Abstract

The vibration caused by resonance modes frequently occurs during acceleration and deceleration of the modular joint integrated with flexible harmonic drive. The conventional equivalent rigid-body velocity method with observer can suppress the residual vibration induced by resonant frequency but has poor robustness to model uncertainties and external disturbances. Moreover, it cannot eliminate the torque ripple caused by the harmonic drive during low-speed uniform motion, reducing the velocity tracking accuracy. Hence, a velocity controller with a rigid-body state observer and an adjustable damper is designed to improve the robust performance and velocity tracking accuracy. The designed rigid-body state observer allows a higher gain so that the bandwidth of the observer can increase, and the equivalent rigid-body velocity can be acquired more accurately. Notably, the high gain observer reduces the sensitivity to model uncertainties and exotic disturbances, especially near the resonant frequency. In addition, the observer combined with an adjustable damper can suppress the residual vibration and torque ripple simultaneously. The proposed method is compared experimentally with a PI method and two other rigid-body velocity methods, such as the conventional equivalent rigid-body observer method and the self-resonance cancellation method, to verify its advantages.

Highlights

  • The modular joint with flexible Harmonic Drive (HD) is commonly used in collaborative robots due to its lightweight, high gear reduction ratio, and high power density [1]

  • This paper proposes a velocity control method to reduce the sensitivity to model uncertainties and external disturbances near the system resonant frequency, improving the robust stability and velocity tracking accuracy

  • Compared with the Equivalent Rigid-Body Observer (ERBO) method, the proposed method reduces the sensitivity to the model uncertainties near the resonant frequency, increasing system robustness

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Summary

Introduction

The modular joint with flexible Harmonic Drive (HD) is commonly used in collaborative robots due to its lightweight, high gear reduction ratio, and high power density [1]. Under the premise of system stability, the gain has to be small, resulting in the limited bandwidth of the observer and poor robustness to model uncertainties and external disturbances It only works on the residual vibration while it has no effects on the torque ripple because of its phase adjuster, which reduces the velocity tracking accuracy during uniform motion. This paper proposes a velocity control method to reduce the sensitivity to model uncertainties and external disturbances near the system resonant frequency, improving the robust stability and velocity tracking accuracy. Under the premise of system stability and R = 1, the model uncertainties and external disturbances can be effectively cancelled with a sufficiently high gain Kn. In order to avoid the identification of Tn, Tn is designed to be unity in [29], where the nominal model of its observer only contains the rigid-body dynamics. Satisfaction of the following condition guarantees the robust stability of the whole closed-loop system: λU (s)

Adjustable Damper Design
Controller Analysis
Controller Parameters Analysis
Robust Stability Analysis
Performance of Vibration Suppression
Method
Robustness to Model Uncertainties
Robustness to External Disturbances
Findings
Conclusions
Full Text
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