Paper Info
Title
Free-Will Arbitrary Time Terminal Sliding Mode Control
Abstract
In this technical note, free-will arbitrary time terminal sliding mode control design is proposed. With such a design, it is possible to control the time duration of sliding in the sliding phase. Under the assumption that the chosen arbitrary time is greater than the reaching phase time ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$t_{r}$ </tex-math></inline-formula> ), it is shown that the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$n^{\textrm {th}}$ </tex-math></inline-formula> order chain of integrators converges to zero within the selected arbitrary time. An algorithm is also proposed for the case when <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$t_{r}$ </tex-math></inline-formula> is not known to the designer. Stability analysis based on Lyapunov theory has been provided.
Year
DOI
Venue
2022
10.1109/TCSII.2022.3143177
IEEE Transactions on Circuits and Systems II: Express Briefs
Keywords
DocType
Volume
Nonlinear control,terminal sliding mode control (TSMC),free-will arbitrary time TSMC (FATTSMC)
Journal
69
Issue
ISSN
Citations 
7
1549-7747
0
PageRank 
References 
Authors
0.34
8
5
Name
Order
Citations
PageRank
Anil Kumar Pal1183.13
Shyam Kamal200.34
Xinghuo Yu33954300.63
Shyam Krishna Nagar400.34
Bijnan Bandyopadhyay532848.14