Title
Constrained Reference Tracking via Structured Input–Output Finite-Time Stability
Abstract
In this article, the control approach based on structured input–output finite-time stability (IO-FTS) is extended to tackle the reference tracking problem. IO-FTS was originally introduced to deal with the disturbance rejection problem. By applying the finite-time stability control to a properly augmented system, we show that it is possible to enforce a set of specific requirements on the response of the closed-loop system during the transients, taking also into account saturation constraints on the actuators. Adding IO-FTS constraints to classic-state-feedback control law leads to a feasibility problem with bilinear matrix inequality (BMI) constraints. Herein, we show how the original BMI problem can be relaxed to a linear matrix inequality (LMI) one, which comes at a price of more conservatism, but turns out to be computationally more efficient. To prove the effectiveness of the proposed approach, we consider the case of the longitudinal control of a missile.
Year
DOI
Venue
2022
10.1109/TSMC.2022.3155691
IEEE Transactions on Systems, Man, and Cybernetics: Systems
Keywords
DocType
Volume
Bilinear matrix inequalities (BMIs),constrained control,input–output finite-time control,linear matrix inequalities (LMIs),missile autopilot
Journal
52
Issue
ISSN
Citations 
12
2168-2216
0
PageRank 
References 
Authors
0.34
14
6
Name
Order
Citations
PageRank
Gaetano Tartaglione163.40
M. Ariola222825.36
Gianmaria De Tommasi37811.50
Alberto Petrillo4366.01
Stefania Santini524325.03
Francesco Amato641948.74