On the stability of the robot compliant motion control (input output approach)

The work presented here is a practical, nonlinear controller design methodology for robot manipulators. This methodology guarantees: 1) the robot end-point follows an input command vector "closely" when the robot is not constrained by the environment, and 2) the contact force is a function of the same input command vector (used in the unconstrained environment) when the robot is constrained by the environment. The controller is capable of "handling" both constrained and unconstrained maneuverings, and is robust to bounded uncertainties in the robot dgnamics. The controller does not need any hardware or software switch for the transition between unconstrained and constrained maneuvering. Stability of the environment and the manipulator as a whole has been investigated, and a bound for stable manipulation has been derived.

[1]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation , 1984, 1984 American Control Conference.

[2]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[3]  John J. Craig,et al.  Hybrid position/force control of manipulators , 1981 .

[4]  Jean-Jacques E. Slotine,et al.  The Robust Control of Robot Manipulators , 1985 .

[5]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[6]  Matthew T. Mason,et al.  Compliance and Force Control for Computer Controlled Manipulators , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  M. Vidyasagar,et al.  Roboust nonlinear control of robot manipulators , 1985, 1985 24th IEEE Conference on Decision and Control.

[8]  Homayoon Kazerooni,et al.  On the loop transfer recovery , 1986 .

[9]  Thomas B. Sheridan,et al.  Robust compliant motion for manipulators, part II: Design method , 1986, IEEE J. Robotics Autom..

[10]  J. Salisbury,et al.  Active stiffness control of a manipulator in cartesian coordinates , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[11]  Daniel E. Whitney,et al.  Quasi-Static Assembly of Compliantly Supported Rigid Parts , 1982 .

[12]  M. Athans,et al.  Robustness results in linear-quadratic Gaussian based multivariable control designs , 1981 .

[13]  Daniel E. Whitney,et al.  Force Feedback Control of Manipulator Fine Motions , 1977 .

[14]  T. B. Sheridan,et al.  An Approach to Loop Transfer Recovery using Eigenstructure Assignment , 1985, 1985 American Control Conference.

[15]  Homayoon Kazerooni,et al.  An Approach to Automated Deburring by Robot Manipulators , 1986 .