Design of Distributed Consensus Controller for Leader-Follower Singular Multi-Agent Systems in the Presence of Sensor Fault
Subject Areas : ICTSaeid Poormirzaee 1 , Hamidreza Ahmadzadeh 2 , masoud Shafiee 3
1 - Amirkabir University of Technology
2 - Amirkabir University of Technology
3 - Amirkabir University of Technology
Keywords: Multi-agent systems, Singular systems, Sensor fault estimation, Distributed Fault-tolerant Control.,
Abstract :
In this paper, the problem of sensor fault estimation and designing of a distributed fault-tolerant controller is investigated to guarantee the leader-follower consensus for homogeneous singular multi-agent systems for the first time. First, a novel augmented model for the system is proposed. It is shown that the proposed model is regular and impulse-free unlike some similar research works. Based on this model, the state and sensor fault of the system are simultaneously estimated by designing a distributed singular observer. The proposed observer also has the ability to estimate time-varying sensor fault. Then, a distributed controller is designed to guarantee the leader-follower consensus using estimation of state and sensor fault. The sufficeient conditions to ensure the stability of the observer dynamic and consensus dynamic are drived in terms of linear matrix inequalities (LMIs). The gains of observer and controller are computed by solving these conditions with MATLAB software. Finally, the validation and efficiency of the proposed control system for the leader-follower consensus of singular multi-agent systems exposed to sensor faults is illustrated by computer simulations. The simulation results show that the propsed control strategy deeling to the sensor falut in the singular multi-agent systems is effective.
منابع و مأخذ
A. A. Belov, O. G. Andrianova, and A. P. Kurdyukov, "Control of discrete-time descriptor systems," Cham: Springer International Publishing, 2018.
P. Stechlinski, M. Patrascu, and P. I. Barton, "Nonsmooth differential-algebraic equations in chemical engineering," Computers & Chemical Engineering, vol. 114, pp. 52-68, 2018.
M. De la Sen, A. Ibeas, and S. Alonso Quesada, "On the Reachability of a Feedback Controlled Leontief-Type Singular Model Involving Scheduled Production, Recycling and Non Renewable Resources," Mathematics, vol. 9, p. 2175, 2021.
T. Kaczorek, "Singular fractional linear systems and electrical circuits," 2011.
I. Zamani, M. Shafiee, and A. Ibeas, "Switched nonlinear singular systems with time ‐ delay: Stability analysis," International Journal of Robust and Nonlinear Control, vol. 25, pp. 1497- 1513, 2015.
G.-R. Duan, Analysis and design of descriptor linear systems vol. 23: Springer Science & Business Media, 2010.
E. Arefinia, H. A. Talebi, and A. Doustmohammadi, "A robust adaptive observer for a class of singular nonlinear uncertain systems," International Journal of Systems Science, vol. 48, pp. 1404- 1415, 2017.
M. Davoodi, N. Meskin, and K. Khorasani, "Simultaneous fault detection and consensus control design for a network of multi-agent systems," Automatica, vol. 66, pp. 185-194, 2016.
J. Xi, M. He, H. Liu, and J. Zheng, "Admissible output consensualization control for singular multi-agent systems with time delays," Journal of the Franklin Institute, vol. 353, pp. 4074-4090, 2016.
Y. Cong, Z. Feng, H. Song, and S. Wang, "Containment control of singular heterogeneous multi-agent systems," Journal of the Franklin Institute, vol. 355, pp. 4629-4643, 2018.
X. Liu, Y. Xie, F. Li, P. Shi, W. Gui, and W. Li, "Formation control of singular multiagent systems with switching topologies," International Journal of Robust and Nonlinear Control, vol. 30, pp. 652-664, 2020.
R. V. Beard, "Failure accomodation in linear systems through self reorganization," Massachusetts Institute of Technology, 1971.
Z. Gao and D. W. Ho, "State/noise estimator for descriptor systems with application to sensor fault diagnosis," IEEE transactions on signal processing, vol. 54, pp. 1316-1326, 2006.
M. Wang and T. Liang, "Adaptive Kalman filtering for sensor fault estimation and isolation of satellite attitude control based on descriptor systems," Transactions of the Institute of Measurement and Control, vol. 41, pp. 1686-1698, 2019.
Y. Liu, Y. Ma, and Y. Wang, "Reliable finite-time sliding-mode control for singular time-delay system with sensor faults and randomly occurring nonlinearities," Applied Mathematics and Computation, vol. 320, pp. 341-357, 2018.
A. H. Hassanabadi, M. Shafiee, and V. Puig, "Sensor fault diagnosis of singular delayed LPV systems with inexact parameters: an uncertain system approach," International Journal of Systems Science, vol. 49, pp. 179-195, 2018.
F. Pourdadashi Komachali and M. Shafiee, "Sensor fault diagnosis in fractional-order singular systems using unknown input observer," International Journal of Systems Science, vol. 51, pp. 116-132, 2020.
B. Rabaoui, H. Hamdi, N. BenHadj Braiek, and M. Rodrigues, "Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems," International Journal of Robust and Nonlinear Control, vol. 31, pp. 8329-8352, 2021.
L. Chen, Y. Zhao, S. Fu, M. Liu, and J. Qiu, "Fault estimation observer design for descriptor switched systems with actuator and sensor failures," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 66, pp. 810-819, 2018.
H. K. Alaei and A. Yazdizadeh, "Robust output disturbance, actuator and sensor faults reconstruction using H∞ sliding mode descriptor observer for uncertain nonlinear boiler system," International Journal of Control, Automation and Systems, vol. 16, pp. 1271-1281, 2018.
C. Gao, Z. Wang, X. He, and H. Dong, "Fault-tolerant consensus control for multi-agent systems: An encryption decryption scheme," IEEE Transactions on Automatic Control, 2021.
L. Qin, X. He, and D. Zhou, "Fault tolerant cooperative output regulation for multi-vehicle systems with sensor faults," International Journal of Control, vol. 90, pp. 2227-2248, 2017.
Y. Sun, Y. Xia, J. Zhang, and D.-W. Ding, "Adaptive fault-tolerant output regulation of linear multi-agent systems with sensor faults," IEEE Access, vol. 8, pp. 159440-159448, 2020.
M. Gao, S. Yang, and L. Sheng, "Distributed fault estimation for time varying multi-agent systems with sensor faults and partially decoupled disturbances," IEEE Access, vol. 7, pp. 147905-147913, 2019.
K. Zhang, B. Jiang, X. Yan, and J. Xia, "Distributed fault diagnosis of multi-agent systems with time-varying sensor faults," ICIC Express Letters, vol. 14, pp. 129- 135, 2020.
E. Mousavinejad, X. Ge, Q.-L. Han, T. J. Lim, and L. Vlacic, "An Ellipsoidal Set Membership Approach to Distributed Joint State and Sensor Fault Estimation of Autonomous Ground Vehicles," IEEE/CAA Journal of Automatica Sinica, vol. 8, pp. 1107-1118, 2021.
W. Shi, W. Chen, L. Gao, and J. Hu, "Adaptive fault-tolerant tracking control for singular multi-agent systems," in 2017 11th Asian Control Conference (ASCC), 2017, pp. 2358-2363.
X. Zhang, J. Dong, and L. Li, "Fault Tolerant Consensus of Fractional Order Singular Multi-Agent Systems With Uncertainty," Ieee Access, vol. 8, pp. 68762-68771, 2020.
H. Fan, K. Zheng, L. Liu, B. Wang, and W. Wang, "Event-triggered finite-time consensus of second-order leader-follower multiagent systems with uncertain disturbances," IEEE Transactions on Cybernetics, 2020.
L. Dai, Singular control systems: Springer, 1989.
W. Ren and R. W. Beard, Distributed consensus in multi-vehicle cooperative control vol. 27: Springer, 2008.
J. Y. Ishihara and M. H. Terra, "On the Lyapunov theorem for singular systems," IEEE transactions on Automatic Control, vol. 47, pp. 1926-1930, 2002.
