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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

In this paper, we present output feedback boundary stabilization for a class of semilinear parabolic PDEs with a boundary measurement and an actuation located at the same place. The method uses backstepping transformations, where the state…

偏微分方程分析 · 数学 2016-12-13 Agus Hasan

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

最优化与控制 · 数学 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

This paper addresses the problem of input-to-state stabilization for a class of parabolic equations with time-varying coefficients, as well as Dirichlet and Robin boundary disturbances. By using time-invariant kernel functions, which can…

最优化与控制 · 数学 2024-06-18 Yongchun Bi , Jun Zheng , Guchuan Zhu

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

偏微分方程分析 · 数学 2019-05-30 Björn Augner

This paper deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of n coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are…

系统与控制 · 电气工程与系统科学 2020-08-28 Joachim Deutscher , Nicole Gehring

We solve the problem of output feedback stabilization of a class of nonlinear systems, which may have unstable zero dynamics. We allow for any globally stabilizing full state feedback control scheme to be used as long as it satisfies a…

系统与控制 · 计算机科学 2016-07-26 Almuatazbellah M. Boker , Hassan K. Khalil

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

最优化与控制 · 数学 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

We consider output-feedback stabilization problems for a class of two-component linear parabolic systems with boundary actuation and measurement. The state-feedback control laws are obtained using backstepping method and require measurement…

偏微分方程分析 · 数学 2016-12-13 Agus Hasan

The problem of unknown input observer design is considered for coupled PDE/ODE systems subject to incremental sector bounded nonlinearities and unknown boundary inputs. Assuming available measurements at the boundary of the distributed…

最优化与控制 · 数学 2022-12-01 Andrea Cristofaro , Francesco Ferrante

This paper is concerned with the local output feedback stabilization of a nonlinear Kuramoto-Sivashinsky equation. The control is located at the boundary of the domain while the measurement is selected as a Neumann trace. This choice of…

最优化与控制 · 数学 2021-12-15 Hugo Lhachemi

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

最优化与控制 · 数学 2007-05-23 Manfredi Maggiore , Kevin Passino

The goal of this work is to compute a boundary control of reaction-diffusion partial differential equation. The boundary control is subject to a constant delay, whereas the equation may be unstable without any control. For this system…

偏微分方程分析 · 数学 2017-09-11 Christophe Prieur , Emmanuel Trélat

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

We study the output feedback exponential stabilization of a one-dimensional unstable wave equation, where the boundary input, given by the Neumann trace at one end of the domain, is the sum of the control input and the total disturbance.…

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

Control and state estimation of nonlinear systems satisfying a Lipschitz continuity condition have been important topics in nonlinear system theory for over three decades, resulting in a substantial amount of literature. The main criticism…

系统与控制 · 计算机科学 2013-02-26 Masoud Abbaszadeh , Horacio J. Marquez

The feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain is addressed. The controls take values in a finite-dimensional space and are supported in a small region. Both internal and…

最优化与控制 · 数学 2018-07-20 Duy Phan , Sérgio S. Rodrigues

In this paper, we prove the output feedback stabilization for the linearized Korteweg-de Vries (KdV) equation posed on a finite domain in the case the full state of the system cannot be measured. We assume that there is a sensor at the left…

最优化与控制 · 数学 2019-07-18 Ahmet Batal , Türker Özsarı

A magnetizable piezoelectric beam model, free at both ends, is considered. Piezoelectric materials have a strong interaction of electromagnetic and acoustic waves, whose wave propagation speeds differ substantially. The corresponding…

偏微分方程分析 · 数学 2024-03-14 Ahmet Ozkan Ozer , Uthman Rasaq , Ibrahim Khalilullah

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semi-conductor production. By spectral analysis, we…

最优化与控制 · 数学 2015-03-11 Jean-Michel Coron , Zhiqiang Wang