NDLI: Continuous Twisting Algorithm

Content Provider	IEEE Xplore Digital Library
Author	Torres-Gonzalez, Victor Fridman, Leonid M. Moreno, Jaime A.
Copyright Year	2015
Description	Author affiliation: Facultad de Ingeniería, Universidad Nacional Autónoma de México, D.F. 04510, México (Torres-Gonzalez, Victor) \|\| Institut für Regelungs und Automatisierungstechnik, Technische Universität Graz, Kopernikusgasse 24/II, 8010, Austria (Fridman, Leonid M.) \|\| Instituto de Ingeniería, Universidad Nacional Autónoma de México, D.F. 04510, México (Moreno, Jaime A.)
Abstract	We propose a continuous homogeneous generalization of the Twisting Algorithm. The part of the algorithm ensuring the compensation of the perturbation has the structure of the Twisting algorithm so that we call it Continuous Twisting Algorithm (CTA). For a system with relative degree two and a Lipschitz perturbation CTA provides finite-time convergence to the origin for the output and its first derivative. Moreover, CTA also guarantees the finite-time convergence of the control signal to the uncertainties. The convergence is proved using a smooth strict homogeneous Lyapunov function. The positiveness of the proposed Lyapunov function and the negativeness of its derivative are verified using a method based on Pólya's Theorem.
Starting Page	5397
Ending Page	5401
File Size	880522
Page Count	5
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7403064
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Convergence Lyapunov methods Uncertainty Trajectory Visualization Upper bound Conferences
Content Type	Text
Resource Type	Article

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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