Improvement of control precision for ship movement using a multidimensional controller

ABSTRACT This paper presents the influence of a first stage inertial element on the operation of a state space controller for a third dimension object. First chapter presents a brief introduction to linear matrix inequalities as one of the methods of controller analysis and synthesis, with examples, and helps to places the below paper in this wide field of science. Chapter two presents the controlled object, which is a model of a very large crude carrier (VLCC) ship, called Blue Lady, along with its mathematical state space model. Chapter three shows state space controller design using numerical methods of linear equalities optimization, where the given values are u longitudinal, v lateral and r rotational velocities. Presented there is also the implementation method of an inertial element to a multidimensional object for space state controller synthesis. Chapter four shows computer simulation results and focuses on showing influence of the proposed design on control error of the multidimensional closed loop system. Finally, chapter five concludes and comments simulation results and shows possible direction of future studies.

[1]  Agnieszka Lazarowska,et al.  A new deterministic approach in a decision support system for ship's trajectory planning , 2017, Expert Syst. Appl..

[2]  W. Gierusz,et al.  The H2 and Robust Hinf Regulators Applied to Multivariable Ship Steering , 2009 .

[3]  Kim-Chuan Toh,et al.  On the Implementation and Usage of SDPT3 – A Matlab Software Package for Semidefinite-Quadratic-Linear Programming, Version 4.0 , 2012 .

[4]  G. Duan,et al.  LMIs in Control Systems: Analysis, Design and Applications , 2013 .

[5]  Witold Gierusz,et al.  Logic thrust allocation applied to multivariable control of the training ship , 2006 .

[6]  Yan Yu Stability analysis of Fuzzy-Model-Based control systems and its application to control of continuum manipulators , 2019 .

[7]  Krzysztof Kula Model-based controller for ship track-keeping using neural network , 2015, 2015 IEEE 2nd International Conference on Cybernetics (CYBCONF).

[8]  Eric Ostertag,et al.  Mono- and Multivariable Control and Estimation , 2011 .

[9]  Quanmin Zhu,et al.  Mixed \mathrm{{H}}_{2}/\mathrm{{H}}_{\infty } Robust Controller Design Based LMI Techniques , 2014 .

[10]  Aamer Iqbal Bhatti,et al.  Load Varying Polytopic Based Robust Controller Design in LMI Framework for a 2DOF Stabilized Platform , 2011 .

[11]  D. D. Ruscio Model Predictive Control with Integral Action: A simple MPC algorithm , 2013 .

[12]  Hassan Nouri,et al.  Robust controller design based LMI techniques , 2014 .

[13]  Miroslaw Tomera A multivariable low speed controller for a ship autopilot with experimental results , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

[14]  A. Miller,et al.  Methods of controller synthesis using linear matrix inequalities and model predictive control , 2015 .

[15]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[16]  Eric Ostertag Mono- and Multivariable Control and Estimation: Linear, Quadratic and LMI Methods , 2011 .

[17]  Witold Gierusz,et al.  Simulation Model of the Shiphandling Training Boat "Blue Lady" , 2001 .

[18]  Dimitri Peaucelle,et al.  S-Variable Approach to LMI-Based Robust Control , 2014 .

[19]  Monika Rybczak Linear Matrix Inequalities in multivariable ship’s steering , 2012 .

[20]  Wojciech Paszke,et al.  Multidimensional control systems: case studies in design and evaluation , 2015, Multidimens. Syst. Signal Process..

[21]  Endra Joelianto,et al.  Robust control with linear matrix inequality approach for ship steering problem , 2016, 2016 International Conference on Instrumentation, Control and Automation (ICA).

[22]  Mostefa Mohamed-Seghir Computational intelligence method for ship trajectory planning , 2016, 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR).

[23]  Josep Bordonau,et al.  Optimal regulator with integral action and gain-scheduling for the comprehensive control of three-level NPC VSI , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[24]  J. Pomirski,et al.  Control system for trials on material ship model , 2012 .

[25]  Andrzej Łebkowski Evolutionary Methods in the Management of Vessel Traffic , 2015 .

[26]  Anna Miller,et al.  Identification of a multivariable incremental model of the vessel , 2016, 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR).

[27]  Sami Othman,et al.  Multivariable model predictive control of wind turbines in presence of actuator fault , 2017, 2017 8th International Renewable Energy Congress (IREC).

[28]  Mats Gustafsson,et al.  Antenna Current Optimization using MATLAB and CVX , 2016 .

[29]  Jozef Lisowski Analysis of Methods of Determining the Safe Ship Trajectory , 2016 .

[30]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.