Abstract
This paper focuses on fault estimation problem for linear discrete-time multi-agent system based on unknown input observer method. Firstly, we expand the state vector’s dimension, making it include sensor or actuator failure information, so a big system with fault states is generated. Then, we construct an UIO (Unknown Input Observer) to realize the purpose of fault estimation, this method uses the estimation errors generated by the agents which are connected. Design conditions of multi-constrained observer matrices are given and solved by using linear matrix inequality technique. Finally, an example of linear multi-agent system including four aircrafts is illustrated to prove the correctness and validity of the method we brought.
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References
Zou, Y., Zhou, Z.Q., Dong, X.W.: Distributed formation control for multiple vertical takeoff and landing UAVs with switching topologies. IEEE/ASME Trans. Mechatron. 23(4), 1750–1761 (2018)
Lu, C., Wang, Z.M., Dong, X.W.: Time-varying formation tracking for UGV swarm systems with switching directed topologies. In: Proceedings of the 37th Chinese Control Conference, pp. 7049–7054 (2018)
Yan, W.S., Fang, X.P., Li, J.B.: Formation optimization for AUV localization with range-dependent measurements noise. IEEE Commun. Lett. 18(9), 1579–1582 (2014)
Zheng, R.H., Liu, Y.H., Sun, D.: Enclosing a target by nonholonomic mobile robots with bearing-only measurements. Automatica 53, 400–407 (2015)
Frank, L.L., Zhang, H.W., Kristian, H.M., Abhijit, D.: Cooperative Control of Multi-agent Systems Optimal and Adaptive Design Approaches. Communications and Control Engineering CISNN 2014. Springer, London (2014)
Qin, L., He, X., Zhou, D.H.: A survey of fault diagnosis for swarm systems. Syst. Sci. Control Eng. 2(1), 13–23 (2014)
Liu, X.H., Gao, X.W., Han, J.: Robust unknown input observer based fault detection for high-order multi-agent systems with disturbances. ISA Trans. 61, 15–28 (2016)
Yan, R.Y., He, X., Wang, Z.D.: Distributed FDI for a class of LPV multi-agent system: a geometric approach. In: 25th Chinese Control and Decision Conference, pp. 4379–4384 (2013)
Jiang, B., Staroswiecki, M., Cocquempot, V.: Fault accommodation for nonlinear dynamic systems. IEEE Trans. Autom. Control 51(9), 1578–1583 (2006)
Liu, J., Yue, D.: Event-based fault detection for networked systems with communication delay and nonlinear perturbation. J. Frankl. Inst. 350(9), 2791–2807 (2013)
Shi, Y., Deng, Y., Zhang, W.: Diagnosis of incipient faults in weak nonlinear analog circuits. Circuits Syst. Signal Process 32(5), 2151–2170 (2013)
Chadli, M., Davoodi, M., Meskin, N.: Distributed fault detection and isolation filter design for heterogeneous multi-agent LPV systems. In: American Control Conference, pp. 1610–1615 (2017)
Khodabandeh, S., Kharrati, H.: Distributed fault tolerant control and estimation for leader-follower consensus of multi-agent systems with actuator faults. In: IEEE 4th International Conference on Knowledge-Based Engineering and Innovation, pp. 0872–0877 (2017)
Zhang, K., Liu, G.S., Jiang, B.: Robust unknown input observer-based fault estimation of leader follower linear multi-agent systems. Circuits Syst. Signal Process 36, 525–542 (2017)
Boyd, S., Ghaoui, L.E., et al.: Linear Matrix Inequalities in system and Control Theory. Society for Industrial and Applied Mathematics (1994)
Li, Z., Duan, Z., Chen, G.R.: On \(H_{\infty }\) and \(H_{2}\) performance regions of multi-agent systems. Automatica 47(4), 797–803 (2011)
Wang, Z.H., Shen, Y., Zhang, X.L., Wang, Q.: Observer design for discrete-time descriptor systems: an LMI approach. Syst. Control Lett. 61, 683–687 (2012)
Acknowledgements
This paper is supported by grant funded by NSFC (51805021) and Research foundation for talents of NCUT (No.213051360020XN173/017, 110051360020XN092).
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Xu, J., Zhou, M. (2022). Robust Fault Estimation for Discrete-Time Multi-agent Systems with Unknown Input Observer. In: Yan, L., Duan, H., Yu, X. (eds) Advances in Guidance, Navigation and Control . Lecture Notes in Electrical Engineering, vol 644. Springer, Singapore. https://doi.org/10.1007/978-981-15-8155-7_396
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DOI: https://doi.org/10.1007/978-981-15-8155-7_396
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