A family of asymptotically stable control laws for flexible robots based on a passivity approach

A general family of asymptotically stabilizing control laws is introduced for a class of nonlinear Hamiltonian systems. The inherent passivity property of this class of systems and the passivity theorem are used to show the closed-loop input/output stability which is then related to the internal state space stability through the stabilizability and detectability condition. Applications of these results include fully actuated robots, flexible-joint robots, and robots with link flexibility.<<ETX>>

[1]  Brad Paden,et al.  A Positive-Real Modification of a Class of Nonlinear Controllers for Robot Manipulators , 1988, 1988 American Control Conference.

[2]  P. Moylan,et al.  Dissipative Dynamical Systems: Basic Input-Output and State Properties , 1980 .

[3]  E. Bayo,et al.  An efficient computation of the inverse dynamics of flexible manipulators in the time domain , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[4]  W. Wonham Linear Multivariable Control: A Geometric Approach , 1974 .

[5]  Roberto Horowitz,et al.  Stability and Robustness Analysis of a Class of Adaptive Controllers for Robotic Manipulators , 1990, Int. J. Robotics Res..

[6]  R. P. Iwens,et al.  Stability of distributed control for large flexible structures using positivity concepts , 1979 .

[7]  Alessandro De Luca Dynamic control of robots with joint elasticity , 1988, ICRA.

[8]  Eduardo Bayo,et al.  Computed torque for the position control of open-chain flexible robots , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[9]  Daniel E. Koditschek,et al.  Adaptive Techniques for Mechanical Systems , 1987 .

[10]  Christopher I. Byrnes,et al.  Stabilization and output regulation of nonlinear systems in the large , 1990, 29th IEEE Conference on Decision and Control.

[11]  Dong-Soo Kwon,et al.  An Inverse Dynamic Method Yielding Flexible Manipulator State Trajectories , 1990, 1990 American Control Conference.

[12]  Leonardo Lanari,et al.  Output regulation of a flexible robot arm , 1990 .

[13]  P. Moylan Implications of passivity in a class of nonlinear systems , 1974 .

[14]  Suguru Arimoto,et al.  Stability Analysis of a One-Link Flexible Arm Control by a Linear Feedback Law , 1987 .

[15]  Giovanni Ulivi,et al.  Exact modeling of the flexible slewing link , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[16]  Petar V. Kokotovic,et al.  An integral manifold approach to the feedback control of flexible joint robots , 1987, IEEE J. Robotics Autom..

[17]  D. Lentini,et al.  Dynamical control of industrial robots with elastic and dissipative joints , 1981 .

[18]  Romeo Ortega,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[19]  T. Apostol Mathematical Analysis , 1957 .

[20]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[21]  Suguru Arimoto,et al.  A New Feedback Method for Dynamic Control of Manipulators , 1981 .

[22]  Eduardo Bayo,et al.  Exponentially Stable Tracking Control for Multi-Joint Flexible-Link Manipulators , 1990, 1990 American Control Conference.

[23]  A. Isidori Nonlinear Control Systems , 1985 .