Exponential Stability and Tuning for a Class of Mechanical Systems

 

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Bibliographic Details
Authors: Chan Zheng, Carmen, Borja Rosales, Luis Pablo, Scherpen, Jacquelien M. A., Monshizadeh, Nima
Publication Date:2021
Description:In this paper, we prove the exponential stability property of a class of mechanical systems represented in the port-Hamiltonian framework. To this end, we propose a Lyapunov candidate function different from the Hamiltonian of the system. Moreover, we study how the proposed analysis can be used to determine the exponential stability and the rate of convergence of some (nonlinear)-mechanical systems stabilized by a passivity-based control technique, namely, PID passivity-based control. We implement such a control approach to stabilize a three-degree-of-freedom robotic arm at the desired equilibrium point to illustrate the mentioned analysis.
Country:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Language:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/105079
Online Access:https://hdl.handle.net/10669/105079
https://doi.org/10.23919/ECC54610.2021.9655218
Keyword:Stability
Europe
Manipulators
Control systems
Mechanical factors
Control theory
Mechanical systems
port-Hamiltonian framework