Two-valued control for a second-order plant with additive external disturbance
type: Item
instance of: scholarly article
title: Two-valued control for a second-order plant with additive external disturbance
zbMATH Open document ID: 1264.93037
DOI: 10.1155/2012/527413
author: Felipe Londoño
author: Fabiola Angulo
author: Alejandro Rincon
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A two-valued state feedback control for a plant of second order with known constant coefficients and an additive bounded disturbance is designed. In this controller the control signal can take only two possible values. The controller design is based on Lyapunov-like function method, achieving the convergence of the tracking error to a user-defined residual set. A boundedness condition for the user-defined reference signal is defined, which is necessary to allow out-put tracking. The developed scheme avoids large commutation rate of the control input. The controller design and stability analysis have important contributions with respect to closely related controllers based on the direct Lyapunov method, namely, (i) conditions to guarantee the expected convergence of the tracking error are established. These conditions are imposed on the reference signal and the extreme values of the control input. The stability analysis is developed by means of the Lyapunov-like function method and the Barbalat's Lemma and includes (ii) the bounded nature of the Lyapunov function, (iii) the monotonic convergence of the Lyapunov function to a residual set, and (iv) the asymptotic convergence of the tracking error to a residual set of user-defined size.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6173354
Wikidata QID: Q58911984
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/527413
OpenAlex ID: W2000381857
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description: scientific article; zbMATH DE number 6173354