LQG Control of a Two-Wheeled Mobile Pendulum System

In this paper, the linear-quadratic-Gaussian control of a mechatronic system will be studied. The mechatronic system is a special mobile robot (called two-wheeled mobile pendulum) having two-wheels, two contact points with the supporting surface and its center of mass is located under the wheel axis. Due to the mechanical structure, the inner body (which acts as a pendulum between the wheels) tends to oscillate during the translational motion of the robot, thus the application of modern control methods is essential in order to stabilize the dynamical system. In the first part of the paper, the mechatronic system and the corresponding mathematical model are introduced, while in the second part different controllers are designed for the plant. The achieved control performances are analyzed based on simulation and implementation results. Keywords-LQG control; Kalman-filter; mobile robot; selfbalancing robot; future transportation system

[1]  I. Harmati,et al.  Design , realization and modeling of a two-wheeled mobile pendulum system , 2015 .

[2]  Ben S. Cazzolato,et al.  Modeling, simulation and control of an electric diwheel , 2011 .

[3]  Qi Song,et al.  Improved LQG control for small unmanned helicopter based on active model in uncertain environment , 2011, 2011 International Conference on Electronics, Communications and Control (ICECC).

[4]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[5]  Zhiyu Shao,et al.  Balancing control of a unicycle riding , 2010, Proceedings of the 29th Chinese Control Conference.

[6]  Roland Siegwart,et al.  PID vs LQ control techniques applied to an indoor micro quadrotor , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[7]  John T. Wen,et al.  Trajectory tracking control of a car-trailer system , 1997, IEEE Trans. Control. Syst. Technol..

[8]  Jorge Angeles,et al.  A New Family of Two-Wheeled Mobile Robots: Modeling and Controllability , 2007, IEEE Transactions on Robotics.

[9]  Bruno Siciliano,et al.  Modelling and Control of Robot Manipulators , 1997, Advanced Textbooks in Control and Signal Processing.

[10]  Nabil Aouf,et al.  Full linear control of a quadrotor UAV, LQ vs H∞ , 2014, 2014 UKACC International Conference on Control (CONTROL).

[11]  Seonghee Jeong,et al.  Wheeled inverted pendulum type assistant robot: inverted mobile, standing, and sitting motions , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[12]  Greg Welch,et al.  Welch & Bishop , An Introduction to the Kalman Filter 2 1 The Discrete Kalman Filter In 1960 , 1994 .

[13]  Gan Chen,et al.  Robust LQ control for parallel wheeled inverted pendulum , 2013, 2013 Australian Control Conference.

[14]  Seung-Ki Sul,et al.  Kalman filter and LQ based speed controller for torsional vibration suppression in a 2-mass motor drive system , 1995, IEEE Trans. Ind. Electron..