Adaptive actuator failure compensation control of uncertain nonlinear PDE–ODE cascaded systems

YX Li, X Li, B Xu, S Tong - IEEE Transactions on Systems, Man …, 2023 - ieeexplore.ieee.org
In this article, the stabilization problem is addressed for a class of reaction–diffusion
equation described by a cascaded partial differential equation (PDE)–ordinary differential …

Adaptive stabilization for a reaction–diffusion equation with uncertain nonlinear actuator dynamics

J Li, Z Wu, C Wen - Automatica, 2021 - Elsevier
This paper is devoted to the stabilization of a reaction–diffusion equation with uncertain
nonlinear actuator dynamics described by a cascaded parabolic PDE–ODE system …

Semi-global stabilization of parabolic PDE–ODE systems with input saturation

X Xu, B Li - Automatica, 2025 - Elsevier
This paper addresses the semi-global stabilization problem of parabolic PDE–ODE systems
with input saturation. Two low-gain controllers are proposed for two types of systems. It is …

Backstepping-Forwarding Designs for Doubly-Distributed Delay-PDE-ODE Systems

X Xu, L Liu, M Krstic, G Feng - IEEE Transactions on Automatic …, 2024 - ieeexplore.ieee.org
A cascade connection comprising a delay, a PDE, and an ODE is referred to as “distributed”
if an integral operator of the functional state of the delay or the PDE enters, as a scalar, the …

Infinite‐dimensional extended state observer based stabilization for an ODE‐wave cascaded system with control matched disturbance

ZD Mei - Asian Journal of Control, 2023 - Wiley Online Library
This paper focuses on the output feedback exponential stabilization for an ODE‐wave
cascaded system with control matched disturbance at one end of the wave equation. We …

Dynamic stabilization for a cascaded beam PDE–ODE system with boundary disturbance

ZD Mei - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
We are concerned with the dynamic stabilization for a cascaded Euler–Bernoulli beam
(EBB) partial differential equation (PDE)–ordinary differential equation (ODE) system subject …

Output feedback stabilization for a class of cascade nonlinear ODE-PDE systems

Y Chang, T Sun, X Zhang, X Chen - International Journal of Control …, 2021 - Springer
In this paper, the output feedback stabilization problem is studied for a class of cascade
nonlinear ODE-PDE systems. The nonlinear terms of ODE-subsystem are assumed to be …

Finite‐time parameter estimation based boundary control for a class of 2× 2 hyperbolic partial differential equation systems with uncertain transport speeds

R Guo, K Sun, T Wang, J Qiu… - International Journal of …, 2022 - Wiley Online Library
This article investigates the boundary control problem for a class of 2× 2 2 * 2 hyperbolic
partial differential equation systems with uncertain transport speeds, in which both state …

Exponential stabilization for an Euler–Bernoulli beam PDE-ODE cascade system

ZD Mei, JG Peng - Systems & Control Letters, 2023 - Elsevier
We discuss the exponential stabilization for an Euler–Bernoulli beam (EBB) partial
differential equation (PDE)-ordinary differential equation (ODE) cascaded system with …

Observer-based stabilization of an unstable ODE-heat cascade system with multiple-point connection

L Pan, JM Wang - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In this paper, we consider the output feedback stabilization for a cascade of ODE-heat
system through multiple-point connection, where the point outputs of the heat are flowing …