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https://doi.org/10.1109/cdc567...
Article . 2024 . Peer-reviewed
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Saturating Sampled-Data Control Design for Lur’e Systems

Authors: da Silva, Joao Manoel Gomes; Tarbouriech, Sophie;

Saturating Sampled-Data Control Design for Lur’e Systems

Abstract

This paper addresses the problem of designing saturating sampled-data control laws for Lur'e type systems. The closed-loop system is modeled as an hybrid system to formally take into account the aperiodic sampling phenomenon and a control law that depends on the time elapsed between two consecutive sampling instants. This control law considers a nonlinear feedback of the sampled state and the previous value of the control signal. Under this setup and the use of timerdependent quadratic Lyapunov functions, regional stabilizing conditions are proposed as timer-dependent linear matrix inequalities (LMIs). Considering an affine timer dependency, an optimization problem based on semi-definite programming is proposed to compute the control law gains aiming at enlarging an estimate of the region of attraction of the closed-loop system. A numerical example illustrates the application of the proposed results.

Keywords

sampled-data systems, Lur'e systems, control saturation, hybrid systems, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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