Paper Info
Title
Input–Output Finite-Time Stabilization of Linear Time-Varying Discrete-Time Systems
Abstract
This article deals with the input–output finite-time stability (IO-FTS) of linear discrete-time systems. In current control science, discrete-time systems play a very important role in many engineering contexts. Moreover, many discrete-time control problems are defined over a <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">finite</i> -interval of time; therefore, the development and application of finite-time control methodologies is of particular relevance. The first contribution of this article is a pair of necessary and sufficient conditions for IO-FTS. The former involves the solution of a set of generalized difference Lyapunov equations; the latter allows one to establish the feasibility of an optimization problem by solving a set of difference linear matrix inequalities (DLMIs). The second contribution of this article is a theorem for IO finite-time stabilization via state feedback, followed by a more general one for stabilization via output feedback. Both conditions are necessary and sufficient, and lead to optimization problems cast in the form of DLMIs. The applicability of the devised results is illustrated through a numerical example.
Year
DOI
Venue
2022
10.1109/TAC.2022.3161374
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Controller design,input–output finite-time stability (IO-FTS),linear discrete-time systems,LMI
Journal
67
Issue
ISSN
Citations 
9
0018-9286
0
PageRank 
References 
Authors
0.34
10
5
Name
Order
Citations
PageRank
Francesco Amato141948.74
Carlo Cosentino200.34
G. De Tommasi3576.19
Alfredo Pironti400.34
Maria Romano500.34