Speed-adaptive roll-angle-tracking control of an unmanned bicycle using fuzzy logic

This paper presents the development of dynamic equations and roll-angle-tracking controller of an unmanned bicycle. First, the equations of motion and constraints of a bicycle with rolling-without-slipping contact condition between wheels and ground are developed using Lagrange's equations. The equations are then used to implement the simulation of the bicycle dynamics. With the bicycle model, a fuzzy-logic controller, which is adaptive to the speed change is implemented to control the bicycle to follow the roll-angle commands. The controller parameters where fuzzy membership functions are presented by scaling factors and deforming coefficients are optimised using genetic algorithms. Results show that the bicycle can follow the roll-angle command with short time delay and the control structure can adapt to a wide range of speed.

[1]  N. H. Getz Internal equilibrium control of a bicycle , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[2]  Simos A. Evangelou,et al.  Advances in the Modelling of Motorcycle Dynamics , 2004 .

[3]  Arend L. Schwab,et al.  Benchmark results on the linearized equations of motion of an uncontrolled bicycle , 2005 .

[4]  Thanh-Son Dao,et al.  Fuzzy Control for Equilibrium and Roll-Angle Tracking of an Unmanned Bicycle , 2006 .

[5]  N. H. Getz Control of balance for a nonlinear nonholonomic non-minimum phase model of a bicycle , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[6]  Woonchul Ham,et al.  Control Algorithm for Stabilization of Tilt Angle of Unmanned Electric Bicycle , 2001 .

[7]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

[8]  Chih-Keng Chen,et al.  Genetic Fuzzy Control for Path-Tracking of an Autonomous Robotic Bicycle , 2007 .

[9]  Y. Yavin,et al.  Stabilization and control of the motion of an autonomous bicycle by using a rotor for the tilting moment , 1999 .

[10]  D. E. Jones The stability of the bicycle , 1970 .

[11]  A. V. Lensky,et al.  Control of autonomous motion of two-wheel bicycle with gyroscopic stabilisation , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[12]  Jerrold E. Marsden,et al.  Control for an autonomous bicycle , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[13]  Robin S. Sharp,et al.  Motorcycle Steering Control by Road Preview , 2007 .

[14]  Arend L. Schwab,et al.  Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  Robin S. Sharp On the Stability and Control of the Bicycle , 2008 .