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A constructive tool of nonlinear control systems design, the method of Control Lyapunov Functions (CLF) has found numerous applications in stabilization problems for continuous time, discrete-time and hybrid systems. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2020-07-20 Anton V. Proskurnikov , Manuel Mazo

Many controllers for legged robotic systems leverage open- or closed-loop control at discrete hybrid events to enhance stability. These controllers appear in several well studied phenomena such as the Raibert stepping controller, paddle…

Robotics · Computer Science 2022-07-05 James Zhu , Nathan J. Kong , George Council , Aaron M. Johnson

This paper presents a safe delay-adaptive control for a strict-feedback nonlinear ODE with a delayed actuator, whose dynamic is also a strict-feedback nonlinear ODE and the delay length is unknown. By formulating the delay as a transport…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhenxu Zhao , Ji Wang

This paper discusses cooperative stabilization control of rigid formations via an event-based approach. We first design a centralized event-based formation control system, in which a central event controller determines the next triggering…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Zhiyong Sun , Qingchen Liu , Na Huang , Changbin Yu , Brian D. O. Anderson

We propose novel event-triggered synergistic controllers for nonlinear continuous-time plants by incorporating event-triggered control into stabilizing synergistic controllers. We highlight that a naive application of common…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

With the gradual advancement of a novel idea of the distributed control of the multiagent systems, an event-triggered control protocol has received significant research attention, especially in designing the controller for the nonlinear…

Multiagent Systems · Computer Science 2022-01-04 Gurmu Meseret Debele

This paper presents a delay-adaptive boundary control scheme for a $2\times 2$ coupled linear hyperbolic PDE-ODE cascade system with an unknown and arbitrarily long input delay. To construct a nominal delay-compensated control law, assuming…

Optimization and Control · Mathematics 2023-08-22 Ji Wang , Mamadou Diagne

This article studies the control ideas of the optimal backstepping technique, proposing an event-triggered optimal tracking control scheme for a class of strict-feedback nonlinear systems with non-affine and nonlinear faults. A simplified…

Optimization and Control · Mathematics 2024-06-13 Ling Wang , Xin Wang , Ziming Wang

We present a procedure to simultaneously design the output feedback law and the event-triggering condition to stabilize linear systems. The closed-loop system is shown to satisfy a global asymptotic stability property and the existence of a…

Systems and Control · Computer Science 2014-08-27 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz , Dragan Nešić

This paper proposes a backstepping boundary control design for robust stabilization of linear first-order coupled hyperbolic partial differential equations (PDEs) with Markov-jumping parameters. The PDE system consists of 4 X 4 coupled…

Optimization and Control · Mathematics 2023-12-29 Yihuai Zhang , Jean Auriol , Huan Yu

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

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

In this study, we present a novel sliding mode safety-critical controller designed to address both stability and safety concerns in a class of nonlinear uncertain systems. The controller features two feedback loops: an inner loop designed…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Yazdan Batmani , Mohammadreza Davoodi

In this paper an artificial delay based impedance controller is proposed for robotic manipulators with uncertainty in dynamics. The control law unites the time delayed estimation (TDE) framework with a second order switching controller of…

Robotics · Computer Science 2022-08-23 Udayan Banerjee , Bhabani Shankar Dey , Indra Narayan Kar , Subir Kumar Saha

This paper studies the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs in the presence of a state delay in the reaction term. The control input applies through a Robin boundary condition while the system output…

Optimization and Control · Mathematics 2021-06-01 Hugo Lhachemi , Robert Shorten

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

This paper addresses the problem of collaborative formation control for multi-agent systems with limited resources. We consider a team of robots tasked with achieving a desired formation from an arbitrary initial configuration. To reduce…

Robotics · Computer Science 2026-04-07 Evangelos Psomiadis , Panagiotis Tsiotras

This study proposes a delay-compensated feedback controller based on proximal policy optimization (PPO) reinforcement learning to stabilize traffic flow in the congested regime by manipulating the time-gap of adaptive cruise…

Artificial Intelligence · Computer Science 2023-01-18 Shurong Mo , Nailong Wu , Jie Qi , Anqi Pan , Zhiguang Feng , Huaicheng Yan , Yueying Wang

This paper develops boundary feedback controls to stabilize traffic congestion toward a predefined shock equilibrium in the Aw-Rascle-Zhang (ARZ) traffic flow model. We transform the corresponding moving-boundary $2\times2$ hyperbolic…

Optimization and Control · Mathematics 2026-04-03 Mina Cao , Mamadou Diagne , Peipei Shang , Lei Yu

This paper proposes a procedure to control an uncertain discrete-time networked control system through a limited stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric…

Optimization and Control · Mathematics 2015-12-23 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul