Observer-based Sensor Fault Tolerant Control with Prescribed Tracking Performance for a Class of Nonlinear Systems

Adaptive Sliding Mode Observer; Australia; Barrier Lyapunov Function; Constrained Control; Estimation error; Nonlinear systems; Observers; Optimization; Prescribed Performance Bound; Robot sensing systems; Sensor Fault; Tracking Control; Trajectory; Adaptive sliding-mode observers; Barrier lyapunov function; Constrained controls; Estimation errors; Lyapunov's functions; Observer; Optimisations; Prescribed performance bounds; Robot sensing system; Sensors faults; Tracking controls; Control and Systems Engineering; Computer Science Applications; Electrical and Electronic Engineering

Abstract :

[en] In this note, a robust output feedback Fault-Tolerant Control (FTC) for a high-performance tracking problem of a Lipschitz nonlinear system under simultaneous sensor fault and disturbance is developed. The proposed scheme includes the design of an adaptive sliding mode observer which recovers the separation principle. A tangent-type barrier Lyapunov function is incorporated in the backstepping framework to maintain the system states in a prescribed performance bound. Moreover, the unknown estimation error is taken into account. Furthermore, the bounded initial condition assumption is relaxed by defining a time variable bound. The effectiveness of the proposed solution is numerically examined on a DC motor model.

Disciplines :

Electrical & electronics engineering

Author, co-author :

HABIBI, Hamed ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Automation

Yazdani, Amirmehdi ; Murdoch University, WA 6150, Australia > School of Engineering and Energy > Senior Lecturer

Darouach, Mohamed ; Université de Lorraine, CRAN-CNRS UMR 7039, IUT de Longwy, 186 rue de Lorraine, 54400 Cosnes et Romain, France.

Wang, Hai ; School of Engineering and Energy, Murdoch University, WA 6150, Australia

Fernando, Tyrone ; School of Electrical, Electronic and Computer Engineering, the University of Western Australia, WA, Australia

Howard, Ian; School of Civil and Mechanical Engineering, Curtin University, WA, Australia

External co-authors :

yes

Language :

English

Title :

Observer-based Sensor Fault Tolerant Control with Prescribed Tracking Performance for a Class of Nonlinear Systems

Publication date :

2023

Journal title :

IEEE Transactions on Automatic Control

ISSN :

0018-9286

Publisher :

Institute of Electrical and Electronics Engineers Inc.

Pages :

1-8

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://xplorestaging.ieee.org/ielx7/9/4601496/10185588.pdf?arnumber=10185588

Data Set :

10.1109/TAC.2023.3296494

Available on ORBilu :

since 25 December 2023

Statistics

Number of views

23 (3 by Unilu)

Number of downloads

75 (7 by Unilu)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenAlex citations

Bibliography

J.-X. Zhang and G.-H. Yang, "Prescribed performance fault-tolerant control of uncertain nonlinear systemswith unknowncontrol directions," IEEE Trans. Autom. Control, vol. 62, no. 12, pp. 6529-6535, Dec. 2017.
H. Habibi, H. R. Nohooji, and I. Howard, "Backstepping Nussbaum gain dynamic surface control for a class of input and state constrained systems with actuator faults," Inf. Sci., vol. 482, pp. 27-46, 2019.
H. Li, S. Zhao, W. He, and R. Lu, "Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone," Automatica, vol. 100, pp. 99-107, 2019.
Y. J. Liu and S. Tong, "Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems," Automatica, vol. 76, pp. 143-152, 2017.
K. Zhao, Y. Song, and Z. Shen, "Neuroadaptive fault-tolerant control of nonlinear systems under output constraints and actuation faults," IEEE Trans. Neural Networks Learn. Syst., vol. 29, no. 2, pp. 286-298, Feb. 2018.
D. Zhai, L. An, J. Li, and Q. Zhang, "Adaptive fuzzy fault-tolerant controlwith guaranteed tracking performance for nonlinear strict-feedback systems," Fuzzy Sets Syst., vol. 302, pp. 82-100, 2016.
L.-B. Wu, J. H. Park, and N.-N. Zhao, "Robust adaptive fault-tolerant tracking control for nonaffine stochastic nonlinear systems with fullstate constraints," IEEE Trans. Cybern., vol. 50, no. 8, pp. 3793-3805, Aug. 2020.
J. Lan and R. J. Patton, "A decoupling approach to integrated fault-tolerant control for linear systems with unmatched non-differentiable faults," Automatica, vol. 89, pp. 290-299, 2018.
X.Wang, C. P. Tan, and D. Zhou, "A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions," Automatica, vol. 79, pp. 290-295, 2017.
T. Wang, H. Gao, and J. Qiu, "A combined fault-tolerant and predictive control for network-based industrial processes," IEEE Trans. Ind. Electron., vol. 63, no. 4, pp. 2529-2536, Apr. 2016.
Y. Li, Z. Ma, and S. Tong, "Adaptive fuzzy fault-tolerant control of nontriangular structure nonlinear systems with error constraint," IEEE Trans. Fuzzy Syst., vol. 26, no. 4, pp. 2062-2074, Aug. 2018.
Z. Gao, X. Liu, and M. Z. Q. Chen, "Unknown input observer-based robust fault estimation for systems corrupted by partially decoupled disturbances," IEEE Trans. Ind. Electron., vol. 63, no. 4, pp. 2537-2547, Apr. 2016.
C. Edwards and C. P. Tan, "Sensor fault tolerant control using sliding mode observers," Control Eng. Pract., vol. 14, no. 8, pp. 897-908, 2006.
Y. D. Song, Y. Lu, and Z. X. Gan, "Descriptor sliding mode approach for fault/noise reconstruction and fault-tolerant control of nonlinear uncertain systems," Inf. Sci., vol. 367, pp. 194-208, 2016.
S. Yin, H. Gao, J. Qiu, and O. Kaynak, "Descriptor reduced-order sliding mode observers design for switched systems with sensor and actuator faults," Automatica, vol. 76, pp. 282-292, 2017.
R. Franco, H. Ríos, D. Efimov, and W. Perruquetti, "Adaptive estimation for uncertain nonlinear systems with measurement noise: A sliding-mode observer approach," Int. J. Robust Nonlinear Control, vol. 31, no. 9, pp. 3809-3826, 2021.
A. F. De Loza, J. Cieslak, D. Henry, A. Zolghadri, and L. M. Fridman, "Output tracking of systems subjected to perturbations and a class of actuator faults based on HOSM observation and identification," Automatica, vol. 59, pp. 200-205, 2015.
B. Jiang, M. Staroswiecki, and V. Cocquempot, "Fault accommodation for nonlinear dynamic systems," IEEE Trans. Autom. Control, vol. 51, no. 9, pp. 1578-1583, Sep. 2006.
A. F. De Loza, J. Cieslak, D. Henry, J. Dávila, and A. Zolghadri, "Sensor fault diagnosis using a non-homogeneous high-order sliding mode observer with application to a transport aircraft," IET Control Theory Appl., vol. 9, no. 4, pp. 598-607, 2015.
H. Alwi, C. Edwards, and C. P. Tan, Fault Detection and Fault-Tolerant Control Using Sliding Modes. Berlin, Germany: Springer-Verlag, 2011.
C. P. Tan and M. K. Habib, "The development of a fault-tolerant control approach and its implementation on a flexible arm robot," Adv. Robot., vol. 21, no. 8, pp. 887-904, 2007.
Z.-J. Jia and Y.-D. Song, "Barrier function-based neural adaptive control with locally weighted learning and finite neuron self-growing strategy," IEEE Trans. Neural Networks Learn. Syst., vol. 28, no. 6, pp. 1439-1451, Jun. 2017.
M. Darouach, "Observers and observer-based control for descriptor systems revisited," IEEE Trans.Autom.Control, vol. 59, no. 5, pp. 1367-1373, May 2014.
H. K. Khalil and J.W. Grizzle, Nonlinear Systems. Englewood Cliffs, NJ, USA: Prentice-Hall, 2002.
A. Polyakov, "Nonlinear feedback design for fixed-time stabilization of linear control systems," IEEE Trans. Autom. Control, vol. 57, no. 8, pp. 2106-2110, Aug. 2012.
Y. V. Orlov, Discontinuous Systems: Lyapunov Analysis and Robust Synthesis Under Uncertainty Conditions. Berlin, Germany: Springer-Verlag, 2008.
A. F. Filippov, Differential Equations With Discontinuous Righthand Sides: Control Systems. Berlin, Germany: Springer-Verlag, 2013.
A. N. Atassi and H. K. Khalil, "A separation principle for the stabilization of a class of nonlinear systems," IEEE Trans. Autom. Control, vol. 44, no. 9, pp. 1672-1687, Sep. 1999.
Y. Song, Z. Shen, L. He, and X. Huang, "Neuroadaptive control of strict feedback systems with full-state constraints and unknown actuation characteristics: An inexpensive solution," IEEE Trans. Cybern., vol. 48, no. 11, pp. 3126-3134, Nov. 2018.
Z. Chen, Z. Li, and C. L. P. Chen, "Adaptive neural control of uncertain MIMO nonlinear systems with state and input constraints," IEEE Trans. Neural Networks Learn. Syst., vol. 28, no. 6, pp. 1318-1330, Jun. 2017.