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This paper introduces the first observer-based periodic event-triggered control (PETC) and self-triggered control (STC) for boundary control of a class of parabolic PDEs using PDE backstepping control. We introduce techniques to convert a…

Optimization and Control · Mathematics 2025-01-16 Bhathiya Rathnayake , Mamadou Diagne

We propose self-triggered control schemes for nonlinear systems with quantized state measurements. Our focus lies on scenarios where both the controller and the self-triggering mechanism receive only the quantized state at each sampling…

Optimization and Control · Mathematics 2025-04-08 Masashi Wakaiki

In view of the problems of large consumption of communication and computing resources in the control process, this note studies a fundamental property for a class of multi-agent systems under event-triggered strategy: the S-stabilizability…

Multiagent Systems · Computer Science 2022-09-27 Yinshuang Sun , Zhijian Ji , Yungang Liu , Chong Lin

Event-triggered approach to networked control systems is used to reduce the workload of the communication network. For the static output-feedback continuous event-trigger may generate an infinite number of sampling instants in finite time…

Optimization and Control · Mathematics 2016-11-07 Anton Selivanov , Emilia Fridman

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 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

In this paper, we propose two event-triggered control laws incorporating an eventtriggering mechanism to tackle the boundary stabilization for the Rayleigh beam system. Under this event-triggered controls, a sufficient condition for…

Optimization and Control · Mathematics 2026-05-19 Siwen Wang , Yi Cheng , Yuhu Wu , Yongxin Wu , Wen Kang

This paper considers a safe trajectory tracking of the Stefan problem with a second-order moving boundary dynamics. The model is given by a parabolic Partial Differential Equation (PDE) defined on a time-varying domain of moving boundary…

Optimization and Control · Mathematics 2026-05-26 Shumon Koga , Miroslav Krstic

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

In this paper, we address the exponential stabilization of the linearized FitzHugh-Nagumo system using an event-triggered boundary control strategy. Employing the backstepping method, we derive a feedback control law that updates based on…

Optimization and Control · Mathematics 2024-10-30 Víctor Hernández-Santamaría , Subrata Majumdar , Luz de Teresa

We study the platoon control of vehicles with third-order nonlinear dynamics under the constant spacing policy. We consider a vehicle model with parameter uncertainties and external disturbances and propose a distributed control law based…

Systems and Control · Electrical Eng. & Systems 2022-09-19 Anquan Liu , Tao Li , Yu Gu

In this article, we develop a new adaptive event-triggered asymptotic control scheme for strict-feedback systems with fast time-varying parameters. To deal with time-varying parameters with unknown variation boundaries in the feedback path…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Yan Tan , Liucang Wu , Wenqi Liu

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

This paper presents an observer-based event-triggered boundary control strategy for a class of reaction-diffusion PDEs with Robin actuation. The observer only requires boundary measurements. The control approach consists of a backstepping…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Bhathiya Rathnayake , Mamadou Diagne , Nicolas Espitia , Iasson Karafyllis

For stabilizing stop-and-go oscillations in traffic flow by actuating a variable speed limit (VSL) at a downstream boundary of a freeway segment, we introduce event-triggered PDE backstepping designs employing the recent concept of…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Peihan Zhang , Bhathiya Rathnayake , Mamadou Diagne , Miroslav Krstic

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 note studies stability of event-triggered control systems with the event-triggered control algorithm proposed in [1]. We construct a novel Halanay-type inequality, which is used to show that sufficient conditions of the main results in…

Optimization and Control · Mathematics 2023-10-02 Kexue Zhang , Bahman Gharesifard , Elena Braverman

Control problems of mixed-autonomy traffic systems that consist of both human-driven vehicles (HV) and autonomous vehicles (AV), have gained increasing attention. This paper focuses on suppressing traffic oscillations in the mixed-autonomy…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Yihuai Zhang , Huan Yu

This article proposes a periodic event-triggered adaptive barrier control policy for the trajectory tracking problem of perturbed Euler-Lagrangian systems with state, input, and temporal (SIT) constraints. In particular, an…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Chidre Shravista Kashyap , Karnan A , Pushpak Jagtap , Jishnu Keshavan

High-relative-degree control barrier functions (hi-rel-deg CBFs) play a prominent role in automotive safety and in robotics. In this paper we launch a generalization of this concept for PDE control, treating a specific, physically-relevant…

Optimization and Control · Mathematics 2021-11-03 Shumon Koga , Miroslav Krstic