From PID to Extended Learning Control

Cristiano Maria Verrelli

2012

Abstract

It has been recently shown in Marino, Tomei, and Verrelli (2011) that the output error feedback regulation problem with (unknown) periodic reference and/or disturbance signals of known common period can be effectively solved for the class of single-input, single-output, minimum phase, nonlinear, time-invariant systems in output feedback form (of known relative degree one or two) which are affected by unknown parameters and unknown output-dependent nonlinearities. The resulting nonlinear control, which relies on advanced learning control techniques, can be interpreted as a generalization of the classical PID control which solves the problem when both reference and disturbance signals are constant. In this paper, we present sophisticated analytical arguments which prove that the learning control designed in Marino, Tomei, and Verrelli (2011) can be endowed with a period identifier when the output reference signal is periodic of uncertain period but available at each time instant. The generalized resulting control preserves the achievement of the closed loop properties obtained in Marino, Tomei, and Verrelli (2011) while maintaining an overall simple structure. The application of the presented control techniques to the position synchronization problem for current-fed permanent magnet step motors with non-sinusoidal flux distribution and uncertain position-dependent load torque allows us to provide a solution to a yet unsolved problem.

Paper Citation

in Harvard Style

Maria Verrelli C. (2012). From PID to Extended Learning Control . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 464-469. DOI: 10.5220/0004029104640469

in Bibtex Style

@conference{icinco12,
author={Cristiano Maria Verrelli},
title={From PID to Extended Learning Control},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={464-469},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004029104640469},
isbn={978-989-8565-21-1},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - From PID to Extended Learning Control
SN - 978-989-8565-21-1
AU - Maria Verrelli C.
PY - 2012
SP - 464
EP - 469
DO - 10.5220/0004029104640469