. Two adaptive type-2 fuzzy logic systems are used to approximate the unknown functions, whose adaptation laws are deduced from the stability analysis. The proposed approach allows to ensure good tracking performance despite the presence of actuator failures and external disturbances, as illustrated through a simulation example.

Meriem Benbrahim, Najib Essounbouli, Abdelaziz Hamzaoui and Ammar Betta. Adaptive Type-2 Fuzzy Sliding Mode Controller for SISO Nonlinear Systems Subject to Actuator Faults. International Journal of Automation and Computing, vol. 10, no. 4, pp. 335-342, 2013. doi: 10.1007/s11633-013-0729-6
Citation: Meriem Benbrahim, Najib Essounbouli, Abdelaziz Hamzaoui and Ammar Betta. Adaptive Type-2 Fuzzy Sliding Mode Controller for SISO Nonlinear Systems Subject to Actuator Faults. International Journal of Automation and Computing, vol. 10, no. 4, pp. 335-342, 2013. doi: 10.1007/s11633-013-0729-6
Reference (40)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return