Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems
Joint Authors
Zhu, Quanmin
Zhang, Jianhua
Li, Yang
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control.
The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapunov function.
Therefore, precise convergence time is presented instead of estimation of the upper bound of the algorithm’s reaching time.
Regardless of affine or nonaffine nonlinear systems, supertwisting control (STC) provides a general solution based on virtual control law skill ensuring the output of the systems converges to the origin point at exact time.
Benchmark tests are simulated to demonstrate the effectiveness and efficiency of the algorithm.
American Psychological Association (APA)
Zhang, Jianhua& Zhu, Quanmin& Li, Yang. 2019. Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems. Complexity،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1132371
Modern Language Association (MLA)
Zhang, Jianhua…[et al.]. Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems. Complexity No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1132371
American Medical Association (AMA)
Zhang, Jianhua& Zhu, Quanmin& Li, Yang. Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems. Complexity. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1132371
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132371