Output regulation for general heterodirectional linear hyperbolic PDEs coupled with nonlinear ODEs

A Irscheid, J Deutscher, N Gehring, J Rudolph - Automatica, 2023 - Elsevier
This paper considers general heterodirectional linear hyperbolic PDEs with boundary
actuation and collocated measurement, that are bidirectionally coupled with nonlinear ODEs …

A backstep** approach to output regulation for coupled linear wave–ODE systems

J Deutscher, J Gabriel - Automatica, 2021 - Elsevier
This paper is concerned with the output regulation problem for coupled wave–ODE systems
subject to spatially-varying coefficients. This problem is traced back to the regulator design …

Backstep**-based fuzzy adaptive stabilization of reaction-diffusion equation with state constraints

YX Li, X Li, S Tong - IEEE Transactions on Cybernetics, 2022 - ieeexplore.ieee.org
This article proposes a stabilization scheme for a cascaded parabolic partial differential
equation (PDE)-ordinary differential equation (ODE) system with state constraints. To begin …

Exponential regulation of the anti-collocatedly disturbed cage in a wave PDE-modeled ascending cable elevator

J Wang, SX Tang, Y Pi, M Krstic - Automatica, 2018 - Elsevier
In cable elevators, large axial vibrations appear when a cage subject to disturbance is lifted
up via a compliant cable. The axial vibration dynamics can be described by a wave partial …

Exponential input-to-state stabilization of an ODE cascaded with a reaction–diffusion equation subject to disturbances

HW Zhang, JM Wang, JJ Gu - Automatica, 2021 - Elsevier
This paper addresses the exponential input-to-state stabilization of an ODE cascaded with a
reaction–diffusion equation subject to disturbances appearing in all channels. By applying …

Compensating PDE actuator and sensor dynamics using Sylvester equation

V Natarajan - Automatica, 2021 - Elsevier
We consider the problem of stabilizing PDE–ODE cascade systems in which the input is
applied to the PDE system whose output drives the ODE system. We also consider the dual …

Boundary control of flexible satellite vibration in planar motion

HK Rad, H Salarieh, A Alasty, R Vatankhah - Journal of Sound and …, 2018 - Elsevier
In this paper, the planar maneuver of a flexible satellite with regard to its flexible
appendages vibration has been studied. The flexible satellite translates and rotates in a …

Boundary output feedback stabilization for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance

R Li, FF ** - Applied Mathematics and Computation, 2023 - Elsevier
In this paper, we are concerned with a boundary stabilization problem of a cascaded wave
PDE-ODE (partial differential equation-ordinary differential equation) system with velocity …

Output‐based disturbance rejection control for 1‐D anti‐stable Schrödinger equation with boundary input matched unknown disturbance

H Zhou - International Journal of Robust and Nonlinear Control, 2017 - Wiley Online Library
In this paper, we are concerned with the output feedback control design for a system (plant)
described by a boundary controlled anti‐stable one‐dimensional Schrödinger equation. Our …

Observer-based output feedback fuzzy control for nonlinear parabolic PDE-ODE coupled systems

HN Wu, XM Zhang, JW Wang, HY Zhu - Fuzzy Sets and Systems, 2021 - Elsevier
This paper employs observer-based feedback control technique to discuss the design
problem of output feedback fuzzy controllers for a class of nonlinear coupled systems of a …