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Backstepping Based Adaptive Region Tracking Fault Tolerant Control for Autonomous Underwater Vehicles

Published online by Cambridge University Press:  04 July 2016

Mingjun Zhang
Affiliation:
(College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China)
Xing Liu*
Affiliation:
(College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China)
Fei Wang
Affiliation:
(College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China)

Abstract

A region tracking fault tolerant control approach based on backstepping technique is proposed for Autonomous Underwater Vehicles (AUV). The proposed approach aims at driving tracking error to reach into the desired region in presence of ocean current disturbance, modelling uncertainty, unknown thruster faults and thruster amplitude and rate saturation constraints. At first, a type of piecewise and differential Lyapunov function is constructed to achieve region tracking control in the frame of backstepping technique. Then, the paper analyses and acquires the bound structures of the lumped uncertainty (including ocean current disturbance and model uncertainty) and the variation of thruster distribution matrix caused by unknown thruster faults, respectively. An adaptive technique is used to estimate the unknown coefficients in the above bound structures. In addition, an adaptive adjustment scheme for the desired trajectory is developed to achieve region tracking control with thruster amplitude and rate saturation constraints. The stability of the closed-loop system is analysed based on Barbalat's lemma. Finally, simulations and pool-experiments are presented to illustrate the effectiveness of the proposed method.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2016 

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References

REFERENCES

Aghaei, S., Sheikholeslam, F., Farina, M. and Scattolini, R. (2013). An MPC-based reference governor approach for offset-free control of constrained linear systems. International Journal Of Control, 86, 15341539.CrossRefGoogle Scholar
Ataei, M. and Yousefi-Koma, A. (2015). Three-dimensional optimal path planning for waypoint guidance of an autonomous underwater vehicle. Robotics And Autonomous Systems, 67, 2332.CrossRefGoogle Scholar
Bessa, W.M., Dutra, M.S. and Kreuzer, E. (2010). An adaptive fuzzy sliding mode controller for remotely operated underwater vehicles. Robotics And Autonomous Systems, 58, 1626.CrossRefGoogle Scholar
Bing, S., Daqi, Z. and Yang, S.X. (2014). A Bioinspired Filtered Backstepping Tracking Control of 7000-m Manned Submarine Vehicle. Industrial Electronics, IEEE Transactions on, 61, 36823693.Google Scholar
Boussaid, B., Aubrun, C., Jiang, J. and Abdelkrim, M.N. (2014). FTC approach with actuator saturation avoidance based on reference management. International Journal Of Robust And Nonlinear Control, 24, 27242740.CrossRefGoogle Scholar
Chamseddine, A., Join, C. and Theilliol, D. (2013). Trajectory planning/re-planning for satellite systems in rendezvous mission in the presence of actuator faults based on attainable efforts analysis. International Journal Of Systems Science, 46, 690701.CrossRefGoogle Scholar
Chamseddine, A., Theilliol, D., Zhang, Y.M., Join, C. and Rabbath, C.A. (2015). Active fault-tolerant control system design with trajectory re-planning against actuator faults and saturation: Application to a quadrotor unmanned aerial vehicle. International Journal Of Adaptive Control And Signal Processing, 29, 123.CrossRefGoogle Scholar
Chu, Z., Zhu, D. and Yang, S.X. (2016). Observer-Based Adaptive Neural Network Trajectory Tracking Control for Remotely Operated Vehicle. IEEE Transactions on Neural Networks and Learning Systems, PP, 113.Google ScholarPubMed
Fossen, T.I. (2011). Handbook of marine craft hydrodynamics and motion control. John Wiley & Sons.CrossRefGoogle Scholar
Fossen, T.I., Pettersen, K.Y. and Galeazzi, R. (2015). Line-of-Sight Path Following for Dubins Paths With Adaptive Sideslip Compensation of Drift Forces. Ieee Transactions On Control Systems Technology, 23, 820827.CrossRefGoogle Scholar
Gel'fand, I.M. and Shilov, G.E. (1964). Generalized Fuctions. Academic Press Inc.Google Scholar
Hu, Q., Xiao, B. and Friswell, M.I. (2011). Robust fault-tolerant control for spacecraft attitude stabilisation subject to input saturation. Control Theory & Applications, IET, 5, 271282.CrossRefGoogle Scholar
Ismail, Z.H. and Dunnigan, M.W. (2011). Tracking control scheme for an underwater vehicle-manipulator system with single and multiple sub-regions and sub-task objectives. IET Control Theory & Applications, 5, 721735.CrossRefGoogle Scholar
Ismail, Z.H., Faudzi, A.A. and Dunnigan, A.W. (2014). Fault-Tolerant Region-Based Control of an Underwater Vehicle with Kinematically Redundant Thrusters. Mathematical Problems In Engineering, 2014, 112.CrossRefGoogle Scholar
Jiang, J. and Yu, X. (2012). Fault-tolerant control systems: A comparative study between active and passive approaches. Annual Reviews in Control, 36, 6072.CrossRefGoogle Scholar
Johansen, T.A. and Fossen, T.I. (2013). Control allocation—A survey. Automatica, 49, 10871103.CrossRefGoogle Scholar
Koofigar, H.R. (2014). Robust Adaptive Motion Control with Environmental Disturbance Rejection for Perturbed Underwater Vehicles. Journal of Marine Science and Technology-Taiwan, 22, 455462.Google Scholar
Lekkas, A.M. and Fossen, T.I. (2014). Integral LOS Path Following for Curved Paths Based on a Monotone Cubic Hermite Spline Parametrization. Ieee Transactions On Control Systems Technology, 22, 22872301.CrossRefGoogle Scholar
Leonessa, A., Haddad, W.M., Hayakawa, T. and Morel, Y. (2009). Adaptive control for nonlinear uncertain systems with actuator amplitude and rate saturation constraints. International Journal Of Adaptive Control And Signal Processing, 23, 7396.CrossRefGoogle Scholar
Li, X., Hou, S.P. and Cheah, C.C. (2010). Adaptive region tracking control for autonomous underwater vehicle. Proceedings of the Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on, Singapore.CrossRefGoogle Scholar
Lombaerts, T., Looye, G., Chu, Q. and Mulder, J. (2012). Design and simulation of fault tolerant flight control based on a physical approach. Aerospace Science And Technology, 23, 151171.CrossRefGoogle Scholar
Morishita, H.M. and Souza, C.E.S. (2014). Modified observer backstepping controller for a dynamic positioning system. Control Engineering Practice, 33, 105114.CrossRefGoogle Scholar
Mukherjee, K., Kat, I.N. and Bhatt, R.K.P. (2015). Region tracking based control of an autonomous underwater vehicle with input delay. Ocean Engineering, 99, 107114.CrossRefGoogle Scholar
Omerdic, E. and Roberts, G. (2004). Thruster fault diagnosis and accommodation for open-frame underwater vehicles. Control Engineering Practice, 12, 15751598.CrossRefGoogle Scholar
Podder, T.K. and Sarkar, N. (2001). Fault-tolerant control of an autonomous underwater vehicle under thruster redundancy. Robotics And Autonomous Systems, 34, 3952.CrossRefGoogle Scholar
Seok Park, B. (2014). Neural Network-Based Tracking Control of Underactuated Autonomous Underwater Vehicles With Model Uncertainties. Journal of Dynamic Systems, Measurement, and Control, 137, 021004.Google Scholar
Simplício, P., Pavel, M., Van Kampen, E. and Chu, Q. (2013). An acceleration measurements-based approach for helicopter nonlinear flight control using Incremental Nonlinear Dynamic Inversion. Control Engineering Practice, 21, 10651077.CrossRefGoogle Scholar
Slotine, J.J.E. and Li, W. (1991). Applied Nonlinear Control. Prentice Hall.Google Scholar
Soylu, S., Buckham, B.J. and Podhorodeski, R.P. (2008). A chattering-free sliding-mode controller for underwater vehicles with fault-tolerant infinity-norm thrust allocation. Ocean Engineering, 35, 16471659.CrossRefGoogle Scholar
Sun, B., Zhu, D. and Yang, S.X. (2016). A Novel Tracking Controller for Autonomous Underwater Vehicles with Thruster Fault Accommodation. The Journal of Navigation, 69, 593612.CrossRefGoogle Scholar
Wang, T., Xie, W. and Zhang, Y. (2012). Sliding mode fault tolerant control dealing with modeling uncertainties and actuator faults. Isa Transactions, 51, 386392.CrossRefGoogle ScholarPubMed
Wu, J., Li, J. and Chen, W. (2014). Semi-globally/globally stable adaptive NN backstepping control for uncertain MIMO systems with tracking accuracy known a priori. Journal of the Franklin Institute, 351, 52745309.CrossRefGoogle Scholar
You, S.S., Lim, T.W. and Jeong, S.K. (2010). General path-following manoeuvres for an underwater vehicle using robust control synthesis. Proceedings of the Institution of Mechanical Engineers Part I-Journal of Systems and Control Engineering, 224, 960969.Google Scholar
Zhang, M. and Chu, Z. (2014). Adaptive Region Tracking Control for Autonomous Underwater Vehicle. Journal of Mechanical Engineering, 50, 5057.Google Scholar
Zhang, M., Liu, X., Yin, B. and Liu, W. (2015). Adaptive terminal sliding mode based thruster fault tolerant control for underwater vehicle in time-varying ocean currents. Journal of the Franklin Institute, 352, 49354961.CrossRefGoogle Scholar