Adaptive Backstepping Control for a Class of Uncertain Nonaffine Nonlinear Time-Varying Delay Systems with Unknown Dead-Zone Nonlinearity
Joint Authors
Zhou, Wei dong
Liao, Cheng-Yi
Zheng, Lan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
An adaptive backstepping controller is constructed for a class of nonaffine nonlinear time-varying delay systems in strict feedback form with unknown dead zone and unknown control directions.
To simplify controller design, nonaffine system is first transformed into an affine system by using mean value theorem and the unknown nonsymmetric dead-zone nonlinearity is treated as a combination of a linear term and a bounded disturbance-like term.
Owing to the universal approximation property, fuzzy logic systems (FLSs) are employed to approximate the uncertain nonlinear part in controller design process.
By introducing Nussbaum-type function, the a priori knowledge of the control gains signs is not required.
By constructing appropriate Lyapunov-Krasovskii functionals, the effect of time-varying delay is compensated.
Theoretically, it is proved that this scheme can guarantee that all signals in closed-loop system are semiglobally uniformly ultimately bounded (SUUB) and the tracking error converges to a small neighbourhood of the origin.
Finally, the simulation results validate the effectiveness of the proposed scheme.
American Psychological Association (APA)
Zhou, Wei dong& Liao, Cheng-Yi& Zheng, Lan. 2014. Adaptive Backstepping Control for a Class of Uncertain Nonaffine Nonlinear Time-Varying Delay Systems with Unknown Dead-Zone Nonlinearity. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033983
Modern Language Association (MLA)
Zhou, Wei dong…[et al.]. Adaptive Backstepping Control for a Class of Uncertain Nonaffine Nonlinear Time-Varying Delay Systems with Unknown Dead-Zone Nonlinearity. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1033983
American Medical Association (AMA)
Zhou, Wei dong& Liao, Cheng-Yi& Zheng, Lan. Adaptive Backstepping Control for a Class of Uncertain Nonaffine Nonlinear Time-Varying Delay Systems with Unknown Dead-Zone Nonlinearity. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033983
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033983