2021
DOI: 10.1002/rnc.5622
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Dynamic event‐triggered control for singularly perturbed systems

Abstract: In this paper, we consider event‐triggered control for linear singularly perturbed systems. A composite event‐triggered controller is proposed based on the decoupled slow and fast subsystems which are triggered simultaneously. Two internal dynamic variables are introduced in the event‐triggered mechanism. The results indicate that the systems can achieve asymptotic stability with the proposed event‐triggered control. In addition, the triggering time intervals have a finite lower bound independent of the initia… Show more

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Cited by 16 publications
(11 citation statements)
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“…Suppose 𝛿 = 0.15. Then, by solving the LMI (20) in Theorem 1, we have Moreover, the feasible solutions of the LMIs ( 28)-( 29) in Theorem 2 are as follows:…”
Section: Comparison Of the Pwl Model And The Augment Model Methodsmentioning
confidence: 99%
See 3 more Smart Citations
“…Suppose 𝛿 = 0.15. Then, by solving the LMI (20) in Theorem 1, we have Moreover, the feasible solutions of the LMIs ( 28)-( 29) in Theorem 2 are as follows:…”
Section: Comparison Of the Pwl Model And The Augment Model Methodsmentioning
confidence: 99%
“…This advantage will be proved in the example section. On the other hand, compared with the PWL model method, less free variables are involved by using the augmented model method, see LMI (20). Thus, the computation is reduced.…”
Section: Piecewise Linear Modelmentioning
confidence: 99%
See 2 more Smart Citations
“…In order to solve the finite time tracking control problem, an adjustable time performance function was introduced in [18], and the controller design can smoothly switch between fixed and relative threshold strategies. In [10] , a dynamic event-triggered control scheme was designed for singularly perturbed systems.…”
Section: Introductionmentioning
confidence: 99%