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An Improved Smooth Variable Structure Filter and Its Application in Ship Wave Filtering

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Iranian Journal of Science and Technology, Transactions of Electrical Engineering Aims and scope Submit manuscript

Abstract

During the movement of the ship, due to the influence of wind, waves, currents, uncertain model parameters and related noise, there is a certain deviation between actual model and the theoretically model, and the system noise is cross-correlated. In this case, the traditional wave filtering algorithms based on accurate model and independent Gaussian white noise will have some deviation or even divergence. In this paper, a new wave filtering technology is proposed for ship with model uncertainty and cross-correlated noise interference. Specifically, an improved smooth variable structure filter with cross-correlate noise is proposed. The simulation results illustrate the superior performance of the proposed filtering strategy compared with other existing filter algorithm.

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References

  • Afshari HH, Attari M, Ahmed R, Delbari A, Habibi S, Shoa T (2018) Reliable state of charge and state of health estimation using the smooth variable structure filter. Control Eng Pract 77(8):1–14

    Article  Google Scholar 

  • Alshabi M, Elnady A (2020) Recursive smooth variable structure filter for estimation processes in direct power control scheme under balanced and unbalanced power grid. IEEE Syst J 14(1):971–982

    Article  Google Scholar 

  • Brodtkorb AH, Nielsen UD, Sorensen AJ (2015) Sea state estimation using model-scale DP measurements. In: Oceans 2015, Washington, USA 2015:1–7

  • Chen Y, Xu LP, Yan B, Li C (2020) A novel smooth variable structure smoother for robust estimation. Sensors (Basel, Switzerland) 20(6):1–21

    Google Scholar 

  • Feng JX, Wang ZD, Zeng M (2013) Distributed weighted robust kalman filter fusion for uncertain systems with auto-correlated and cross-correlated noises. Inform Fusion 14:78–86

    Article  Google Scholar 

  • Fossen TI (2002) Marine control systems: guidance, navigation, and control of ships, rigs and underwater vehicles. Wiley, Norway. ISBN 82-92356-00-2

  • Fossen TI (2012) Handbook of marine craft hydrodynamics and motion control. Wiley, Norway. ISBN 9781119998686

  • Fossen TI, Perez T (2009) Kalman filtering for positioning and heading control of ships and offshore rigs. IEEE Control Syst Mag 29(6):32–46

    Article  MathSciNet  Google Scholar 

  • Fossen TI, Strand JP (1999) Passive Nonlinear Observer Design for Ships Using Lyapunov Methods: full-Scale Experiments with a Supply Vessel. Automatica 35:3–16

    Article  MathSciNet  Google Scholar 

  • Fung P, Grimble MJ (1983) Dynamic ship positioning using a self-tuning Kalman filter. IEEE Trans Autom Control 28(3):339–350

    Article  Google Scholar 

  • Gadsden SA, Habibi SR (2013) A new robust filtering strategy for linear systems. J Dyn Syst-T Asme 135:1–9

    Google Scholar 

  • Gadsden SA, Sayed ME, Habibi SR (2011) Derivation of an optimal boundary layer width for the smooth variable structure filter. In: 2011 American Control Conference, Hilton San Francisco, California 4922–4927

  • Gadsden SA, Habibi S, Kirubarajan T (2014a) Kalman and smooth variable structure filters for robust estimation. IEEE T Aero Elec Sys 50(2):1038–1050

    Article  Google Scholar 

  • Gadsden SA, Al-Shabi M, Arasaratnam I, Habibi SR (2014b) Combined cubature kalman and smooth variable structure filtering: a robust nonlinear estimation strategy. Signal Process 96(5):290–299

    Article  Google Scholar 

  • Habibi S (2007) The smooth variable structure filter. P IEEE 95(5):1026–1059

    Article  Google Scholar 

  • Habibi SR, Burton R (2002) The variable structure filter. J Dyn Syst-T Asme 125(3):157–165

    Google Scholar 

  • Hassani V, Pascoal AM (2015) Wave filtering and dynamic positioning of marine vessels using a linear design model: theory and experiments. Oper Res Comput Sci Interfaces Ser Switzerland 58:315–343

    Google Scholar 

  • Hassani V, Sørensen AJ, Pascoal AM (2012) Robust dynamic positioning of offshore vessels using mixed-µ synthesis Part I: designing process. In: IFAC Proceeding Volumes, Trondheim, Norway 2–18

  • Hassani V, Pascoal AM, Sørensen AJ (2014) A novel methodology for adaptive wave filtering of marine vessels: theory and experiments. In: 52nd IEEE Conference on Decision and Control, Florence, Italy 6162–6167

  • Jia-Lua DU, Wang SY, Zhang XK (2012) Nonlinear observer design for ship dynamic positioning system. Ship Eng 2012:307–312

    Google Scholar 

  • Kulikova MV (2015) Square-root adaptive wave filtering for marine vessels. In: 2015 European Control Conference, Linz. Austria 2015:3143–3148

  • Kulikova MV, Tsyganova JV, Semushin I (2016) Adaptive wave filtering for marine vessels within UD-based algorithms. In: 2016 European Control Conference, Aalborg, DK 807–812

  • Li WJ, Xu HX, Feng H (2013) Wave filtering of ship dynamic positioning system using particle filter. Appl Mech Mater 2013:551–555

    Google Scholar 

  • Lin X, Xie Y, Zhao D (2013) Estimation of observer parameters for dynamic positioning ships. Math Probl Eng 1:343–347

    MathSciNet  Google Scholar 

  • Liu Z, Zhang Y, Yu X (2016) Unmanned surface vehicles: an overview of developments and challenges. Annu Rev Control 41:71–93

    Article  Google Scholar 

  • Loueipour M, Keshmiri M, Danesh M, Mojiri M (2015) Wave filtering and state estimation in dynamic positioning of marine vessels using position measurement. IEEE Trans Instrum Meas 64(12):3253–3261

    Article  Google Scholar 

  • Luo Z, Attari M, Habibi S, Mohrenschildt MV (2020) Online multiple maneuvering vehicle tracking system based on multi-model smooth variable structure filter. IEEE T Intell Transp 21(2):603–616

    Article  Google Scholar 

  • Nielsen UD, Galeazzi R, Brodtkorb AH (2016) Evaluation of shipboard wave estimation techniques through model-scale experiments. In: Oceans 2016, Shanghai, China 1–8

  • Rigatos GG (2013) Sensor fusion-based dynamic positioning of ships using extended Kalman and Particle Filtering. Robotica 31(3):389–403

    Article  MathSciNet  Google Scholar 

  • Saelid S, Jenssen N, Balchen J (2003) Design and analysis of a dynamic positioning system based on Kalman filtering and optimal control. IEEE Trans Autom Control 28(3):331–339

    Article  Google Scholar 

  • Shi X, Sun X, Fu M (2011) An Unscented Kalman Filter based wave filtering algorithm for dynamic ship positioning. IEEE Int Conf Autom Logist HK, China 2011:399–404

    Google Scholar 

  • Spiller M, Bakhshande F, Soeffker D (2018) The uncertainty learning filter: a revised smooth variable structure filter. Signal Process 152(12):217–226

    Article  Google Scholar 

  • Torsetnes G, Jouffroy J, Fossen TI (2004) Nonlinear dynamic positioning of ships with gain-scheduled wave filtering. In: 43rd IEEE conference on decision and control, Nassau, Bahamas 2004:5340–5347

  • Triantafyllou M, Bodson M, Athans M (2003) Real time estimation of ship motions using Kalman filtering techniques. IEEE J Oceanic Eng 8(1):9–20

    Article  Google Scholar 

  • Youn W, Gadsden SA (2019) Combined quaternion-based error state kalman filtering and smooth variable structure filtering for robust attitude estimation. IEEE Access 7:148989–149004

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, China

    Yuzhao Jiao, Hongmei Zhao, Xiaolei Wang & Taishan Lou

Authors
  1. Yuzhao Jiao
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  2. Hongmei Zhao
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  3. Xiaolei Wang
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  4. Taishan Lou
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Correspondence to Yuzhao Jiao.

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This manuscript has not been submitted to other journals, and there is no conflict of interest/competing interest.

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In addition, the simulation code of this manuscript can be published if necessary.

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Jiao, Y., Zhao, H., Wang, X. et al. An Improved Smooth Variable Structure Filter and Its Application in Ship Wave Filtering. Iran J Sci Technol Trans Electr Eng 45, 711–719 (2021). https://doi.org/10.1007/s40998-020-00406-5

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  • DOI: https://doi.org/10.1007/s40998-020-00406-5

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