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This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

系统与控制 · 电气工程与系统科学 2021-01-07 Lei Wang , Christopher M. Kellett

This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and…

最优化与控制 · 数学 2020-03-13 Hugo Lhachemi , Robert Shorten , Christophe Prieur

This paper investigates the disturbance decoupling problem by dynamic output feedback in the general case of systems with possible input-output feedthrough matrices. In particular, we aim to extend the geometric condition based on…

最优化与控制 · 数学 2019-10-18 Fabrizio Padula , Lorenzo Ntogramatzidis

Varying one of the governing parameters of a dynamical system may lead to a critical transition, where the new stable state is undesirable. In some cases, there is only a limited range of the bifurcation parameter that corresponds to that…

流体动力学 · 物理学 2018-11-27 Giacomo Bonciolini , Nicolas Noiray

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

系统与控制 · 电气工程与系统科学 2021-03-02 Lei Wang , Christopher M. Kellett

We investigate the steady-state solution and its bifurcations in time-delay systems with band-limited feedback. This is a first step in a rigorous study concerning the effects of AC-coupled components in nonlinear devices with time-delayed…

混沌动力学 · 物理学 2009-11-11 Lucas Illing , Daniel J. Gauthier

In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal…

最优化与控制 · 数学 2016-08-16 Christophe Prieur , Emmanuel Trélat

This paper presents an adaptive harmonic steady-state (AHSS) controller, which addresses the problem of rejecting sinusoids with known frequencies that act on a completely unknown multi-input multi-output linear time-invariant system. We…

系统与控制 · 计算机科学 2017-05-12 Mohammadreza Kamaldar , Jesse B. Hoagg

We consider the problem of output feedback stabilization in linear systems when the measured outputs and control inputs are subject to event-triggered sampling and dynamic quantization. A new sampling algorithm is proposed for outputs which…

动力系统 · 数学 2016-09-26 Aneel Tanwani , Christophe Prieur , Mirko Fiacchini

In this paper, we study the control of the linear heat equation with a space and time dependent coefficient function by the Dirichlet and Neumann boundary control laws. This equation models the heat diffusion and space, time dependent heat…

最优化与控制 · 数学 2007-05-23 Junji Jia

In this work, an advanced motion controller is proposed for buck converter-fed DC motor systems. The design is based on an idea of active disturbance rejection control (ADRC) with its key component being a custom observer capable of…

系统与控制 · 电气工程与系统科学 2020-12-08 Rafal Madonski , Krzysztof Łakomy , Momir Stankovic , Sally Shao , Jun Yang , Shihua Li

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

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

系统与控制 · 计算机科学 2019-04-02 Dimitar Ho , John C. Doyle

New methods are developed for the stabilization of a linear system with general time-varying distributed delays existing at the system's states, inputs and outputs. In contrast to most existing literature where the function of time-varying…

系统与控制 · 电气工程与系统科学 2024-12-20 Qian Feng , Sing Kiong Nguang , Wilfrid Perruquetti

The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory. The…

经典分析与常微分方程 · 数学 2008-12-31 Fatihcan M. Atay

This paper considers the optimization landscape of linear dynamic output feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider the feasible set of all the stabilizing full-order dynamical controllers that satisfy an…

最优化与控制 · 数学 2023-07-07 Bin Hu , Yang Zheng

Asymptotic disturbance rejection (equivalently tracking) for nonlinear systems has been studied only in qualitative terms (the state is asymptotically stable under bounded disturbances). We show how to prove quantitative performance…

系统与控制 · 电气工程与系统科学 2025-04-03 Simon Kuang , Xinfan Lin

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

无序系统与神经网络 · 物理学 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

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…

最优化与控制 · 数学 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

We present a formulation of measurement-based feedback control of a single quantum particle in one spatial dimension. An arbitrary linear combination of the position and momentum of the particle is continuously monitored, and feedback…

量子物理 · 物理学 2022-12-26 Amy Rouillard , Anirudh Reddy , Humairah Bassa , Shamik Maharaj , Lajos Diosi , Thomas Konrad