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Fault tolerant finite-time leader-follower formation control for autonomous surface vessels with LOS range and angle constraints. (English) Zbl 1334.93007
Summary: In this work, we present a novel fault tolerant leader-follower formation control scheme for a group of underactuated autonomous surface vessels with partially known control input gain functions, where the Line-Of-Sight (LOS) range and angle tracking errors are required to be constrained. Both parametric system uncertainties with time-varying unknown functions and nonparametric system uncertainties satisfying norm-bounded conditions are discussed. To address LOS range and angle constraints and finite time convergence, time-varying tan-type Barrier Lyapunov Functions (BLFs) are incorporated with the control scheme. For the formation control, only measurements of LOS range and angle are used for control implementation, no other information about the leader is required. We show that under the proposed control method, despite the presence of actuator faults and system uncertainties, the formation tracking errors can converge into arbitrarily small neighborhoods around zero in finite time, while the constraint requirements on the LOS range and angle will not be violated. All closed loop signals are bounded. Simulation results further demonstrate the effectiveness of the proposed method.

MSC:
93A14 Decentralized systems
93C95 Application models in control theory
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[1] Bacconi, F.; Mosca, E.; Casavola, A., Hybrid constrained formation flying control of micro-satellites, IET Control Theory & Applications, 1, 2, 513-521, (2007)
[2] Breivik, M., Hovstein, V.E., & Fossen, T.I. 2008. Ship formation control: a guided leader-follower approach. In Proceedings of the IFAC world congress. Seoul, Korea (pp. 16008-16014).
[3] Cao, Y.; Ren, W.; Meng, Z., Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking, Systems & Control Letters, 59, 9, 522-529, (2010) · Zbl 1207.93103
[4] Chen, M.; Ge, S. S.; How, B. V.E., Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities, IEEE Transactions on Neural Networks, 21, 5, 796-812, (2010)
[5] Chen, M.; Ge, S. S.; Ren, B., Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints, Automatica, 47, 452-465, (2011) · Zbl 1219.93053
[6] Consolini, L.; Morbidi, F.; Pattrichizzo, D.; Tosques, M., Leader-follower formation control of nonholonomic mobile robots with input constraints, Automatica, 44, 5, 1343-1349, (2008) · Zbl 1283.93015
[7] Cui, R.; Ge, S. S.; How, B. V.E.; Choo, Y. S., Leader-follower formation control of underactuated autonomous underwater vehicles, Ocean Engineering, 37, 17-18, 1491-1502, (2010)
[8] Do, K. D.; Pan, J., Global robust adaptive path following of underactuated ships, Automatica, 42, 1713-1722, (2006) · Zbl 1114.93056
[9] Du, H.; Li, S.; Lin, X., Finite-time formation control of multiagent systems via dynamic output feedback, International Journal of Robust and Nonlinear Control, 23, 14, 1609-1628, (2013) · Zbl 1286.93010
[10] Egerstedt, M.; Hu, X., Formation constrained multi-agent control, IEEE Transactions on Robotics and Automation, 17, 6, 947-951, (2001)
[11] Fahimi, F., Nonlinear model predictive formation control for groups of autonomous surface vessels, International Journal of Control, 80, 8, 1248-1259, (2007) · Zbl 1133.93352
[12] Ghommam, J.; Mnif, F., Coordinated path-following control for a group of underactuated surface vessels, IEEE Transactions on Industrial Electronics, 56, 10, 3951-3963, (2009)
[13] Hu, Q.; Huo, X.; Xiao, B., Reaction wheel fault tolerant control for spacecraft attitude stabilization with finite-time convergence, International Journal of Robust and Nonlinear Control, 23, 15, 1737-1752, (2013) · Zbl 1274.93047
[14] Huang, J. S.; Wen, C. Y.; Wang, W.; Song, Y. D., Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems, Automatica, 51, 292-301, (2015) · Zbl 1309.93011
[15] Jin, X., Adaptive fault tolerant control for a class of input and state constrained MIMO nonlinear systems, International Journal of Robust and Nonlinear Control, 26, 2, 286-302, (2016) · Zbl 1333.93141
[16] Jin, X.; Xu, J. X., Iterative learning control for output-constrained systems with both parametric and non-parametric uncertainties, Automatica, 49, 8, 2508-2516, (2013) · Zbl 1364.93242
[17] Jin, X.; Xu, J. X., A barrier composite energy function approach for robot manipulators under alignment condition with position constraints, International Journal of Robust and Nonlinear Control, 24, 17, 2840-2851, (2014) · Zbl 1305.93144
[18] Li, J.-H.; Lee, P.-M.; Jun, B.-H.; Lim, Y.-K., Point-to-point navigation of underactuated ships, Automatica, 44, 3201-3205, (2008) · Zbl 1153.93373
[19] Li, P., & Yang, G.H. 2009. Fault-tolerant control of uncertain nonlinear systems with nonlinearly parameterized fuzzy systems. In Proceedings of the IEEE multi-conference on systems and control (pp. 382-387).
[20] Lu, K. F.; Xia, Y. Q., Adaptive attitude tracking control for rigid spacecraft with finite-time convergence, Automatica, 49, 12, 3591-3599, (2013) · Zbl 1315.93045
[21] Ou, M.; Du, H.; Li, S., Finite-time formation control of multiple nonholonomic mobile robots, International Journal of Robust and Nonlinear Control, 24, 1, 140-165, (2014) · Zbl 1278.93173
[22] Peng, Z.; Wang, D.; Chen, Z.; Hu, X.; Lan, W., Adaptive dynamic surface control for formations of autonomous surface vehicles with uncertain dynamics, IEEE Transactions on Control Systems Technology, 21, 2, 513-520, (2013)
[23] Peng, Z.; Wang, D.; Hu, X., Robust adaptive formation control of underactuated autonomous surface vehicles with uncertain dynamics, IET Control Theory & Applications, 5, 12, 1378-1387, (2011)
[24] Shen, Q.; Jiang, B.; Shi, P.; Zhao, J., Cooperative adaptive fuzzy tracking control for networked unknown nonlinear multiagent systems with time-varying actuator faults, IEEE Transactions on Fuzzy Systems, 22, 3, 494-504, (2014)
[25] Shi, P.; Shen, Q., Cooperative control of multi-agent systems with unknown state-dependent controlling effects, IEEE Transactions on Automation Science and Engineering, 12, 3, 827-834, (2015)
[26] Skjetne, R., Moi, S., & Fossen, T.I. 2002. Nonlinear formation control of marine vessel. In Proceedings of the IEEE conference on decision and control (pp. 1699-1704).
[27] Tang, Z.L., Tee, K.P., & He, W. 2013. Tangent barrier Lyapunov functions for the control of output-constrained nonlinear systems. In Proceedings of the 3rd IFAC international conference on intelligent control and automation science(pp. 449-455).
[28] Tee, K. P.; Ge, S. S.; Tay, E. H., Barrier Lyapunov function for control of output-constrained nonlinear systems, Automatica, 45, 4, 918-927, (2009) · Zbl 1162.93346
[29] Tee, K. P.; Ren, B.; Ge, S. S., Control of nonlinear systems with time-varying output constraints, Automatica, 47, 11, 2511-2516, (2011) · Zbl 1228.93069
[30] Wang, W.; Wen, C., Adaptive compensation for infinite number of actuator failures or faults, Automatica, 47, 2197-2210, (2011) · Zbl 1228.93070
[31] Xiao, F.; Wang, L.; Chen, J.; Gao, Y., Finite-time formation control for multi-agent systems, Automatica, 45, 2605-2611, (2009) · Zbl 1180.93006
[32] Xu, J. X.; Jin, X., State-constrained iterative learning control for a class of MIMO systems, IEEE Transactions on Automatic Control, 58, 5, 1322-1327, (2013)
[33] Yang, E.; Gu, D., Nonlinear formation-keeping and mooring control of multiple autonomous underwater vehicles, IEEE/ASME Transactions on Mechatronics, 12, 2, 164-178, (2007)
[34] Yu, S. H.; Yu, X. H.; Shirinzadeh, B.; Man, Z. H., Continuous finite-time control for robotic manipulators with terminal sliding mode, Automatica, 41, 11, 1957-1964, (2005) · Zbl 1125.93423
[35] Zhang, W., & Hu, J. 2007. A case study of formation constrained optimal multi-agent coordination. In Proceedings of the 46th IEEE conference on decision and control. New Orleans, LA, USA (pp. 2478-2483).
[36] Zhao, S., Lin, F., Peng, K., Chen, B.M., & Lee, T.H. 2013. Distributed control of angle-constrained circular formations using bearing-only measurements. In Proceedings of the 9th IEEE Asian control conference. ASCC (pp. 1-6).
[37] Zhu, Z.; Xia, Y. Q.; Fu, M. Y., Attitude stabilization of rigid spacecraft with finite-time convergence, International Journal of Robust and Nonlinear Control, 21, 6, 686-702, (2011) · Zbl 1214.93100
[38] Zuo, Z.; Ho, D. W.C.; Wang, Y., Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation, Automatica, 46, 569-576, (2010) · Zbl 1194.93093
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