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Constrained Reference Tracking via Structured Input-Output Finite-Time Stability

delete2022-12-01
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PRE
AI
G
Gaetano Tartaglione *
M
M. Ariola
G
G. De Tommasi
A
Alberto Petrillo
S
Stefania Santini
F
Francesco Amato
DOI:10.1109/TSMC.2022.3155691delete
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Abstract

Abstract

En 中文
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.
Keywords:
Bilinear matrix inequalities (BMIs)
constrained control
input-output finite-time control
linear matrix inequalities (LMIs)
missile autopilot

Journal

IEEE Transactions on Cybernetics cover
IEEE Transactions on Cybernetics
IF:
10.5
Papers:
1.1W
Citations:
5.0W

Organization

P
Parthenope University Naples
Scholars:
2.5K
Papers: 2.9K
Citations: 10
U
University of Naples Federico II
Scholars:
4.7W
Papers: 3.6W
Citations: 51