A New Class of Robust Control Laws for Tracking of Robots

A new class of robust control algorithms is proposed for the trajectory following problem of a robot manipulator. It is shown that every proposed control can guarantee three kinds of global stability results based on the designer's choice: uni formly and ultimately bounded stability, asymptotic stability, and exponential stability. Exact knowledge of robot dynamics is not required except that unknown dynamics must be bounded in Euclidean norm by a second-order polynomial function with known coefficients.

[1]  M. Corless,et al.  Adaptive control of systems containing uncertain functions and unknown functions with uncertain bounds , 1983 .

[2]  J. Böhm,et al.  Robust PID control , 1993 .

[3]  Xi Wang,et al.  Proving the uniform boundedness of some commonly used control schemes for robots , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

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

[5]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[6]  Darren M. Dawson,et al.  Robust estimation and control of robotic manipulators , 1995, Robotica.

[7]  D. Dawson,et al.  Robust control of robots by the computed torque law , 1991 .

[8]  C. Samson Robust control of a class of non-linear systems and applications to robotics , 1987 .

[9]  Suguru Arimoto,et al.  Stability and robustness of PID feedback control for robot manipulators of sensory capability , 1984 .

[10]  Eugenio J. Tacconi,et al.  Adaptive Control for Systems With Time-Delay , 1989 .

[11]  Zhihua Qu,et al.  Exponentially stable trajectory following of robotic manipulators under a class of adaptive controls , 1992, Autom..

[12]  Z. Qu,et al.  Robust tracking control of robots by a linear feedback law , 1991 .

[13]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[14]  F. L. Lewis,et al.  Robust Control for the Tracking of Robot Motion , 1990, 1990 American Control Conference.

[15]  Jing-Sin Liu,et al.  Robust nonlinear control of robotic manipulators , 1990 .

[16]  J. J. Slotine,et al.  Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983, 1983 American Control Conference.