Nonlinear and robust control of PDE systems: Methods and applications to transport-reaction processes

PD Christofides, J Chow - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
The author attempts to portray the ideas and general principles of the theory of materials
within the framework of phenomenological continuum mechanics. It is a well-written rigorous …

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 …

A temperature dependent, single particle, lithium ion cell model including electrolyte diffusion

TR Tanim, CD Rahn, CY Wang - Journal of …, 2015 - asmedigitalcollection.asme.org
Low-order, explicit models of lithium ion cells are critical for real-time battery management
system (BMS) applications. This paper presents a seventh-order, electrolyte enhanced …

[ΒΙΒΛΙΟ][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 …

Turing–Hopf bifurcation in the reaction–diffusion equations and its applications

Y Song, T Zhang, Y Peng - … in Nonlinear Science and Numerical Simulation, 2016 - Elsevier
In this paper, we consider the Turing–Hopf bifurcation arising from the reaction–diffusion
equations. It is a degenerate case and where the characteristic equation has a pair of simple …

Development of local dynamic mode decomposition with control: Application to model predictive control of hydraulic fracturing

A Narasingam, JSI Kwon - Computers & Chemical Engineering, 2017 - Elsevier
Dynamic mode decomposition with control (DMDc) is a modal decomposition method that
extracts dynamically relevant spatial structures disambiguating between the underlying …

PDE boundary control for flexible articulated wings on a robotic aircraft

AA Paranjape, J Guan, SJ Chung… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper presents a boundary control formulation for distributed parameter systems
described by partial differential equations (PDEs) and whose output is given by a spatial …

Finite-dimensional approximation and control of non-linear parabolic PDE systems

J Baker, PD Christofides - International Journal of Control, 2000 - Taylor & Francis
This article proposes a rigorous and practical methodology for the derivation of accurate
finite-dimensional approximations and the synthesis of non-linear output feedback …

Analysis and control of parabolic PDE systems with input constraints

NH El-Farra, A Armaou, PD Christofides - Automatica, 2003 - Elsevier
This paper develops a general framework for the analysis and control of parabolic partial
differential equations (PDE) systems with input constraints. Initially, Galerkin's method is …

Stochastic models for chemically reacting systems using polynomial stochastic hybrid systems

JP Hespanha, A Singh - … of Robust and Nonlinear Control: IFAC …, 2005 - Wiley Online Library
A stochastic model for chemical reactions is presented, which represents the population of
various species involved in a chemical reaction as the continuous state of a polynomial …