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 backstepping 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 …

Finite‐time boundary stabilization of reaction‐diffusion systems

KN Wu, HX Sun, P Shi, CC Lim - International Journal of …, 2018 - Wiley Online Library
In this paper, the problem of boundary finite‐time stabilization is considered for reaction‐
diffusion systems (RDSs). First, a full‐domain controller is designed, and sufficient …

ADRC dynamic stabilization of an unstable heat equation

YL Zhang, M Zhu, D Li, JM Wang - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this article, we consider the exponential compensation of an unstable heat equation
through a dynamic boundary active disturbance rejection control (ADRC) compensator …

Stabilization of one-dimensional wave equation with nonlinear boundary condition subject to boundary control matched disturbance

JJ Liu, JM Wang - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
In this paper, we consider the stabilization of a one-dimensional wave equation with
nonlinear van der Pol type boundary condition that covers the antistable boundary, and …

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 …

Robust adaptive control allocation for a class of cascade ODE-string systems with actuator failures

X Xing, J Liu - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
A robust adaptive control allocation algorithm with actuator failure compensation is
presented in this article for a class of cascade ODE-string systems depicted by ordinary …

Sliding mode control for N‐coupled reaction‐diffusion PDEs with boundary input disturbances

JJ Gu, JM Wang - … Journal of Robust and Nonlinear Control, 2019 - Wiley Online Library
This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion
parabolic PDEs with boundary input disturbances. In order to reject the disturbances, the …

Sliding Mode Control of the Orr--Sommerfeld Equation Cascaded by Both the Squire Equation and ODE in the Presence of Boundary Disturbances

JJ Gu, JM Wang - SIAM Journal on Control and Optimization, 2018 - SIAM
The sliding mode control (SMC) approach is proposed in this paper for the Orr--Sommerfeld
equation cascaded by both the Squire equation and ODE, in which Orr--Sommerfeld and …

Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition

W Bai, S Chen, Y Huang, BZ Guo… - International Journal of …, 2019 - Wiley Online Library
In this paper, observers and observability for uncertain nonlinear systems are systematically
discussed. It is shown that for the convergence of a large class of observers, featured with …