Title
Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems
Abstract
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.
Year
DOI
Venue
2019
10.1155/2019/6235190
COMPLEXITY
DocType
Volume
ISSN
Journal
2019.0
1076-2787
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Jianhua Zhang112012.91
Quanmin Zhu232141.09
Yang Li300.34