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This paper provides an observer-based event-triggered boundary control strategy for the one-phase Stefan problem using the position and velocity measurements of the moving interface. The infinite-dimensional backstepping approach is used to…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Bhathiya Rathnayake , Mamadou Diagne

This paper presents a safe stabilization of the Stefan PDE model with a moving boundary governed by a high-order dynamics. We consider a parabolic PDE with a time-varying domain governed by a second-order response with respect to the…

Optimization and Control · Mathematics 2025-10-09 Shumon Koga , Miroslav Krstic

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

While many event-triggered control strategies are available in the literature, most of them are designed ignoring the presence of measurement noise. As measurement noise is omnipresent in practice and can have detrimental effects, for…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Koen J. A. Scheres , Romain Postoyan , W. P. Maurice H. Heemels

We introduce a dynamic event-triggering mechanism for regulating the axonal growth of a neuron. We apply boundary actuation at the soma (the part of a neuron that contains the nucleus) and regulate the dynamics of tubulin concentration and…

Optimization and Control · Mathematics 2024-03-19 Cenk Demir , Shumon Koga , Miroslav Krstic

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

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 studies impulsive stabilization of nonlinear systems. We propose two types of event-triggering algorithms to update the impulsive control signals with actuation delays. The first algorithm is based on continuous event detection,…

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

We propose a real-time control strategy that combines self-triggered control with Control Lyapunov Functions (CLF) and Control Barrier Functions (CBF). Similar to related works proposing CLF-CBF-based controllers, the computation of the…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Calin Belta , Roberto Tron

We present an event-triggered boundary control scheme for hyperbolic systems. The trigger condition is based on predictions of the state on determinate sets, where the control input is only updated if the predictions deviate from the…

Optimization and Control · Mathematics 2022-03-18 Timm Strecker , Michael Cantoni , Ole Morten Aamo

This paper provides observer-based sampled-data and event-triggered boundary control strategies for a class of reaction-diffusion PDEs with collocated sensing and Robin actuation. Infinite-dimensional backstepping design is used as the…

Systems and Control · Electrical Eng. & Systems 2021-08-21 Bhathiya Rathnayake , Mamadou Diagne , Iasson Karafyllis

We present an event-triggered boundary control scheme for a class of reaction-diffusion PDEs using operator learning and backstepping method. Our first-of-its-kind contribution aims at learning the backstepping kernels, which inherently…

Optimization and Control · Mathematics 2025-04-03 Hongpeng Yuan , Ji Wang , Mamadou Diagne

This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary…

Optimization and Control · Mathematics 2020-05-29 Iasson Karafyllis , Nicolas Espitia , Miroslav Krstic

This paper presents an event-triggered boundary control strategy for a class of reaction-diffusion PDEs with time-varying reactivity under Robin actuation. The control approach consists of a backstepping full-state feedback boundary…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Bhathiya Rathnayake , Mamadou Diagne

In this work, we consider the problem of event-triggered implementation of control laws designed for the local stabilization of nonlinear systems with center manifolds. We propose event-triggering conditions which are derived from a local…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Akshit Saradagi , Vijay Muralidharan , Arun D. Mahindrakar , Pavankumar Tallapragada

This paper presents results for the sampled-data boundary feedback control to the Stefan problem. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a material's temperature profile…

Optimization and Control · Mathematics 2019-06-05 Shumon Koga , Iasson Karafyllis , Miroslav Krstic

In this paper, we study the problem of hybrid event-triggered control for a class of nonlinear time-delay systems. Using a Razumikhin-type input-to-state stability result for time-delay systems, we design an event-triggered control…

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

This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Nicolas Espitia , Iasson Karafyllis , Miroslav Krstic

This article aims at providing a unified analysis of the exponential stabilization of some abstract infinite dimensional systems undergoing an event-triggering mechanism that samples the control input. The partial differential equation is…

Analysis of PDEs · Mathematics 2025-08-11 Lucie Baudouin , Sylvain Ervedoza

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
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