Paper Info
Title
Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time.
Abstract
While non-smooth approaches (including sliding mode control) provide explicit feedback laws that ensure finite-time stabilization but in terminal time that depends on the initial condition, fixed-time optimal control with a terminal constraint ensures regulation in prescribed time but lacks the explicit character in the presence of nonlinearities and uncertainties. In this paper we present an alternative to these approaches, which, while lacking optimality, provides explicit time-varying feedback laws that achieve regulation in prescribed finite time, even in the presence of non-vanishing (though matched) uncertain nonlinearities. Our approach employs a scaling of the state by a function of time that grows unbounded towards the terminal time and is followed by a design of a controller that stabilizes the system in the scaled state representation, yielding regulation in prescribed finite time for the original state. The achieved robustness to right-hand-side disturbances is not accompanied by robustness to measurement noise, which is also absent from all controllers that are nonsmooth or discontinuous at the origin.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.06.008
Automatica
Keywords
Field
DocType
Nonlinear control,Fixed-time stabilization,Input-to-state stability,Small-gain theorem
Control theory,Mathematical optimization,Nonlinear system,Optimal control,Control theory,Nonlinear control,Robustness (computer science),Initial value problem,Mathematics,Small-gain theorem,Sliding mode control
Journal
Volume
Issue
ISSN
83
1
0005-1098
Citations 
PageRank 
References 
35
1.04
18
Authors
4
Name
Order
Citations
PageRank
Yong-Duan Song11949108.61
Yujuan Wang224611.57
John Holloway3361.42
Miroslav Krstic44987553.84