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The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a first order time derivative term distributed in the…

Analysis of PDEs · Mathematics 2019-01-07 Lucie Baudouin , Swann Marx , Sophie Tarbouriech

This paper studies the problem of stabilization of a nonlinear system with time-varying delays in both sensing and actuation using event-triggered control. Our proposed strategy seeks to opportunistically minimize the number of control…

Systems and Control · Computer Science 2020-01-14 Erfan Nozari , Pavankumar Tallapragada , Jorge Cortés

This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Kexue Zhang , Bahman Gharesifard , Elena Braverman

This paper aims at proposing a sufficient matrix inequality condition to carry out the global exponential stability of the wave equation under an event-triggering mechanism that updates a damping source term. The damping is distributed in…

Analysis of PDEs · Mathematics 2021-07-02 Florent Koudohode , Lucie Baudouin , Sophie Tarbouriech

This paper addresses the problem of event-triggered control for infinite-dimensional systems. We employ event-triggering mechanisms that compare the plant state and the error of the control input induced by the event-triggered…

Optimization and Control · Mathematics 2019-12-02 Masashi Wakaiki , Hideki Sano

This paper studies the event-triggered control problem for time-delay systems. A novel event-triggering scheme is proposed to exponentially stabilize a class of linear time-delay systems. By employing a new Halanay-type inequality and the…

Optimization and Control · Mathematics 2023-08-17 Kexue Zhang

This article presents an analysis of the stabilization of a multidimensional partial differential wave equation under a well designed event-triggering mechanism that samples the boundary control input. The wave equation is set in a bounded…

Optimization and Control · Mathematics 2023-03-02 Lucie Baudouin , Swann Marx , Sophie Tarbouriech , Julie Valein

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman , Bahman Gharesifard

This paper proposes an event-triggered control scheme for multivariable extremum seeking of static maps. Both static and dynamic triggering conditions are developed. Integrating Lyapunov and averaging theories for discontinuous systems, a…

Optimization and Control · Mathematics 2023-12-15 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Liu Hsu , Mamadou Diagne , Miroslav Krstic

In this paper we deal with infinite-dimensional nonlinear forward complete dynamical systems which are subject to external disturbances. We first extend the well-known Datko lemma to the framework of the considered class of systems. Thanks…

Optimization and Control · Mathematics 2020-02-18 Ihab Haidar , Yacine Chitour , Paolo Mason , Mario Sigalotti

This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two boundaries but leading to a stable open-loop system. The…

Optimization and Control · Mathematics 2019-04-22 Matthieu Barreau , Alexandre Seuret , Frédéric Gouaisbaut

In this paper, we present a new class of event triggering mechanisms for event-triggered control systems. This class is characterized by the introduction of an internal dynamic variable, which motivates the proposed name of dynamic event…

Systems and Control · Computer Science 2014-09-15 Antoine Girard

This paper addresses the following question: "Suppose that a state-feedback controller stabilizes an infinite-dimensional linear continuous-time system. If we choose the parameters of an event/self-triggering mechanism appropriately, is the…

Optimization and Control · Mathematics 2022-07-05 Masashi Wakaiki , Hideki Sano

This paper is about the stabilization of a cascade system composed by an infinite-dimensional system, that we suppose to be exponentially stable, and an ordinary differential equation (ODE), that we suppose to be marginally stable. The…

Analysis of PDEs · Mathematics 2021-11-10 Swann Marx , Daniele Astolfi , Vincent Andrieu

The paper proposes a novel event-triggered control scheme for nonlinear systems based on the input-delay method. Specifically, the closed-loop system is associated with a pair of auxiliary input and output. The auxiliary output is defined…

Systems and Control · Computer Science 2020-10-23 Lijun Zhu , Zhiyong Chen , David J. Hill , Shengli Du

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE…

Analysis of PDEs · Mathematics 2019-01-09 A Terrand-Jeanne , Vincent Andrieu , Valérie Dos Santos Martins , C. -Z Xu

With the unceasing growth of intelligent production lines that integrate sensors, actuators, and controllers in a wireless communication environment via internet of things (IoT), we design an event-triggered boundary controller for a…

Optimization and Control · Mathematics 2020-04-07 Mamadou Diagne , Iasson Karafyllis

Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS)…

Systems and Control · Computer Science 2019-04-04 Anton V. Proskurnikov , Manuel Mazo

This study addresses the intricate challenge of decentralized output-feedback control for stochastic non-triangular nonlinear interconnected systems with unknown time-varying sensor sensitivity in a dynamic event-triggered context. The…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Libei Sun , Yongduan Song , Maolong Lv

We present a prescriptive framework for the event-triggered control of nonlinear systems. Rather than closing the loop periodically, as traditionally done in digital control, in event-triggered implementations the loop is closed according…

Optimization and Control · Mathematics 2011-08-30 Romain Postoyan , Adolfo Anta , Dragan Nesic , Paulo Tabuada
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