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H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas…

Optimization and Control · Mathematics 2021-06-09 Carolina Bergeling , Kirsten A. Morris , Anders Rantzer

We consider the optimal control problem of a general nonlinear spatio-temporal system described by Partial Differential Equations (PDEs). Theory and algorithms for control of spatio-temporal systems are of rising interest among the…

Optimization and Control · Mathematics 2021-04-12 Ethan N. Evans , Oswin So , Andrew P. Kendall , Guan-Horng Liu , Evangelos A. Theodorou

We develop a novel frequency-based H-infinity control method for a large class of infinite-dimensional Linear-Time-Invariant systems in transfer function form. Major benefits of our approach is that reduction or identification techniques…

Optimization and Control · Mathematics 2017-12-18 P. Apkarian , D. Noll

We analyze and design H-infinity controllers for general time-delay systems with time-delays in systems' state, inputs and outputs. We allow the designer to choose the order of the controller and to introduce constant time-delays in the…

Systems and Control · Electrical Eng. & Systems 2020-03-23 Suat Gumussoy , Wim Michiels

We present a computational study of a simple finite-dimensional feedback control algorithm for stabilizing solutions of infinite-dimensional dissipative evolution equations such as reaction-diffusion systems, the Navier-Stokes equations and…

Analysis of PDEs · Mathematics 2017-07-11 Evelyn Lunasin , Edriss S. Titi

We introduce here a simple finite-dimensional feedback control scheme for stabilizing solutions of infinite-dimensional dissipative evolution equations, such as reaction-diffusion systems, the Navier-Stokes equations and the…

Analysis of PDEs · Mathematics 2014-05-26 Abderrahim Azouani , Edriss S. Titi

Reliable inference of system degradation from sensor data is fundamental to condition monitoring and prognostics in mechanical and infrastructural systems. Since degradation is rarely directly observable and measurable, it must be inferred…

Machine Learning · Computer Science 2026-03-13 Mengjie Zhao , Olga Fink

This paper investigates the problem of consensus-based distributed control of linear time-invariant multi-channel systems subject to unknown inputs. A distributed observer-based control framework is proposed, within which observer nodes and…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Ganghui Cao , Xunyuan Yin

This paper considers the distributed H-infinity leader-following tracking problem for a class of discrete time multi-agent systems with a high-dimensional dynamic leader. It is assumed that output information about the leader is only…

Systems and Control · Computer Science 2013-09-03 Guanghui Wen , Valery Ugrinovskii

This paper investigates the output feedback boundary control of reaction-diffusion equations with either distributed or boundary measurement by means of a finite-dimensional observer. A constructive method dealing with the design of…

Optimization and Control · Mathematics 2021-08-25 Hugo Lhachemi , Christophe Prieur

We design fixed-order strong H-infinity controllers for general time-delay systems. The designer chooses the controller order and may introduce constant time-delays in the controller. We represent the closed-loop system of the plant and the…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Wim Michiels

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be…

Optimization and Control · Mathematics 2019-07-17 Tarek Ahmed-Ali , Iasson Karafyllis , Fouad Giri

This paper presents a backstepping solution for the output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially-varying coefficients. Thereby, the coupling in the PDE is in-domain and at the…

Optimization and Control · Mathematics 2017-11-03 Joachim Deutscher , Nicole Gehring , Richard Kern

This paper investigates the output feedback setpoint regulation control of a reaction-diffusion equation by means of boundary control. The considered reaction-diffusion plant may be open-loop unstable. The proposed control strategy consists…

Optimization and Control · Mathematics 2021-12-10 Hugo Lhachemi , Christophe Prieur

A popular approach to designing finite-dimensional boundary controllers for partial differential equations (PDEs) is to decompose the PDE into independent modes and focus on the dominant ones while neglecting highly damped residual modes.…

Dynamical Systems · Mathematics 2025-07-18 Anton Selivanov , Emilia Fridman

In this paper, we investigate the exact controllability properties of an advection-diffusion equation on a bounded domain, using time- and space-dependent velocity fields as the control parameters. This partial differential equation (PDE)…

Systems and Control · Computer Science 2018-08-01 Karthik Elamvazhuthi , Hendrik Kuiper , Matthias Kawski , Spring Berman

This paper addresses the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs with delayed boundary measurement. The output takes the form of a either Dirichlet or Neumann trace. The output delay can be arbitrarily…

Optimization and Control · Mathematics 2021-06-28 Hugo Lhachemi , Christophe Prieur

This paper considers the H\infty-optimal estimation problem for linear systems with multiple delays in states, output, and disturbances. First, we formulate the H\infty-optimal estimation problem in the Delay-Differential Equation (DDE)…

Optimization and Control · Mathematics 2020-04-10 Shuangshuang Wu , Sachin Shivakumar , Matthew M. Peet , Changchun Hua

This paper is concerned with the distributed control and stabilization problems for linear discrete-time large scale systems with imposed constraints. The main contributions of this paper are: Firstly, by using the maximum principle…

Optimization and Control · Mathematics 2018-01-03 Qingyuan Qi , Huanshui Zhang , Peijun Ju

This work concerns the exponential stabilization of underactuated linear homogeneous systems of m parabolic partial differential equations (PDEs) in cascade (reaction-diffusion systems), where only the first state is controlled either…

Optimization and Control · Mathematics 2023-10-19 Constantinos Kitsos , Emilia Fridman
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