Research Article Open Access

A Cartesian Regulator for an Ideal Position-Servo Actuated Didactic Mechatronic Device: Asymptotic Stability Analysis

Gabriela Zepeda1, Rafael Kelly1 and Carmen Monroy2
  • 1 Department of Applied Physics, Ensenada Center for Scientific Research and Higher Education (CICESE), Mexico
  • 2 ISEP–Sistema Educativo Estatal, Ensenada, B.C., Mexico

Abstract

Position-servoactuators are by themselves feedback mechatronics systems modeled by OrdinaryDifferential Equations (ODE). From a technological point of view,position-servos are based upon an electrical motor, a shaft angular positionsensor, and a dominant Proportional controller. These position servo actuatorsare at the core of several real-life practical and didactic mechatronics androbotics systems. The contribution of this study is the introduction of a novelposition regulator in Cartesian space and the stability analysis of areal-world mechatronic system involving the following mechatronics ingredients:A position servo actuated pendulum endowedwith position sensing for feedback and a novel nonlinear integral controllerfor direct position regulation in Cartesian space avoiding the inversekinematics computational burden. Because of the nonlinear nature of the controlsystem, the standard analysis tools from classic linear control cannot beutilized, thus this study invokes Lyapunov stability arguments to proveasymptotic stability and to provide an estimate of the domain of attraction.

American Journal of Engineering and Applied Sciences
Volume 15 No. 3, 2022, 189-196

DOI: https://doi.org/10.3844/ajeassp.2022.189.196

Submitted On: 23 August 2022 Published On: 16 September 2022

How to Cite: Zepeda, G., Kelly, R. & Monroy, C. (2022). A Cartesian Regulator for an Ideal Position-Servo Actuated Didactic Mechatronic Device: Asymptotic Stability Analysis. American Journal of Engineering and Applied Sciences, 15(3), 189-196. https://doi.org/10.3844/ajeassp.2022.189.196

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Keywords

  • Actuators
  • Position Servo
  • Pendulum
  • Control
  • Stability
  • Domain of Attraction
  • Nonlinear Systems
  • Differential Equations
  • Robotics