Observer-based robust integral of the sign of the error control of class I of underactuated mechanical systems: Theory and real-time experiments - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Journal Articles Transactions of the Institute of Measurement and Control Year : 2021

Observer-based robust integral of the sign of the error control of class I of underactuated mechanical systems: Theory and real-time experiments

Abstract

In this paper, the control problem of a class I of underactuated mechanical systems (UMSs) is addressed. The considered class includes nonlinear UMSs with two degrees of freedom and one control input. Firstly, we propose the design of a robust integral of the sign of the error (RISE) control law, adequate for this special class. Based on a change of coordinates, the dynamics is transformed into a strict-feedback (SF) form. A Lyapunov-based technique is then employed to prove the asymptotic stability of the resulting closed-loop system. Numerical simulation results show the robustness and performance of the original RISE toward parametric uncertainties and disturbance rejection. A comparative study with a conventional sliding mode control reveals a significant robustness improvement with the proposed original RISE controller. However, in real-time experiments, the amplification of the measurement noise is a major problem. It has an impact on the behaviour of the motor and reduces the performance of the system. To deal with this issue, we propose to estimate the velocity using the robust Levant differentiator instead of the numerical derivative. Real-time experiments were performed on the testbed of the inertia wheel inverted pendulum to demonstrate the relevance of the proposed observer-based RISE control scheme. The obtained real-time experimental results and the obtained evaluation indices show clearly a better performance of the proposed observer-based RISE approach compared to the sliding mode and the original RISE controllers.
Fichier principal
Vignette du fichier
timc_20_0748_R1.pdf (2.82 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

lirmm-03312753 , version 1 (02-08-2021)

Identifiers

Cite

Afef Hfaiedh, Ahmed Chemori, Afef Abdelkrim. Observer-based robust integral of the sign of the error control of class I of underactuated mechanical systems: Theory and real-time experiments. Transactions of the Institute of Measurement and Control, 2021, 44 (2), pp.#014233122110313. ⟨10.1177/01423312211031396⟩. ⟨lirmm-03312753⟩
57 View
133 Download

Altmetric

Share

Gmail Facebook X LinkedIn More