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Time‐delay compensation‐based robust control of mechanical manipulators: Operator‐theoretic analysis and experiment validation.

Authors :
Song, Geun Il
Kim, Jung Hoon
Source :
Mathematical Methods in the Applied Sciences. Jan2024, Vol. 47 Issue 1, p318-335. 18p.
Publication Year :
2024

Abstract

This paper provides a new robust control approach to uncertain mechanical manipulators in the computed torque framework. With respect to the fact that model uncertainties occurring from the framework could make the overall system unstable although the resulting nominal plant is stabilized, this paper develops a readily applicable method for estimating such uncertain elements. More precisely, we propose a time‐delay compensation method, by which prior values relevant to the model uncertainties in a sufficiently small time instant are used for such an estimation. The theoretical effectiveness of the proposed method is validated by establishing the two different arguments on operator‐theoretic exponential stability and Lypaunov‐based disturbance input‐to‐state stability. Finally, some simulation and experiment results are provided to demonstrate the overall arguments developed in this paper for both the theoretical and practical aspects. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
174373519
Full Text :
https://doi.org/10.1002/mma.9656