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This paper studies robust tracking control for a leader-follower multi-agent system (MAS) subject to disturbances. A challenging problem is considered here, which differs from those in the literature in two aspects. First, we consider the…

Systems and Control · Computer Science 2019-05-14 Chuan Yan , Huazhen Fang

We introduce a monotonicity-based method for studying input-to-state stability (ISS) of nonlinear parabolic equations with boundary inputs. We first show that a monotone control system is ISS if and only if it is ISS w.r.t. constant inputs.…

Optimization and Control · Mathematics 2018-08-22 Andrii Mironchenko , Iasson Karafyllis , Miroslav Krstic

This paper addresses the robust stability of a boundary controlled system coupling two partial differential equations (PDEs), namely beam and string equations, in the presence of boundary and in-domain disturbances under the framework of…

Analysis of PDEs · Mathematics 2018-11-19 Jun Zheng , Hugo Lhachemi , Guchuan Zhu , David Saussi

In this paper, a leader-following coordination problem of heterogeneous multi-agent systems is considered under switching topologies where each agent is subject to some local (unbounded) disturbances. While these unknown disturbances may…

Optimization and Control · Mathematics 2016-01-14 Yutao Tang

We introduce a monotonicity-based method for studying input-to-state stability (ISS) of nonlinear parabolic equations with boundary inputs. We first show that a monotone control system is ISS if and only if it is ISS w.r.t. constant inputs.…

Optimization and Control · Mathematics 2017-06-23 Andrii Mironchenko , Iasson Karafyllis , Miroslav Krstic

This paper aims to achieve scalable exact output and regulated output synchronization for discrete-time multi-agent systems in presence of disturbances and measurement noise with known frequencies. Both homogeneous and heterogeneous…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Zhenwei Liu , Meirong Zhang , Ali Saberi , Anton A. Stoorvogel

Due to unbounded input operators in partial differential equations (PDEs) with boundary inputs, there has been a long-held intuition that input-to-state stability (ISS) properties and finite gains cannot be established with respect to…

Optimization and Control · Mathematics 2015-05-26 Iasson Karafyllis , Miroslav Krstic

In this article, the observer-based coordinated tracking control problem for a class of nonlinear multi-agent systems(MASs) with intermittent communication and information constraints is studied under dynamic switching topology. First, a…

Systems and Control · Electrical Eng. & Systems 2022-06-30 Yuhang Zhang , Yulian Jiang , Shenquan Wang

This work provides formal safety guarantees for control systems with disturbance. A disturbance observer-based robust safety-critical controller is proposed, that estimates the effect of the disturbance on safety and utilizes this estimate…

Systems and Control · Electrical Eng. & Systems 2023-01-05 Anil Alan , Tamas G. Molnar , Ersin Das , Aaron D. Ames , Gabor Orosz

This paper addresses the emulation-based observer design for networked control systems (NCS) with linear plants that operate at two time scales in the presence of measurement noise. The system is formulated as a hybrid singularly perturbed…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Weixuan Wang , Alejandro I. Maass , Dragan Nešić , Ying Tan , Romain Postoyan , W. P. M. H. Heemels

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

Systems and Control · Electrical Eng. & Systems 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

This paper studies distributed adaptive estimation over sensor networks with partially unknown source dynamics. We present parallel continuous-time and discrete-time designs in which each node runs a local adaptive observer and exchanges…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Moh Kamalul Wafi , Hamidreza Montazeri Hedesh , Milad Siami

In this paper, we investigate the robustness to external disturbances of switched discrete and continuous systems with multiple equilibria. It is shown that if each subsystem of the switched system is Input-to-State Stable (ISS), then under…

Systems and Control · Computer Science 2018-09-11 Sushant Veer , Ioannis Poulakakis

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

This paper introduces a novel recursive distributed estimation algorithm aimed at synthesizing input and state interval observers for nonlinear bounded-error discrete-time multi-agent systems. The considered systems have sensors and…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Mohammad Khajenejad , Scott Brown , Sonia Martinez

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions…

Chaotic Dynamics · Physics 2009-09-30 Jianping Cai , Zhengzhong Yuan

This paper focuses on the input-to-state stabilization problem for an ordinary differential equation (ODE) cascaded by parabolic partial differential equation (PDE) in the presence of Dirichlet-Robin boundary disturbances, as well as…

Optimization and Control · Mathematics 2026-02-11 Yongchun Bi , Jun Zheng , Guchuan Zhu

This paper addresses the problem of stabilization of $1$-D parabolic equations with destabilizing terms and Dirichlet boundary disturbances. By using the method of backstepping and the technique of splitting, a boundary feedback controller…

Optimization and Control · Mathematics 2024-07-23 Jun Zheng , Guchuan Zhu
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