Adaptive Stabilization for ODE–PDE–ODE Cascade Systems With Parameter Uncertainty
In this article, we study the adaptive stability for parabolic partial differential equation (PDE)-
ordinary differential equation (ODE) cascade systems with actuator dynamics, where the …
ordinary differential equation (ODE) cascade systems with actuator dynamics, where the …
Event-Triggered Adaptive Control of a Parabolic PDE–ODE Cascade With Piecewise-Constant Inputs and Identification
We present an adaptive event-triggered boundary control scheme for a parabolic partial
differential equation–ordinary differential equation (PDE–ODE) system, where the reaction …
differential equation–ordinary differential equation (PDE–ODE) system, where the reaction …
Nussbaum-Based Adaptive Neural Networks Tracking Control for Nonlinear PDE-ODE Systems Subject to Deception Attacks
L Wan, H Zhang, J Sun, Z Liu… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this article, the novel adaptive neural networks (NNs) tracking control scheme is
presented for nonlinear partial differential equation (PDE)-ordinary differential equation …
presented for nonlinear partial differential equation (PDE)-ordinary differential equation …
Output-feedback adaptive boundary control of coupled equidiffusive parabolic PDE systems
R Guo, J Qiu, T Wang, K Sun - Automatica, 2024 - Elsevier
This paper investigates the output-feedback adaptive boundary control issue of the n-
dimensional coupled parabolic PDE system (PPDES) with the same diffusivity parameters …
dimensional coupled parabolic PDE system (PPDES) with the same diffusivity parameters …
Robust Output Tracking for an Uncertain and Nonlinear 3D PDE-ODE System: Preventing Induced Seismicity in Underground Reservoirs
D Gutiérrez-Oribio, I Stefanou - arXiv preprint arXiv:2412.06327, 2024 - arxiv.org
This paper presents a robust control strategy for output tracking of a nonlinear 3D PDE-ODE
system. The output feedback control was developed by bounding the solution and its time …
system. The output feedback control was developed by bounding the solution and its time …
Adaptive stabilization for an uncertain reaction–diffusion equation with dynamic boundary condition at control end
J Li, Z Wu, Y Liu - Systems & Control Letters, 2022 - Elsevier
This paper is devoted to the stabilization of a class of uncertain reaction–diffusion equations
with dynamic boundary condition. Remarkably, the dynamics of boundary condition at …
with dynamic boundary condition. Remarkably, the dynamics of boundary condition at …
Backstepping for Partial Differential Equations
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 …
systems that are by nature finite-dimensional and modeled by ordinary differential equations …
Feedback Control for Nonlinear ODE–PDE–ODE-Coupled Systems
C Ji, Z Zhang, SS Ge - IEEE Transactions on Systems, Man …, 2023 - ieeexplore.ieee.org
In this article, we are devoted to the global stabilization for ordinary differential equation
(ODE)-parabolic partial differential equation (PDE)-ODE-coupled systems subject to …
(ODE)-parabolic partial differential equation (PDE)-ODE-coupled systems subject to …
Backstepping Control of Coupled General Hyperbolic-Parabolic PDE-PDE Systems
J Deutscher, N Gehring, N Jung - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article considers the backstepping state feedback and observer design for hyperbolic
and parabolic PDEs, which are bidirectionally interconnected in a general coupling …
and parabolic PDEs, which are bidirectionally interconnected in a general coupling …
Sliding mode boundary control for heat equations with uncertain dynamic actuators
The present study focuses on designing a boundary controller for an uncertain heat
equation with a dynamic actuator, leading to a coupled PDE-ODE representation of the …
equation with a dynamic actuator, leading to a coupled PDE-ODE representation of the …