2016
DOI: 10.1016/j.isatra.2016.04.001
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Improved stability and stabilization design for networked control systems using new quadruple-integral functionals

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Cited by 18 publications
(7 citation statements)
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“…More specifically, in the considered NCS context, from modelling the ZOH behaviour as a saw-tooth function (Fridman et al, 2009;Hetel et al, 2017), refinement can be done in the stability conditions of the corresponding closed-loop system with an input timevarying delay, since its rate of variation is inherently equal to 1, which information can be used with benefit to derive the LMI-based conditions (see e.g. Hetel et al, 2017;Li et al, 2016aLi et al, , 2016bNafir et al, 2021). However, despite the advances bring by all of these studies, and since LMI-based conditions remain only sufficient ones, there is still space for conservatism improvement.…”
Section: Position Of the Current Research Compared To The State-of-th...mentioning
confidence: 99%
See 2 more Smart Citations
“…More specifically, in the considered NCS context, from modelling the ZOH behaviour as a saw-tooth function (Fridman et al, 2009;Hetel et al, 2017), refinement can be done in the stability conditions of the corresponding closed-loop system with an input timevarying delay, since its rate of variation is inherently equal to 1, which information can be used with benefit to derive the LMI-based conditions (see e.g. Hetel et al, 2017;Li et al, 2016aLi et al, , 2016bNafir et al, 2021). However, despite the advances bring by all of these studies, and since LMI-based conditions remain only sufficient ones, there is still space for conservatism improvement.…”
Section: Position Of the Current Research Compared To The State-of-th...mentioning
confidence: 99%
“…Among the different ways to cope with NCS modelling, the input delay approach has been widely used in the literature (Bourahala et al, 2021; Li et al, 2016a; Liu and Li, 2014, 2015; Zhang et al, 2017, 2018b). Indeed, the sampled-data control signals, maintained by a zero-order-hold (ZOH) between the successive transmitting instants, and the network-induced delays, can be conveniently rewritten as an overall time-varying input delay for the continuous-time plant to be controlled (see e.g.…”
Section: Introductionmentioning
confidence: 99%
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“…In comparison to the result obtained in Reference 44, which provides a minimum H ∞ performance are = 0.7864, Theorem 2 provides a better result, which confirm again the conservatism improvement achieved from our proposal. To conclude this example, Figure 5 depicts the closed-loop state responses, the control signal and the external disturbance signal set as (t) = sin(10t) for t ∈ [30,40] and 0 otherwise, with the same initial conditions as for Case 1. This confirms again the effectiveness of our proposal on this benchmark control example of a satellite model with input delay.…”
Section: Numerical Examplesmentioning
confidence: 99%
“…On the other hand, it is seen that inequality (27) is an amplified inequality and could bring some conservatism. Based on the CCL methods in [50,51], it is known that the conservatism of inequality (27) could be further reduced.…”
Section: Remarkmentioning
confidence: 99%