Output-feedback stabilization of an underactuated network of interconnected hyperbolic PDE systems

J Auriol - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
In this article, we detail the design of an output feedback stabilizing control law for an
underactuated network of subsystems of heterodirectional linear first-order hyperbolic Partial …

Adaptive constrained tracking control for dynamical actuator driven linear 2× 2 hyperbolic PDE systems with nonlinear uncertainties

Y Xiao, Y Yuan, X Xu, S Dubljevic - Systems & Control Letters, 2024 - Elsevier
The paper develops an adaptive constrained tracking control technique for a class of 2× 2
hyperbolic partial differential equation (PDE) systems with boundary actuator dynamics …

Imperative Formal Knowledge Representation for Control Engineering: Examples from Lyapunov Theory

C Knoll, J Fiedler, S Ecklebe - Machines, 2024 - mdpi.com
In this paper, we introduce a novel method to formally represent elements of control
engineering knowledge in a suitable data structure. To this end, we first briefly review …

Frequency domain approach for the stability analysis of a fast hyperbolic PDE coupled with a slow ODE

G Arias, S Marx, G Mazanti - 2023 62nd IEEE Conference on …, 2023 - ieeexplore.ieee.org
This paper deals with the exponential stability of systems made of a hyperbolic PDE coupled
with an ODE with different time scales, the dynamics of the PDE being much faster than that …

Backstepping for Partial Differential Equations

R Vazquez, J Auriol, F Bribiesca-Argomedo… - arXiv preprint arXiv …, 2024 - arxiv.org
Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as
systems that are by nature finite-dimensional and modeled by ordinary differential equations …

Stabilization and Optimal Control of Interconnected SDE-Scalar PDE System

G Velho, J Auriol, R Bonalli… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
In this paper, we design a controller for an interconnected system consisting of a linear
Stochastic Differential Equation (SDE) actuated through a linear hyperbolic Partial …

Stabilizing Nonlinear ODEs With Diffusive Actuator Dynamics

A Irscheid, N Gehring, J Deutscher… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
This paper presents a design of stabilizing controllers for a cascaded system consisting of a
boundary actuated parabolic PDE and nonlinear dynamics at the unactuated boundary …

一类具有复杂执行器动态的双曲线型偏微分方程输出调节

肖宇, 徐晓东, 阳春华 - 自动化学报, 2024 - aas.net.cn
本文研究了一类具有边界执行器动态特性的双曲线型偏微分方程(Partial differential equation,
PDE) 系统的输出调节问题. 特别地, 执行器由一组非线性常微分方程(Ordinary differential …

Local exponential stabilization of a coupled ODE-Fisher's PDE system

H Ayadi, N Mahfoudhi - European Journal of Control, 2023 - Elsevier
In this paper, we investigate the problem of exponential stabilization of a coupled control
system consisting of a linear ordinary differential equation (ODE) and a nonlinear partial …

Control of distributed-parameter systems using normal forms: an introduction

N Gehring, A Irscheid, J Deutscher… - at …, 2023 - degruyter.com
This paper gives an overview of the control of distributed-parameter systems using normal
forms. Considering linear controllable PDE-ODE systems of hyperbolic type, two methods …