Coupled Error Dynamic Formulation for Modal Control of a Two Link Manipulator Having Two Revolute Joints

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Natraj Mishra
Natraj Mishra

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Coupled Error Dynamic Formulation for Modal Control of a Two Link Manipulator Having Two Revolute Joints

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Abstract

In the present work, reformulation of the dynamics of a planar two-link manipulator has been presented in the form of joint errors and their derivatives. The linear second-order differential equations with time-varying coefficients represent the Coupled Error Dynamics of the system. In these equations, the non-linear centrifugal and Coriolis terms are expressed as linear functions of joint error rates and the non-linear gravity terms as a linear function of joint errors with time-varying coefficients. After inclusion of linearized version of these terms, the concept of modal analysis is used in the design of a control system for the robot. The developed control approach is compared with the commonly used computed-torque control approach, as applied for a high-speed direct-drive two-link manipulator with revolute joints. Thus in the proposed approach for controller design, the system non-linearities are taken as part of the system representation itself instead of disturbances as assumed in existing approaches.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Natraj Mishra. 2026. \u201cCoupled Error Dynamic Formulation for Modal Control of a Two Link Manipulator Having Two Revolute Joints\u201d. Global Journal of Research in Engineering - G: Industrial Engineering GJRE-G Volume 22 (GJRE Volume 22 Issue G1): .

Download Citation

Reliable control of two-link manipulators for advanced engineering applications.
Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-G Classification: DDC Code: 332.041 LCC Code: HB501
Version of record

v1.2

Issue date

May 13, 2022

Language
en
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In the present work, reformulation of the dynamics of a planar two-link manipulator has been presented in the form of joint errors and their derivatives. The linear second-order differential equations with time-varying coefficients represent the Coupled Error Dynamics of the system. In these equations, the non-linear centrifugal and Coriolis terms are expressed as linear functions of joint error rates and the non-linear gravity terms as a linear function of joint errors with time-varying coefficients. After inclusion of linearized version of these terms, the concept of modal analysis is used in the design of a control system for the robot. The developed control approach is compared with the commonly used computed-torque control approach, as applied for a high-speed direct-drive two-link manipulator with revolute joints. Thus in the proposed approach for controller design, the system non-linearities are taken as part of the system representation itself instead of disturbances as assumed in existing approaches.

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Coupled Error Dynamic Formulation for Modal Control of a Two Link Manipulator Having Two Revolute Joints

Natraj Mishra
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