A Novel Scheme for Actuator Fault Tolerant Controller Design based on the Fault Identification

Authors

1 Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

2 Faculty of Engineering, Shahrekord University, Shahrekord, Iran

Abstract

In this paper, a novel scheme for the design of the actuator fault-tolerant controller based on the fault identification in the linear systems has been presented. Fault identification has been proposed for the fault detection, determination of the faulty actuator (fault isolation) and estimation of the fault uncertain dynamics. For fault detection, a diagnostic observer has been designed for monitoring the condition of the system at every instance and generating the residual signal. After detecting the fault, the fault isolation module composed of a bank of observers has been activated to determine the faulty actuator. After determining the faulty actuator, estimation of the fault uncertain dynamics has been achieved by solving a linear matrix inequality. Then, a fault-tolerant controller has been proposed using the output of the fault identification module. The proposed scheme ensures the boundedness of the signals of the closed-loop system in the presence of the fault and satisfies the tracking objective. Simulation and comparison results were presented for verifying the effectiveness and performance of the proposed approach.

Keywords


[1] Q. Hu and B. Xiao, “Adaptive fault tolerant control using integral sliding mode strategy with application to flexible space craft,”  Internation Journal of Systems Science, vol. 44, no. 12, pp. 2273-2286, 2013.
[2] Q. Shen, D. Wang, S. Zhu and E.K. Poh, “Integral-type sliding mode fault-tolerant control for attitude stabilization of spacecraft,” IEEE Transactions on Control Systems Technology, vol. 23, no. 3, pp. 1131-1138, 2015.
[3]  مرتضی خرمی کشکولی و مریم دهقانی، «تشخیص، شناسایی و جداسازی عیب توربین گاز پالایشگاه دوم پارس جنوبی با استفاده از روش‌های ترکیبی داده کاوی، k-means ، تحلیل مؤلفه‌های اصلی و ماشین بردار پشتیبان»، مجله مهندسی برق دانشگاه تبریز، دوره 47، شماره 2، صفحه 515-501، تابستان 96.
[4] M. Blanke, M. Kinnaert, J. Lunze and M. Staroswiecki, Diagnosis and Fault-Tolerant Control: Springer Berlin Heidelberg, 2006.
[5] M. S. Mahmoud and Y. Xia, Analysis and synthesis of fault tolerant control systems, wiley, 2014.  
[6] J.D. Boskovic and R.K. Mehra,  “Intelligent adaptive control of a tailless advanced fighter aircraft under wing damage,” Journal of Guidance, Control and Dynamics, vol. 23, no. 5,  pp. 876-884, 2000.
[7] J.D. Boskovic and R.K. Mehra, “Multiple-model adaptive flight vomtrol scheme for accommodation of actuator failures,” Journal of Guidance, Control and Dynamics, vol. 25, no. 4,  pp. 712-724, 2002.
[8] G.G. Yen and H. Liang-Wei, “Online multiple-model-based fault diagnosis and accommodation,” IEEE Transactions on Industrial Electronics, vol. 50, no. 2, pp. 296-312, 2003.
[9] M. Gholami, V. Cocquempot, H. Schiøler and T. Bak, “Active fault tolerant control of piecewise affine systems with reference tracking and input constraints,” International Journal of Adaptive Control and Signal Processing, vol. 28, no. 11, pp. 1240-1265, 2014.
[10] H.H.N. Wu and H.Y. Zhang, “Reliable H∞ fuzzy control for continuouse-time nonlinear systems with actuator failures,” IEEE Transactions on Fuzzy Systems, vol. 14, no. 5, pp. 609618, 2006.
[11] S. L. Dai and J. Zhao, “Reliable H controller design for a class of uncertain linear systems with actuator failures,” International Journal of Control, Automation, and Systems, vol. 6, no. 6, pp. 954-959, 2008.
[12]  مریم کازرونی، علیرضا خیاطیان و سید علی‌اکبر صفوی، «کنترل غیرمتمرکز Hتحمل‌پذیر عیب بر اساس مشاهده‌گر برای سیستم‌های غیرخطی به هم متصل شامل تأخیر زمانی»، مجله مهندسی برق دانشگاه تبریز، دوره 47، شماره 2، صفحه 663-653، تابستان 96.
[13] Y. Zhang and J. Jiang, “Bibliographical review on reconfigurable fault-tolerant control systems,” Annual Reviews in Control, vol. 32, no. 2,  pp. 229-252, 2008.
[14] X. Jin and G.H. Yang, “Robust adaptive fault-tolerant compensation control with actuator failures and bounded disturbances,” Acta Automatica Sinica., vol. 35, no. 3, pp. 305-309, 2009.
[15] L.Y. Wen, G. Tao and H. Yang, “LQ control based actuator failure compensation,” Optimal Control Applications and Methods, vol. 37, no. 2, pp. 227-247, 2016.
[16] W. Chen and M. Saif, “Adaptive actuator fault detection, isolation and accomodation in uncertain systems,” International Journal of  Control, vol. 80, no. 1, pp. 45-63, 2007.
[17] H. Fan, B. Liu, Y. Shen and W. Wang, “Adaptive failure compensation control for uncertain systems with stochastic actuator failures,”  IEEE Transactions on Automatic Control, vol. 59, no. 3, pp. 808-815, 2014.
[18] X. Yao, G, Tao, Y, Ma and R. Qi, “Adaptive actuator failure compensation design for spacecraft attitude control,” IEEE Transactions on Aerospace and Electronic Systems, vol. 52, no. 3, pp. 1021-1034, 2016.
[19] W. Wang and C. Wen “Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance,” Automatica, vol. 46, no. 12, pp. 2082-2091, 2010.
[20] X.-J. Li and G.-H. Yang, “ Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures,” IET Control Theory and Applications, vol. 6, no. 10, pp. 1544–1551, 2012.
[21] M. Kamali, J. Askari and F. Sheikholeslam, “An output-feedback adaptive actuator failure compensation for systems with unknown state delays,”  Nonlinear Dynamics, vol. 67, no. 4, pp. 2397-2410, 2011.
[22] G. Tao, Q. Ruiyun and T. Chang, “A parameter estimation based adaptive actuator failure compensation control scheme,”  Journal of Systems Engineering and Electronics, vol. 22, no. 1, pp. 1-11, 2011.
[23] Z.Q. Wu, Y. Yang and C.H. Xu “Adaptive fault diagnosis and active tolerant control for wind energy conversion system,” International Journal of Control, Automation, and Systems, vol. 13, Issue 1, pp. 120–125, 2015.
[24] W. Wang and C. Wen, “adaptive failure compensation for uncertaine systems with multiple inputs,” Journal of Systems Engineering and Electronics, vol. 22, no. 1, pp.70-76, 2011.
[25] G. Tao, “Direct Adaptive Actuator Failure Compensation Control :A tutorial,”  Journal of Control and Decision, vol. 1, no. 1, pp. 75-101, 2014.
[26] L-B. Wu, G-H. Yang and D. Ye, “Robust adaptive fault-tolerant control for linear systems with actuator failures and mismatched parameter uncertainties,” IET Control Theory and Applications, vol. 8, no. 6, pp. 441–449. 2014.
[27] M. Shahriari-kahkeshi, F. Sheikholeslam and J. Askari, “Adaptive fault detection and estimation scheme for a class of uncertain nonlinear systems,” Nonlinear Dynamics, vol. 79, no. 4, pp. 2623-2637, 2015.
[28] B. Jiang, M. Staroswiecki and V. Cocquempot, “Fault accommodation for nonlinear dynamic systems,” IEEE Transactions on Automatic Control, vol. 51, no. 9,  pp. 1578-1583, 2006.
[29] P.M. Frank, “Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-a survey and som new results,” Automatica, vol. 26, no. 3, pp. 459-474, 1990.
[30] K. Zhang, B. Jiang and V. Cocquempot, “Adaptive Observer-based Fast Fault Estimation,” International Journal of Control, Automation, and Systems, vol. 6, no. 3, pp. 320-326, 2008.
[31] W. Chen and J. Jiang, “Fault-tolerant control against stuck actuator faults,” IEE Proc. Control Theory and Applications., vol. 125, no. 2, pp. 138-146, 2005.