DocumentCode
728676
Title
Predefined-time stability of dynamical systems with sliding modes
Author
Sanchez-Torres, Juan Diego ; Sanchez, Edgar N. ; Loukianov, Alexander G.
Author_Institution
Autom. Control Lab., CINVESTAVIPN, Mexico City, Mexico
fYear
2015
fDate
1-3 July 2015
Firstpage
5842
Lastpage
5846
Abstract
This paper introduces a class of fixed-time stable dynamical systems with settling time as a explicit parameter, namely the inverse the gain. Those systems are defined as predefined-timed stable dynamical systems. Continuous and discontinuous are cases are presented. A detailed Lyapunov characterization of this class of systems is also shown. Finally, the application to the design of a class of first order sliding mode controllers is exposed.
Keywords
Lyapunov methods; stability; time-varying systems; variable structure systems; Lyapunov characterization; first order sliding mode controllers; fixed-time stable dynamical systems; predefined-time stability; predefined-timed stable dynamical systems; sliding modes; Lyapunov methods; Optimization; Robustness; Sliding mode control; Stability analysis; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2015
Conference_Location
Chicago, IL
Print_ISBN
978-1-4799-8685-9
Type
conf
DOI
10.1109/ACC.2015.7172255
Filename
7172255
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