Constraints following control of snake robot by leakage-type adaptive law

A modeling approach and adaptive robust control are proposed for snake robot in this paper. First, the dynamic equation is obtained by dividing the constraints into structural and performance constraints by Udwadia and Kalaba approach. According to this approach, there is no approximation, linearization or extra variables such as Lagrangian multiplier. Next, a leakage-type adaptive law is used to estimate the unknown bound of the uncertainty. This control can guarantee the snake robot follow the trajectory accurately, regardless of uncertainty. In the end, simulation results verify that the movement of snake robot head can satisfy the desired one and the real-time joint torque can be acquired conveniently by using the proposed approach.

[1]  J. Gibbs.  On the Fundamental Formulae of Dynamics , 1879 .

[2]  A. G. Greenhill.  Analytical Mechanics , 1890, Nature.

[3]  P. Appell.  Sur une forme générale des équations de la dynamique. , 1900 .

[4]  P. Ehrenfest,et al.  Die Lagrange-Eulersche Gleichungen der Mechanik , 1905 .

[5]  R. Kalaba,et al.  A new perspective on constrained motion , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[6]  P. Krishnaprasad,et al.  G-snakes: nonholonomic kinematic chains on Lie groups , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[7]  Richard M. Murray,et al.  Geometric phases and robotic locomotion , 1995, J. Field Robotics.

[8]  R. Kalaba,et al.  Analytical Dynamics: A New Approach , 1996 .

[9]  Firdaus E. Udwadia,et al.  Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints , 2001 .

[10]  R. Kalaba,et al.  On the foundations of analytical dynamics , 2002 .

[11]  Firdaus E. Udwadia,et al.  What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems , 2002 .

[12]  F. Udwadia.  A new perspective on the tracking control of nonlinear structural and mechanical systems , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[13]  Masami Iwase,et al.  Control strategy for a snake-like robot based on constraint force and verification by experiment , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[14]  Ye-Hwa Chen,et al.  Constraint-following Servo Control Design for Mechanical Systems , 2009 .

[15]  Bin Li,et al.  A unified dynamic model for locomotion and manipulation of a snake-like robot based on differential geometry , 2010, Science China Information Sciences.

[16]  Ye-Hwa Chen,et al.  Adaptive robust approximate constraint-following control for mechanical systems , 2010, J. Frankl. Inst..

[17]  Pål Liljebäck,et al.  Experimental investigation of a path following controller for planar snake robots , 2010, 2010 11th International Conference on Control Automation Robotics & Vision.

[18]  Pål Liljebäck,et al.  Waypoint guidance control of snake robots , 2011, 2011 IEEE International Conference on Robotics and Automation.

[19]  Pål Liljebäck,et al.  Path Following Control of Planar Snake Robots Using a Cascaded Approach , 2012, IEEE Transactions on Control Systems Technology.