Abstract
In this paper, an actuator fault tolerant control (FTC) has been designed using dynamic sliding mode control (DSMC) for single input nonlinear systems which are affected from uncertainty. In DSMC the switching of input control signal is removed due to the integrator which is placed before the input control signal of the plant hence, its result is reducing of chattering. However, in DSMC the augmented system (the system plus the integrator) is one dimension bigger than the actual system and then, the plant model should be completely known. To overcome on this problem, an adaptive fuzzy observer (AFO) has been proposed. Finally, we show the combination result of DSMC and AFO is the compensation of the fault by input control signal of the plant, while the performance and robustness of the closed loop system are reserved. The main property of the proposed approach is its simplicity and we only use system output for FTC and moreover, the fault diagnosis (detection, isolation and reconstruction) is done at the same time. The upper bound of the uncertainty is not used in DSMC and AFO, which is important in practical implementation. Simulation results show the advantages of the proposed approach.
Similar content being viewed by others
References
H. Alwi, C. Edwards, and C. P. Tan, Fault Detection and Fault-tolerant Control Using Sliding Modes, Springer Science & Business Media, 2011.
C. P. Tan and C. Edwards, “Sliding mode observers for detection and reconstruction of sensor faults,” Automatica, vol. 38, no. 10, pp. 1815–1821, 2002. [click]
X.-G. Yan and C. Edwards, “Nonlinear robust fault reconstruction and estimation using a sliding mode observer,” Automatica, vol. 43, no. 9, pp. 1605–1614, 2007. [click]
K. B. Goh, S. K. Spurgeon, and N. B. Jones, “Fault diagnostics using sliding mode techniques,” Control Engineering Practice, vol. 10, no. 2, pp. 207–217, 2002. [click]
J. Yang, F. Zhu, X. Wang, and X. Bu, “Robust sliding-mode observer-based sensor fault estimation, actuator fault detection and isolation for uncertain nonlinear systems,” International Journal of Control, Automation and Systems, vol. 13, no. 5, pp. 1037–1046, 2015. [click]
Y. Ren and D.-W. Ding, “Integrated fault detection and control for two-dimensional roesser systems,” International Journal of Control, Automation and Systems, vol. 15, no. 2, pp. 722–731, 2017. [click]
R. Isermann, “Model-based fault-detection and diagnosisstatus and applications,” Annual Reviews in control, vol. 29, no. 1, pp. 71–85, 2005. [click]
H. Alwi, C. Edwards, and A. Marcos, “Fault reconstruction using a lpv sliding mode observer for a class of lpv systems,” Journal of the Franklin Institute, vol. 349, no. 2, pp. 510–530, 2012. [click]
B. Yan, Z. Tian, S. Shi, and Z. Weng, “Fault diagnosis for a class of nonlinear systems via eso,” ISA transactions, vol. 47, no. 4, pp. 386–394, 2008.
Y. Zhang and J. Jiang, “Active fault-tolerant control system against partial actuator failures,” IEE proceedings-Control Theory and Applications, vol. 149, no. 1, pp. 95–104, 2002. [click]
X.-J. Li and G.-H. Yang, “Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures,” IET Control Theory & Applications, vol. 6, no. 10, pp. 1544–1551, 2012. [click]
X. Zhang, T. Parisini, and M. M. Polycarpou, “Adaptive fault-tolerant control of nonlinear uncertain systems: an information-based diagnostic approach,” IEEE Transactions on Automatic Control, vol. 49, no. 8, pp. 1259–1274, 2004. [click]
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. [click]
R. Kabore and H. Wang, “Design of fault diagnosis filters and fault-tolerant control for a class of nonlinear systems,” IEEE transactions on Automatic Control, vol. 46, no. 11, pp. 1805–1810, 2001. [click]
N. Eva Wu, Y. Zhang, and K. Zhou, “Detection, estimation, and accommodation of loss of control effectiveness,” International Journal of Adaptive Control and Signal Processing, vol. 14, no. 7, pp. 775–795, 2000. [click]
H. Li, P. Shi, and D. Yao, “Adaptive sliding-mode control of markov jump nonlinear systems with actuator faults,” IEEE Transactions on Automatic Control, vol. 62, no. 4, pp. 1933–1939, 2017. [click]
A. Fekih, “Fault-tolerant flight control design for effective and reliable aircraft systems,” Journal of Control and Decision, vol. 1, no. 4, pp. 299–316, 2014. [click]
C. P. Tan and C. Edwards, “Sliding mode observers for robust detection and reconstruction of actuator and sensor faults,” International Journal of Robust and Nonlinear Control, vol. 13, no. 5, pp. 443–463, 2003. [click]
S. Barghandan, M. A. Badamchizadeh, and M. R. Jahed-Motlagh, “Improved adaptive fuzzy sliding mode controller for robust fault tolerant of a quadrotor,” International Journal of Control, Automation and Systems, vol. 15, no. 1, pp. 427–441, 2017. [click]
J. Yang, F. Zhu, X. Wang, and X. Bu, “Robust sliding-mode observer-based sensor fault estimation, actuator fault detection and isolation for uncertain nonlinear systems,” International Journal of Control, Automation and Systems, vol. 13, no. 5, pp. 1037–1046, 2015. [click]
A. Karami-Mollaee, N. Pariz, and H. Shanechi, “Position control of servomotors using neural dynamic sliding mode,” Journal of Dynamic Systems, Measurement, and Control, vol. 133, no. 6, p. 061014, 2011.
H. Lee and V. I. Utkin, “Chattering suppression methods in sliding mode control systems,” Annual Reviews in Control, vol. 31, no. 2, pp. 179–188, 2007. [click]
W. Perruquetti and J.-P. Barbot, Sliding Mode Control in Engineering, CRC Press, 2002.
A. Levant, “Chattering analysis,” IEEE Transactions on Automatic Control, vol. 55, no. 6, pp. 1380–1389, 2010. [click]
H. Li, P. Shi, D. Yao, and L. Wu, “Observer-based adaptive sliding mode control for nonlinear markovian jump systems,” Automatica, vol. 64, pp. 133–142, 2016. [click]
H. Li, J. Wang, and P. Shi, “Output-feedback based sliding mode control for fuzzy systems with actuator saturation,” IEEE Transactions on Fuzzy Systems, vol. 24, no. 6, pp. 1282–1293, 2016. [click]
H. Li, J. Wang, H.-K. Lam, Q. Zhou, and H. Du, “Adaptive sliding mode control for interval type-2 fuzzy systems,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 46, no. 12, pp. 1654–1663, 2016. [click]
J. Hang, J. Zhang, and M. Cheng, “Application of multiclass fuzzy support vector machine classifier for fault diagnosis of wind turbine,” Fuzzy Sets and Systems, vol. 297, pp. 128–140, 2016. [click]
D. Zhai, L. An, J. Li, and Q. Zhang, Adaptive fuzzy faulttolerant control with guaranteed tracking performance for nonlinear strict-feedback systems, Fuzzy Sets and Systems, vol. 302, pp. 82–100, 2016. [click]
P. Ansari-Bonab, A. Karami-Mollaee, and M. A. Sadrnia, “Adaptive fuzzy dynamic sliding mode control based ltr observer for fault reconstruction,” Proc. of 13th Iranian Conference on Fuzzy Systems (IFSC), IEEE, pp. 1–5, 2013.
K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, John Wiley & Sons, 2004.
J.-J. E. Slotine and W. Li, Applied Nonlinear Control, vol. 199, Prentice-Hall, Englewood Cliffs, NJ, 1991.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Hongyi Li under the direction of Editor Euntai Kim
Ali Karami-Mollaee received his B.Sc degree in Electrical Engineering from Ferdowsi University in 2002 and an M.Sc in Control Engineering from Tarbiyat Modares University in 2005 and a Ph.D. degree in Control Engineering from Ferdowsi University in 2010. His research interests include nonlinear control, adaptive control, and system identification. At Present he is assistant professor in Hakim Sabzevari University, Iran.
Hamed Tirandaz received the B.Sc degree in Applied Mathematics from the Hakim Sabzevari University, Sabzevar, Iran, in 2006, and his Ph.D. degree in Mechatronics Engineering from Semnan University, Semnan, Iran, in 2009. He is been working as a Lecturer at Hakim Sabzevari University since 2010. His research interests include mainly chaos, nonlinear dynamics and fault control.
Rights and permissions
About this article
Cite this article
Karami-Mollaee, A., Tirandaz, H. Adaptive Fuzzy Fault Tolerant Control Using Dynamic Sliding Mode. Int. J. Control Autom. Syst. 16, 360–367 (2018). https://doi.org/10.1007/s12555-017-0066-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-017-0066-6