Neural network-based robust finite-time control for robotic manipulators considering actuator dynamics

A novel neural network-based robust finite-time control strategy is proposed for the trajectory tracking of robotic manipulators with structured and unstructured uncertainties, in which the actuator dynamics is fully considered. The controller, which possesses finite-time convergence and strong robustness, consists of two parts, namely a neural network for approximating the nonlinear uncertainty function and a modified variable structure term for eliminating the approximate error and guaranteeing the finite-time convergence. According to the analysis based on the Lyapunov theory and the relative finite-time stability theory, the neural network is asymptotically convergent and the controlled robotic system is finite time stable. The proposed controller is then verified on a two-link robotic manipulator by simulations and experiments, with satisfactory control performance being obtained even in the presence of various uncertainties and external disturbances.

[1]  Feng Gao,et al.  Robust finite-time control approach for robotic manipulators , 2010 .

[2]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[3]  Yiguang Hong,et al.  Finite-time stabilization and stabilizability of a class of controllable systems , 2002, Syst. Control. Lett..

[4]  Tianyou Chai,et al.  Neural-Network-Based Terminal Sliding-Mode Control of Robotic Manipulators Including Actuator Dynamics , 2009, IEEE Transactions on Industrial Electronics.

[5]  Yu Tang,et al.  Terminal sliding mode control for rigid robots , 1998, Autom..

[6]  Zengyun Wang,et al.  Neural network robust H∞ tracking control strategy for robot manipulators , 2010 .

[7]  Yuxin Su,et al.  Global continuous finite‐time tracking of robot manipulators , 2009 .

[8]  Jie Huang,et al.  Finite-time control for robot manipulators , 2002, Syst. Control. Lett..

[9]  Gang Feng A compensating scheme for robot tracking based on neural networks , 1995, Robotics Auton. Syst..

[10]  Chunjiang Qian,et al.  Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems , 2006, IEEE Transactions on Automatic Control.

[11]  Zhihong Man,et al.  Terminal sliding mode observers for a class of nonlinear systems , 2010, Autom..

[12]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[13]  Yuxin Su,et al.  Global finite-time inverse tracking control of robot manipulators , 2011 .

[14]  Xinghuo Yu,et al.  Terminal sliding mode control design for uncertain dynamic systems , 1998 .

[15]  Frank L. Lewis,et al.  Intelligent optimal control of robotic manipulators using neural networks , 2000, Autom..

[16]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[17]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[18]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

[19]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[20]  V. Haimo Finite time controllers , 1986 .

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