Sliding backstepping control design for robotic manipulator systems with motor dynamics

In many industrial applications, the end-effectors of robotic manipulators are required to move from one place to the other and follow some desired trajectories accurately. This paper proposes the nonlinear backstepping design with sliding mode control (SMC) scheme for the trajectory tracking of a robotic manipulator. The main control objective here is not only to track the desired trajectory, but also to cope with the system uncertainty. For realization, the motor dynamics would be considered in our system model. In general, the backstepping with SMC controller can be successfully developed to achieve our control goals for the robot arm system with N links. In addition, an adaptive backstepping design method is proposed to deal with the system uncertainty for the position tracking control of this robotic manipulator. Finally, some comparative simulations are given to illustrate the good performance of the proposed control schemes applied to a two-link robot arm.

[1]  Amit Ailon,et al.  Point-to-point regulation of a robot with flexible joints including electrical effects of actuator dynamics , 1997 .

[2]  H. Sira-Ramirez.  Harmonic response of variable-structure-controlled Van der Pol oscillators , 1987 .

[3]  Ahmed M. Kassem,et al.  Experimental Setup and Robust Servo DC Motor Position Control Based on Gain Schedule Sliding Mode Controller , 2012 .

[4]  Shaheen Ahmad,et al.  Dynamical sliding mode control approach for vertical flight regulation in helicopters , 1994 .

[5]  M. Saad,et al.  Backstepping passivity adaptive position control for robotic manipulators , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[6]  Li-Chen Fu,et al.  Model analysis and controller design of electric motorcycles , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[7]  Zhihua Qu,et al.  Robust tracking control of rigid-link electrically-driven robots , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[8]  Zhang Sheng-xiu,et al.  A simplified state feedback method for nonlinear control based on exact feedback linearization , 2010, 2010 International Conference on Computer Application and System Modeling (ICCASM 2010).

[9]  James K. Mills,et al.  Feedback Linearized Joint Torque Control of a Geared, DC Motor Driven Industrial Robot , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[10]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[11]  Hebertt Sira-Ramírez,et al.  A dynamical variable structure control strategy in asymptotic output tracking problems , 1993, IEEE Trans. Autom. Control..

[12]  Jung-Shan Lin,et al.  Nonlinear and adaptive control design of a helicopter in vertical flight , 2011, 2011 8th Asian Control Conference (ASCC).

[13]  Chun-Yi Su,et al.  Variable structure control of robotic manipulator with PID sliding surfaces , 1998 .

[14]  M. Saad,et al.  Backstepping adaptive position control for robotic manipulators , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[15]  Yorgo Istefanopulos,et al.  A new variable structure PID-controller design for robot manipulators , 2005, IEEE Transactions on Control Systems Technology.

[16]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[17]  Enrique Barbieri,et al.  Optimal PI-lead controller design , 1996, Proceedings of 28th Southeastern Symposium on System Theory.

[18]  Jung-Shan Lin,et al.  Nonlinear adaptive backstepping control design of flexible-joint robotic manipulators , 2011, 2011 8th Asian Control Conference (ASCC).

[19]  P. Olver.  Nonlinear Systems , 2013 .

[20]  James K. Mills,et al.  Feedback Linearized Joint Torque Control of a Geared, DC Motor Driven Industrial Robot , 1998, Int. J. Robotics Res..

[21]  Chun-Yi Su,et al.  A sliding mode controller with bound estimation for robot manipulators , 1993, IEEE Trans. Robotics Autom..