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We employ the recent performance-barrier event-triggered control (P-ETC) for achieving global exponential convergence of a class of reaction-diffusion PDEs via PDE backstepping control. Rather than insisting on a strictly monotonic decrease…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Bhathiya Rathnayake , Mamadou Diagne , Jorge Cortes , Miroslav Krstic

Performance-barrier event-triggered control (P-ETC) is a methodology implemented to increase the dwell-times between events while still preserving a prescribed performance of the system under event-triggered control (ETC). This is achieved…

Optimization and Control · Mathematics 2026-04-06 Eranda Somathilake , Mamadou Diagne

Modeling and congestion mitigation of mixed-autonomy traffic systems consisting of human-driven vehicles (HVs) and autonomous vehicles (AVs) have become increasingly critical with the rapid development of autonomous driving technology. This…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Yihuai Zhang , Huan Yu

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

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

In this paper, we expand recently introduced observer-based periodic event-triggered control (PETC) and self-triggered control (STC) schemes for reaction-diffusion PDEs to boundary control of $2\times2$ coupled hyperbolic PDEs in canonical…

Optimization and Control · Mathematics 2025-06-17 Eranda Somathilake , Bhathiya Rathnayake , Mamadou Diagne

We develop a control design for stabilization of traffic flow in congested regime, based on an Aw-Rascle-Zhang-type (ARZ-type) Partial Differential Equation (PDE) model, for traffic consisting of both ACC-equipped (Adaptive Cruise…

Optimization and Control · Mathematics 2018-12-20 Nikolaos Bekiaris-Liberis , Argiris I. Delis

This paper proposes a novel framework for resource-aware control design termed performance-barrier-based triggering. Given a feedback policy, along with a Lyapunov function certificate that guarantees its correctness, we examine the problem…

Optimization and Control · Mathematics 2023-09-27 Pio Ong , Jorge Cortes

This paper introduces a novel approach to PDE boundary control design using neural operators to alleviate stop-and-go instabilities in congested traffic flow. Our framework leverages neural operators to design control strategies for traffic…

Machine Learning · Computer Science 2023-12-19 Yihuai Zhang , Ruiguo Zhong , Huan Yu

Event-triggered control (ETC) is claimed to provide enormous reductions in sampling frequency when compared to periodic sampling, but little is formally known about its generated traffic. This work shows that ETC can exhibit very complex,…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Gabriel de Albuquerque Gleizer , Manuel Mazo

We develop reinforcement learning (RL) boundary controllers to mitigate stop-and-go traffic congestion on a freeway segment. The traffic dynamics of the freeway segment are governed by a macroscopic Aw-Rascle-Zhang (ARZ) model, consisting…

Optimization and Control · Mathematics 2021-01-18 Huan Yu , Saehong Park , Alexandre Bayen , Scott Moura , Miroslav Krstic

Periodic event-triggered control (PETC) is a version of event-triggered control (ETC) that only requires to measure the plant output periodically instead of continuously. In this work, we present a construction of timing models for these…

Systems and Control · Computer Science 2017-11-13 Anqi Fu , Manuel Mazo,

This paper considers the stabilization of nonlinear continuous-time dynamical systems employing periodic event-triggered control (PETC). Assuming knowledge of a stabilizing feedback law for the continuous-time system with a certain…

Systems and Control · Electrical Eng. & Systems 2019-09-02 Michael Hertneck , Steffen Linsenmayer , Frank Allgöwer

Event-Triggered Control (ETC) reduces communication overhead in networked systems by transmitting only when stability requires it. Conventional mechanisms use isotropic error thresholds ($\|e\| \le \sigma \|x\|$), treating all directions…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Abbas Tariverdi

This paper deals with event-triggered parameterized control (ETPC) of nonlinear systems with external disturbances. In this control method, between two successive events, each control input to the plant is a linear combination of a set of…

Optimization and Control · Mathematics 2024-07-03 Anusree Rajan , Pavankumar Tallapragada

In the context of networked control systems, event-triggered control (ETC) has emerged as a major topic due to its alleged resource usage reduction capabilities. However, this is mainly supported by numerical simulations, and very little is…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Gabriel de Albuquerque Gleizer , Manuel Mazo

This paper develops output feedback boundary control to mitigate traffic congestion of a unidirectional two-lane freeway segment. The macroscopic traffic dynamics are described by the Aw-Rascle-Zhang (ARZ) model respectively for both the…

Optimization and Control · Mathematics 2019-05-07 Huan Yu , Miroslav Krstic

We develop an input delay-compensating design for stabilization of an Aw-Rascle-Zhang (ARZ) traffic model in congested regime which is governed by a $2\times 2$ first-order hyperbolic nonlinear PDE. The traffic flow consists of both…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Jie Qi , Shurong Mo , Miroslav Krstic

This paper introduces an event-triggered source seeking control (ET-SSC) for autonomous vehicles modeled as the nonholonomic unicycle. The classical source seeking control is enhanced with static-triggering conditions to enable aperiodic…

Optimization and Control · Mathematics 2025-04-11 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic

In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapunov function (CLF) theory for ordinary differential equations…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Brian Block , Stephanie Stockar
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