Hostname: page-component-8448b6f56d-m8qmq Total loading time: 0 Render date: 2024-04-18T19:52:35.035Z Has data issue: false hasContentIssue false

Improved Concise Backstepping Control of Course Keeping for Ships Using Nonlinear Feedback Technique

Published online by Cambridge University Press:  21 June 2017

XianKu Zhang
Affiliation:
(Navigation College, Dalian Maritime University, Dalian 116026China)
Guangping Yang
Affiliation:
(Navigation College, Dalian Maritime University, Dalian 116026China)
Qiang Zhang
Affiliation:
(Navigation College, Dalian Maritime University, Dalian 116026China)
Guoqing Zhang*
Affiliation:
(Navigation College, Dalian Maritime University, Dalian 116026China)
Yuqi Zhang
Affiliation:
(School of Humanity and Law, Dalian University of Technology, Dalian 116024China)
*

Abstract

Course keeping for ships is vital for automatic navigation in marine transportation. To improve the control effect and reduce the energy output of the controller, this article proposes an improved concise backstepping controller based on a Lyapunov candidate function by introducing a nonlinear function of course error to replace the course error itself in the feedback loop. The procedure of nonlinear controller design has been reduced from two steps to one step using information from controlled plant to construct the Lyapunov candidate function. Compared with the pure backstepping control, the proposed improved algorithm reserves the nonlinear item of the system, and possesses a strong disturbance rejection ability and robustness to the mathematical model uncertainty. The algorithm given here has advantages of simplified construction method, satisfactory control effect, robustness and energy saving.

Type
Review Article
Copyright
Copyright © The Royal Institute of Navigation 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Arunnehru, S. and Paramasivam, C. (2014). Modified Scaling-Free Micro-Rotation Based Circular CORDIC Algorithm Using Taylor Series Expansion of Sine and Cosine. International Journal of Innovative Research in Science, Engineering and Technology, 3(3), 14181422.Google Scholar
Fossen, T.I. (2002). Marine Control Systems, Marine Cybernetics, Trondheim, Norway.Google Scholar
Fossen, T.I. (2011). Handbook of Marine Craft Hydrodynamics and Motion Control. John Wiley & Sons, New York, the United States.Google Scholar
Guo, Y. (2009). Marine Navigation. Dalian Maritime University Press, Dalian, China.Google Scholar
Jia, X.L. and Yang, Y.S. (1999). Ship Motion Mathematic Model (the mechanism modeling and the identification modelling). Dalian Maritime University Press, Dalian, China.Google Scholar
Kallstrom, C.G. (1982). Identification and Adaptive Control Applied to Ship Steering. Ph.D. Thesis, Lund Institute of Technology, Lund, Sweden.Google Scholar
Krstic, M. and Smyshlyaev, A. (2008). Backstepping Boundary Control for First-order Hyperbolic PDEs and Application to Systems with Actuator and Sensor Delays. Systems & Control Letters, 57(9), 750758.CrossRefGoogle Scholar
Lei, Z.L. and Guo, C. (2015). Disturbance Rejection Control Solution for Ship Steering System with Uncertain Time Delay. Ocean Engineering, 95(1), 7883.CrossRefGoogle Scholar
Li, S.H., Wang, X.Y.and Zhang, L.J. (2015). Finite-time Output Feedback Tracking Control for Autonomous Underwater Vehicles. IEEE Journal of Oceanic Engineering, 40(3), 727751.CrossRefGoogle Scholar
Lin, Y.Y. (2007). Study of Ship Course Nonlinear Control Based on Backstepping. Master Dissertation, Dalian Maritime University, Dalian, China, Ch. 3–5.Google Scholar
Liu, C.S. (2007). Simulation Study on the Ship Maneuvering with Lateral Thruster. Master Dissertation, Dalian Maritime University, Dalian, China, Ch.4.Google Scholar
Liu, Y., Bu, R.X. and Zhu, Y.Q. (2012) Straight-path Tracking Control of Underactuated Ship Based on Backstepping Method. Journal of Dalian Maritime University, 38(1), 58.Google Scholar
Nejati, A., Shahrokhi, M.and Mehrabani, A. (2012). Comparison between Backstepping and Input -output Linearization Techniques for pH Process Control. Journal of Process Control, 22, 263271.CrossRefGoogle Scholar
Nomoto, K., Taguchi, T., Honda, K.and Hirano, S. (1957). On the Steering Qualities of Ships. International Shipbuilding Progress, 4(3), 188194.CrossRefGoogle Scholar
Peng, X.Y., Jia, S.L.and Hu, Z.H. (2014). Nonlinear H-infinity Inverse Optimal Output Feedback Control for Ship Course. Control Theory & Applications, 31(2), 215222.Google Scholar
Perera, L.P. and Guedes, Soares, C. (2013). Lyapunov and Hurwitz Based Controls for Input-output Linearization Applied to Nonlinear Vessel Steering. Ocean Engineering, 66(1), 5868.CrossRefGoogle Scholar
Tsai, C.C., Wang, Z.C., Lee, C.T. and Li, Y.Y. (2015). Intelligent Adaptive Trajectory Tracking Control for an Autonomous Samll-scall Helicopter Using Fuzzy Basis Function Networks. Asian Journal of Control, 17(1), 112.Google Scholar
Tu, W. (2008). Research of Optimal Control of Ship Heading and Using SIMULINK for Simulation. Master Dissertation, Harbin Engineering University, Harbin, China, Ch. 2.Google Scholar
Van, A.J. (1982). Adaptive Steering of Ships-a Model Reference Approach to Improved Manoeuvring and Economical Course-keeping. Ph.D. Thesis, Delft University of Technology, Netherlands.Google Scholar
Xia, G.Q., Shao, X.C.and Zhao, A. (2015) Robust Nonlinear Observer and Observer-backstepping Control Design for Surface Ships. Asian Journal of Control, 17(5), 117.CrossRefGoogle Scholar
Zhang, G.Q. and Zhang, X.K. (2014). Concise Robust Adaptive Path-following Control of Underactuated Ships Using DSC and MLP. IEEE Journal of Oceanic Engineering, 39(4) 685694.CrossRefGoogle Scholar
Zhang, X.K. (2010). Nonlinear Control for Ship Course-keeping Based on Lyapunov Stability. Journal of Southwest Jiaotong University, 45(1), 140143.Google Scholar
Zhang, X.K. (2012). Ship Motion Concise Robust Control. Science Press, Beijing, China.Google Scholar
Zhang, X.K., Chen, X.J., Lu, Y. and Yin, Y. (2014). Mathematical Model of Target Ships in Maritime Simulator. Shipbuilding of China, 55(3), 125130.Google Scholar
Zhang, X.K. and Jin, Y.C. (2013). Control System Modeling and Numerical Simulation (Version 2). Dalian Maritime University Press, Dalian, China.Google Scholar
Zhang, X.K. and Zhang, G.Q. (2013a). Researches on Williamson Turn for Very Large Carriers. Naval Engineers Journal, 124(4), 113119.Google Scholar
Zhang, X.K. and Zhang, G.Q. (2013b). Stabilization of Pure Unstable Delay Systems by the Mirror Mapping Technique. Journal of Process Control, 23(10), 14651470.CrossRefGoogle Scholar
Zhang, X. K. and Zhang, G.Q. (2016) Design of Ship Course-keeping Autopilot Using a Sine Function Based Nonlinear Feedback Technique. The Journal of Navigation, 69(2), 246256.CrossRefGoogle Scholar
Zhu, Y., Krstic, M., Su, H.Y. and Xu, C. (2015). Linear Backstepping Output Feedback Control for Uncertain Linear Systems. International Journal of Adaptive Control Signal Process, 30, 10801098.CrossRefGoogle Scholar