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Two-Valued Control for a Second-Order Plant with Additive External Disturbance
Joint Authors
Londoño, Felipe
Rincón, Alejandro
Angulo, Fabiola
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-27
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
In this work 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.
American Psychological Association (APA)
Rincón, Alejandro& Londoño, Felipe& Angulo, Fabiola. 2012. Two-Valued Control for a Second-Order Plant with Additive External Disturbance. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001668
Modern Language Association (MLA)
Rincón, Alejandro…[et al.]. Two-Valued Control for a Second-Order Plant with Additive External Disturbance. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1001668
American Medical Association (AMA)
Rincón, Alejandro& Londoño, Felipe& Angulo, Fabiola. Two-Valued Control for a Second-Order Plant with Additive External Disturbance. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001668
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001668