2018
DOI: 10.1177/0142331218799835
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A novel robust non-fragile control approach for a class of uncertain linear systems with input constraints

Abstract: This paper addresses the non-fragile control problem for a class of uncertain linear systems subject to model uncertainty, controller perturbations, fault signals and input constraints. The controller to be designed is supposed to have additive gain perturbations. A novel state feedback controller is proposed based on the exact available expectation of a Bernoulli random variable, which is introduced to model the feature of the controller gain perturbation that randomly occurs. By using Lyapunov stability theo… Show more

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Cited by 5 publications
(7 citation statements)
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“…The uncertain term ∆∈ ℝ × would be extracted by a suitable selection of some internal signals ( ) ∈ ℝ and ( ) ∈ ℝ . Compared to the existing studies [8,48,49], the differential equation ( 5) would be a more general form to represent the uncertainty. Thus many uncertain systems (for instants [8,48]) can be described via Eq.…”
Section: Problem Descriptionmentioning
confidence: 99%
See 4 more Smart Citations
“…The uncertain term ∆∈ ℝ × would be extracted by a suitable selection of some internal signals ( ) ∈ ℝ and ( ) ∈ ℝ . Compared to the existing studies [8,48,49], the differential equation ( 5) would be a more general form to represent the uncertainty. Thus many uncertain systems (for instants [8,48]) can be described via Eq.…”
Section: Problem Descriptionmentioning
confidence: 99%
“…Compared to the existing studies [8,48,49], the differential equation ( 5) would be a more general form to represent the uncertainty. Thus many uncertain systems (for instants [8,48]) can be described via Eq. (5).…”
Section: Problem Descriptionmentioning
confidence: 99%
See 3 more Smart Citations