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This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

最优化与控制 · 数学 2020-12-29 Hugo Lhachemi , Christophe Prieur

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

系统与控制 · 电气工程与系统科学 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

We study the output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary. With only one measurement, we construct an infinite-dimensional state observer to trace the state and design an estimated state based…

最优化与控制 · 数学 2021-05-04 Zhan-Dong Mei

In the first part of this article, we study feedback stabilization of a parabolic coupled system by using localized interior controls. The system is feedback stabilizable with exponential decay $-\omega<0$ for any $\omega>0$. A stabilizing…

偏微分方程分析 · 数学 2023-03-21 Wasim Akram , Debanjana Mitra , Neela Nataraj , Mythily Ramaswamy

In this paper, we develop a novel and simple adaptive control scheme for a one-dimensional unstable heat equation with unknown control coefficient. A new state observer is designed to estimate the system state, while a new update law is…

最优化与控制 · 数学 2024-12-30 Hongyinping Feng , Hai-Li Du

We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show that robust output tracking and disturbance rejection for our…

最优化与控制 · 数学 2021-04-19 Lassi Paunonen , Duy Phan

We consider a system of linear hyperbolic PDEs where the state at one of the boundary points is controlled using the measurements of another boundary point. Because of the disturbances in the measurement, the problem of designing dynamic…

系统与控制 · 计算机科学 2017-07-25 Aneel Tanwani , Christophe Prieur , Sophie Tarbouriech

This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear~control of nth-order strict-feedback form (SFF) systems.~By decomposing the SFF system to subsystems, a generic~term (namely…

最优化与控制 · 数学 2024-07-16 Janne Koivumäki , Jukka-Pekka Humaloja , Lassi Paunonen , Wen-Hong Zhu , Jouni Mattila

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…

最优化与控制 · 数学 2021-06-01 Hugo Lhachemi , Robert Shorten

A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous…

最优化与控制 · 数学 2016-11-15 Xiaodong Xu , Stevan Dubljevic

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this control problem for the case-study of a second-order system…

最优化与控制 · 数学 2023-09-21 Mohamed Maghenem , William Pasillas-Lépine , Antonio Loría , Missie Aguado-Rojas

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

适应与自组织系统 · 物理学 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

Stabilizing feedback operators are presented which depend only on the orthogonal projection of the state onto the finite-dimensional control space. A class of monotone feedback operators mapping the finite-dimensional control space into…

最优化与控制 · 数学 2025-03-10 Karl Kunisch , Sérgio S. Rodrigues , Daniel Walter

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

最优化与控制 · 数学 2017-06-08 Hua-Cheng Zhou , George Weiss

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring the…

动力系统 · 数学 2022-08-02 Ilias Panagiotopoulos , Jens Starke , Jan Sieber , Wolfram Just

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

系统与控制 · 电气工程与系统科学 2026-03-26 Gewei Zuo , Lijun Zhu

The stabilization of nonautonomous parabolic equations is achieved by feedback inputs tuning a finite number of actuators, where it is assumed that the input is subject to a time delay. To overcome destabilizing effects of the time delay,…

最优化与控制 · 数学 2025-11-21 Karl Kunisch , Sérgio S. Rodrigues

We present an analysis of a system of weakly coupled Hubbard chains based on combining an exact study of spectral functions of the uncoupled chain system with a renormalization group method for the coupled chains. For low values of the…

强关联电子 · 物理学 2009-11-10 J. M. P. Carmelo , F. Guinea , K. Penc , P. D. Sacramento

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

最优化与控制 · 数学 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is to achieve dissipativity with respect to a given quadratic supply rate or a given $H_2$…

最优化与控制 · 数学 2026-03-25 Pietro Kristović , Andrej Jokić , Mircea Lazar