Nonlinear proportional integral controller

Electricity: motive power systems – Positional servo systems – With particular 'error-detecting' means

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318610, 318620, 901 9, B25J 1300

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057214778

ABSTRACT:
A method and apparatus for controlling a hydraulic manipulator defines a position error signal (.theta..sub.e), defining a first control signal (U.sub.P, U.sub.PD) based on the position error (.theta..sub.e) and generating an improved position error integral signal (.theta..sub.I) based on a product of the position error (.theta..sub.e) integral signal and a velocity factor F.sub.V. The velocity factor F.sub.V is based on a derivative of the position error (.theta..sub.e) and a nonlinear function. An integral control signal (U.sub.I) is produced based on the improved position error integral signal (.theta..sub.I) and is combined with the first signal (U.sub.P, U.sub.PD) to provide an output control signal U to control the manipulator. The invention also preferably includes a system to further reduce overshoot by further modifying the position error signal (.theta..sub.e) depending on whether the velocity and acceleration of position are in the same direction and to accommodate stiction at deadband areas of the control by determining a stick induced velocity error signal (.theta..sub.e.sup.stiction) and modifying the control signal when required.

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Nakashima et al; "Application of Semi-Automatic Robot Technology on Hot-Line Maintenance Work", IEEE International Conference on Robotics and Automation, Jun. 1995.
Pelletier and Doyon; "On the Implementation and Performance of Impedance Control on Position Controlled Robots", IEEE 1050-4729/94, 1994.

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