Modeling of distributed parameter systems for applications—A synthesized review from time–space separation

HX Li, C Qi - Journal of Process Control, 2010 - Elsevier
Many industrial processes belong to distributed parameter systems (DPS) that have strong
spatial–temporal dynamics. Modeling of DPS is difficult but essential to simulation, control …

[CARTE][B] Control of nonlinear and hybrid process systems: Designs for uncertainty, constraints and time-delays

PD Christofides, N El-Farra - 2005 - books.google.com
This monograph provides insight and fundamental understanding into the feedback control
of nonlinear and hybrid process systems. It presents state-of-the-art methods for the …

Tangent barrier Lyapunov function based adaptive event-triggered control for uncertain flexible beam systems

YJ Liu, F Xu, L Tang - Automatica, 2023 - Elsevier
The adaptive event-triggered control problem is studied for the flexible beam system
modeled by partial differential equations (PDEs) with uncertain system parameters and state …

Feedback control of nonlinear dissipative systems by finite determining parameters-a reaction-diffusion paradigm

A Azouani, ES Titi - arxiv preprint arxiv:1301.6992, 2013 - arxiv.org
We introduce here a simple finite-dimensional feedback control scheme for stabilizing
solutions of infinite-dimensional dissipative evolution equations, such as reaction-diffusion …

Fuzzy intermittent extended dissipative control for delayed distributed parameter systems with stochastic disturbance: a spatial point sampling approach

K Ding, Q Zhu - IEEE Transactions on Fuzzy Systems, 2021 - ieeexplore.ieee.org
In this article, the extended dissipative performance of distributed parameter systems (DPSs)
with stochastic disturbances and multiple time-varying delays is studied by using a new …

Finite determining parameters feedback control for distributed nonlinear dissipative systems-a computational study

E Lunasin, ES Titi - arxiv preprint arxiv:1506.03709, 2015 - arxiv.org
We present a computational study of a simple finite-dimensional feedback control algorithm
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …

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 …

Predictive control of parabolic PDEs with boundary control actuation

S Dubljevic, PD Christofides - Chemical Engineering Science, 2006 - Elsevier
This work focuses on predictive control of linear parabolic partial differential equations
(PDEs) with boundary control actuation subject to input and state constraints. Under the …

Boundary control of delayed ODE–heat cascade under actuator saturation

W Kang, E Fridman - Automatica, 2017 - Elsevier
In this paper, we consider boundary stabilization for a cascade of ODE–heat system with a
time-varying state delay under actuator saturation. To stabilize the system, we design a state …

Adaptive boundary control of a flexible manipulator with input saturation

Z Liu, J Liu, W He - International Journal of Control, 2016 - Taylor & Francis
In this study, we consider the anti-windup design as one of the approaches for the boundary
control problem of a flexible manipulator in the presence of system parametric uncertainties …