Dynamic modeling based on POE and non-singular terminal sliding mode control

Qingcheng Chen, Shiqiang Zhu, Rajat Mittal, Xuequn Zhang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

To compact the dynamic analysis and improve the computation efficiency, the advantages of Kane's equations and the product of exponential (POE) formulas were combined based on screw theory to propose a new effective dynamic modeling of robot manipulator with explicit geometric significance, and based on this dynamic model, a non-singular terminal sliding mode control was presented to achieve better performance. The velocity Jacobian matrix was addressed in the product of exponential form by introducing the screw theory, and the partial velocity of Kane's equations was selected specifically from the suitable velocity Jacobian matrix. Then a dynamic modeling example based on Kane's equations and screw theory was established, which led to be less complicated compared with other typically dynamic methods. With the proposed dynamic equations of serial robot manipulator, a fast non-singular terminal sliding mode (FNTSM) control was presented by introducing an improved fast non-singular terminal sliding mode surface, which was designed to ensure the fast convergence in global system state whether it was near to equilibrium or far away from the equilibrium. Then the stability analysis of the proposed method was performed by using Lyapunov stability theory. Finally, comparative experiments were implemented to demonstrate the effectiveness and robustness of the proposed approach.

Original languageEnglish
Pages (from-to)310-318
Number of pages9
JournalNongye Jixie Xuebao/Transactions of the Chinese Society for Agricultural Machinery
Volume46
Issue number6
DOIs
Publication statusPublished - 01-01-2015
Externally publishedYes

Fingerprint

Sliding mode control
screws
Jacobian matrices
robots
Manipulators
Robots
Dynamic analysis
Dynamic models
dynamic models
methodology
Experiments

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)
  • Mechanical Engineering

Cite this

Chen, Qingcheng ; Zhu, Shiqiang ; Mittal, Rajat ; Zhang, Xuequn. / Dynamic modeling based on POE and non-singular terminal sliding mode control. In: Nongye Jixie Xuebao/Transactions of the Chinese Society for Agricultural Machinery. 2015 ; Vol. 46, No. 6. pp. 310-318.
@article{14fbb04c5ebe4856b70a7e1396b20103,
title = "Dynamic modeling based on POE and non-singular terminal sliding mode control",
abstract = "To compact the dynamic analysis and improve the computation efficiency, the advantages of Kane's equations and the product of exponential (POE) formulas were combined based on screw theory to propose a new effective dynamic modeling of robot manipulator with explicit geometric significance, and based on this dynamic model, a non-singular terminal sliding mode control was presented to achieve better performance. The velocity Jacobian matrix was addressed in the product of exponential form by introducing the screw theory, and the partial velocity of Kane's equations was selected specifically from the suitable velocity Jacobian matrix. Then a dynamic modeling example based on Kane's equations and screw theory was established, which led to be less complicated compared with other typically dynamic methods. With the proposed dynamic equations of serial robot manipulator, a fast non-singular terminal sliding mode (FNTSM) control was presented by introducing an improved fast non-singular terminal sliding mode surface, which was designed to ensure the fast convergence in global system state whether it was near to equilibrium or far away from the equilibrium. Then the stability analysis of the proposed method was performed by using Lyapunov stability theory. Finally, comparative experiments were implemented to demonstrate the effectiveness and robustness of the proposed approach.",
author = "Qingcheng Chen and Shiqiang Zhu and Rajat Mittal and Xuequn Zhang",
year = "2015",
month = "1",
day = "1",
doi = "10.6041/j.issn.1000-1298.2015.06.045",
language = "English",
volume = "46",
pages = "310--318",
journal = "Nongye Jixie Xuebao/Transactions of the Chinese Society of Agricultural Machinery",
issn = "1000-1298",
publisher = "Chinese Society of Agricultural Machinery",
number = "6",

}

Dynamic modeling based on POE and non-singular terminal sliding mode control. / Chen, Qingcheng; Zhu, Shiqiang; Mittal, Rajat; Zhang, Xuequn.

In: Nongye Jixie Xuebao/Transactions of the Chinese Society for Agricultural Machinery, Vol. 46, No. 6, 01.01.2015, p. 310-318.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Dynamic modeling based on POE and non-singular terminal sliding mode control

AU - Chen, Qingcheng

AU - Zhu, Shiqiang

AU - Mittal, Rajat

AU - Zhang, Xuequn

PY - 2015/1/1

Y1 - 2015/1/1

N2 - To compact the dynamic analysis and improve the computation efficiency, the advantages of Kane's equations and the product of exponential (POE) formulas were combined based on screw theory to propose a new effective dynamic modeling of robot manipulator with explicit geometric significance, and based on this dynamic model, a non-singular terminal sliding mode control was presented to achieve better performance. The velocity Jacobian matrix was addressed in the product of exponential form by introducing the screw theory, and the partial velocity of Kane's equations was selected specifically from the suitable velocity Jacobian matrix. Then a dynamic modeling example based on Kane's equations and screw theory was established, which led to be less complicated compared with other typically dynamic methods. With the proposed dynamic equations of serial robot manipulator, a fast non-singular terminal sliding mode (FNTSM) control was presented by introducing an improved fast non-singular terminal sliding mode surface, which was designed to ensure the fast convergence in global system state whether it was near to equilibrium or far away from the equilibrium. Then the stability analysis of the proposed method was performed by using Lyapunov stability theory. Finally, comparative experiments were implemented to demonstrate the effectiveness and robustness of the proposed approach.

AB - To compact the dynamic analysis and improve the computation efficiency, the advantages of Kane's equations and the product of exponential (POE) formulas were combined based on screw theory to propose a new effective dynamic modeling of robot manipulator with explicit geometric significance, and based on this dynamic model, a non-singular terminal sliding mode control was presented to achieve better performance. The velocity Jacobian matrix was addressed in the product of exponential form by introducing the screw theory, and the partial velocity of Kane's equations was selected specifically from the suitable velocity Jacobian matrix. Then a dynamic modeling example based on Kane's equations and screw theory was established, which led to be less complicated compared with other typically dynamic methods. With the proposed dynamic equations of serial robot manipulator, a fast non-singular terminal sliding mode (FNTSM) control was presented by introducing an improved fast non-singular terminal sliding mode surface, which was designed to ensure the fast convergence in global system state whether it was near to equilibrium or far away from the equilibrium. Then the stability analysis of the proposed method was performed by using Lyapunov stability theory. Finally, comparative experiments were implemented to demonstrate the effectiveness and robustness of the proposed approach.

UR - http://www.scopus.com/inward/record.url?scp=84935473961&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84935473961&partnerID=8YFLogxK

U2 - 10.6041/j.issn.1000-1298.2015.06.045

DO - 10.6041/j.issn.1000-1298.2015.06.045

M3 - Article

VL - 46

SP - 310

EP - 318

JO - Nongye Jixie Xuebao/Transactions of the Chinese Society of Agricultural Machinery

JF - Nongye Jixie Xuebao/Transactions of the Chinese Society of Agricultural Machinery

SN - 1000-1298

IS - 6

ER -