Abstract
The problem of distributed adaptive fault tolerant control is investigated for nonlinear multi-agent systems with sensor faults in this paper. By utilizing radial basis function neural networks to approximate the unknown continuous nonlinear functions, a distributed-observer-based adaptive neural networks scheme is proposed to estimate each node state, which is unmeasured in the system. Then, a kind of distributed adaptive controller is proposed for each follower based on the sliding mode design technique and fault tolerant control technique. Based on graph and Lyapunov stability theory, it is proved that the tracking errors converge to a small neighborhood of the origin with all signals in the closed-loop system being bounded. Finally, simulation results are given to demonstrate the effectiveness of the control scheme proposed in this paper.
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P. Shi, J. Zhou, D. Gan, and Z. Wang, “A rational fractional representation method for wind power integrated power system parametric stability analysis,” IEEE Trans. on Power Systems, vol. 33, no. 6, pp. 7122–7131, November 2018.
F. Y. Wang, Z. X. Liu, and Z. Q. Chen, “A novel leader-following consensus of multi-agent systems with smart leader,” International Journal of Control Automation and Systems vol. 16, no. 4, pp. 1483–1492, August 2018.
S. Z. Yu, H. J. Jiang, Z. Y Yu, and C. Hu, “Consensus of multi-agent systems with feedforward nonlinear dynamics and digraph,” International Journal of Control Automation and Systems, vol. 16, no. 4, pp. 1512–1520, August 2018.
C. Ge, J. H. Park, C. C. Hua, and X. P. Guan “Nonfragile consensus of multiagent systems based on memory sampled-data control,” IEEE Trans. on Systems, Man, and Cybernetics: Systems, 2018. DOI: 10.1109/TSMC.2018.2874305
Q. K. Shen, P. Shi, J. W. Zhu, and L. P. Zhang, “Adaptive consensus control of leader-following systems with transmission nonlinearities,” International Journal of Control, vol. 92, no. 2, pp. 317–328, February 2019.
Q. K. Shen, P. Shi, “Observer-based leader-following consensus of uncertain nonlinear multi-agent systems,” International Journal of Robust and Nonlinear Control, vol. 27, no. 17, pp. 3794–3811, November 2017.
Q. K. Shen, P. Shi, S. Y Wang, and Y. Shi, “Fuzzy adaptive control of a class of nonlinear systems with unmodeled dynamics,” International Journal of Adaptive Control and Signal Processing, vol. 33, no. 4, pp. 712–730, April 2019.
Y. F. Li, C. C. Hua, G. P. Liu, and X. P. Guan “Adaptive state feedback control for switched stochastic high-order nonlinear systems under arbitrary switchings,” International Journal of Robust and Nonlinear Control, vol. 28, no. 6, pp. 2047–2063, April 2018.
Q. K. Shen, P. Shi, J. W. Zhu, S. Y. Wang, and Y. Shi, “Neural networks-based distributed adaptive control of nonlinear multiagent systems,” IEEE Trans. on Neural Networks and Learning Systems, 2019. DOI: 10.1109/TNNLS.2019.2915376
S. C. Tong and Y. M. Li, “Observer-based fuzzy adaptive control for strict-feedback nonlinear systems,” Fuzzy Sets and Systems, vol. 160, no. 12, pp. 1749–1764, June 2009.
S. C. Tong, S. Sui, and Y. M. Li, “Observed-based adaptive fuzzy tracking control for switched nonlinear systems with dead-zone,” IEEE Trans. on Cybernetics, vol. 45, no. 12, pp. 2816–2826, December 2015.
W. S. Chen and J. M. Li, “Decentralized output-feedback neural control for systems with unknown interconnections,” IEEE Trans. on Systems, Man, and Cybernetics, Part B, vol. 38, no. 1, pp. 258–266, February 2008.
Q. K. Shen, B. Jiang, and V. Cocquempot, “Fault-tolerant control for T-S fuzzy systems with application to near-space hypersonic vehicle with actuator faults,” IEEE Trans. on Fuzzy Systems, vol. 20, no. 4, pp. 652–665, August 2012.
J.-Y. Gong, B. Jiang, and Q.-K. Shen, “Adaptive fault-tolerant neural control for large-scale systems with actuator faults,” International Journal of Control Automation and Systems, vol. 17, no. 6, pp. 1421–1431, June 2019.
H. Yang, H. Li, B. Jiang, V. Cocquempot, “Fault tolerant control of switched systems: a generalized separation principle,” IEEE Trans. on Control Systems Technology, vol. 27, no. 2, pp. 553–565, March 2019.
X. Z. Jin, S. Y. Lü, J. H. Qin, and W. X. Zheng, “Auxiliary constrained control of a class of fault-tolerant systems,” IEEE Trans. on Systems, Man and Cybernetics: Systems, 2019. DOI: 10.1109/TSMC.2019.2911269
X. Z. Jin, S. F. Wang, J. H. Qin, W. X. Zheng, and Y. Kang, “Adaptive fault-tolerant consensus for a class of uncertain nonlinear second-order multi-agent systems with circuit implementation,” IEEE Trans. on Circuits and Systems-I: Regular Papers, vol. 65, no. 7, pp. 2243–2255, July 2018.
M. E. Dehshaliea, M. B. Menhaj, and M. Karrari, “Fault tolerant cooperative control for affine multi-agent systems: An optimal control approach,” IEEE Journal of the Franklin Institute, vol. 356, no. 3, pp. 1360–1378, February, 2019.
S. Yazdani and M. Haeri, “Robust adaptive fault-tolerant control for leader-follower flocking of uncertain multi-agent systems with actuator failure,” ISA Transactions, vol. 71, pp. 227–234, November 2017.
H. M. Jiao, M. Shi, Q. K. Shen, J. W. Zhu, and P. Shi, “Filter design with adaptation to time-delay parameters for genetic regulatory networks,” IEEE/ACM Trans. on Computational Biology and Bioinformatics, vol. 15, no. 1, pp. 323–329, February 2018.
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Recommended by Editor Jessie (Ju H.) Park. This work was supported by the National Natural Science Foundation of China (61873229, 61773201).
Jianye Gong received his B.S. degree in Electrical Engineering and Automation from Applied Technology College of Soochow University, Suzhou, China, in 2016. He is currently pursuing M.S. degree in Control Engineering at Yangzhou University. His research interests include adaptive control, fault-tolerant control, and distributed control.
Bin Jiang received his Ph.D. degree in Automatic Control from Northeastern University, Shenyang, China, in 1995. He had been a postdoctoral fellow, a research fellow, an invited professor and a visiting professor in Singapore, France, USA and Canada, respectively. Now he is a Chair Professor of Cheung Kong Scholar Program in Ministry of Education and Vice President of Nanjing University of Aeronautics and Astronautics, China. He serves as Associate Editor or Editorial Board Member for a number of journals such as IEEE Trans. On Control Systems Technology; International Journal Of Control, Automation and Systems; Neurocomputing; Journal of Astronautics; Control and Decision, Systems Engineering and Electronics Technologies, etc. He is a senior member of IEEE, Chair of Control Systems Chapter in IEEE Nanjing Section, a member of IFAC Technical Committee on Fault Detection, Supervision, and Safety of Technical Processes. His research interests include fault diagnosis and fault tolerant control and their applications to helicopters, satellites and high-speed trains. He has been the principle investigator on several projects of National Natural Science Foundation of China. He is the author of 8 books and over 200 referred international journal papers and conference papers. He won the Second Class Prize of National Natural Science Award of China in 2018.
Qikun Shen received his B.Sc. degree in computer science and applications from the Chinese University of Mining and Technology, Xuzhou, China, in 1996, an M.Sc. degree in computer science and applications from Yangzhou University, Yangzhou, China, in 2007, and a Ph.D. degree in control theorem and control applications from the College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2015. He is currently a Professor with the College of Information Engineering, Yangzhou University. His current research interests include distributed control, consensus control, fault-tolerant control, adaptive control, fuzzy control, neural networks-based control, and intelligent control.
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Gong, J., Jiang, B. & Shen, Q. Distributed-observer-based Fault Tolerant Control Design for Nonlinear Multi-agent Systems. Int. J. Control Autom. Syst. 17, 3149–3157 (2019). https://doi.org/10.1007/s12555-019-9216-3
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DOI: https://doi.org/10.1007/s12555-019-9216-3