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Barrier Function-Based Integral Sliding Mode Controller Design for a Single-Link Rotary Flexible Joint Robot Cover

Barrier Function-Based Integral Sliding Mode Controller Design for a Single-Link Rotary Flexible Joint Robot

Open Access
|May 2024

Figures & Tables

Figure 1:

Rotary flexible joint platform.

Figure 2:

Schematic diagram of the FJR system.

Figure 3:

Overall block diagram of the proposed control system.

Figure 3:

The sliding variable of unactuated controller vs. time.

Figure 4:

The sliding variable of actuated controller vs. time.

Figure 5:

Tracking response (x1) of the FJR and vibration angle (α) vs. time. FJR, flexible joint robot.

Figure 6:

Vibration angle of the FJR vs. time. FJR, flexible joint robot.

Figure 7:

Position tracking error e1 vs. time.

Figure 8:

Controlled voltage (Vm) vs. time.

Figure 9:

Tracking response (x1) of the FJR and vibration angle (α) vs. time. FJR, flexible joint robot.

Figure 10:

Vibration angle of the FJR vs. time. FJR, flexible joint robot.

Nominal parameters of the FJR manipulator

SymbolDescriptionValue
JeqEquivalent moment of inertia of servo motor (kg ∙ m2)0.0018
JarmMoment of inertia of the link (kg ∙ m2)0.0033
BeqThe viscous friction coefficient of the manipulator (Nms /rad)0.015
KsJoint stiffness (N/m)1.3
KmMotor back-EMF constant N/(rad/s)0.0077
KgHigh gear ratio70
KtMotor torque constant (NM/A)0.00767
RmMotor torque constant (Ω)2.6
ηmMotor efficiency0.69
ηgGearbox efficiency0.90

Controllers and observer parameters

ControllersDesign parameters
Unactuated controller (virtual controller)ε1 = 0.01, λ1 = 1, c1 = 16, c2 = 8
Actuated controllerε2 = 0.01, λ2 = 0.01, c3 = 12, c4 = 7
ObserverKo = 1000, γo = 100, τo = 0.0001
Language: English
Submitted on: Sep 13, 2023
Published on: May 4, 2024
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2024 Ahmed Mohsen Mohammad, Shibly Ahmed AL-Samarraie, Alaa Abdulhady Jaber, published by Macquarie University, Australia
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.