@article{38856,
  keywords = {design, finite-dimensional control, flows, feedback-control, parabolic pde systems, surface-activity, distributed parameter systems, nonlinear control, diffusion-reaction processes, Galerkin{\textquoteright}s method, target parabolic PDE},
  author = {S. Dubljevic and P. D. Christofides and I. G. Kevrekidis},
  title = {Distributed nonlinear control of diffusion-reaction processes},
  abstract = { <p>In this work, we focus on distributed control of quasi-linear parabolic partial differential equations (PDEs) and address the problem of enforcing a prespecified spatio-temporal behaviour in the closed-loop system using nonlinear feedback control and a sufficiently large number of actuators and sensors. Under the assumption that the desired spatio-temporal behaviour is described by a {\textquoteright}target parabolic PDE{\textquoteright}, we use a combination of Galerkin{\textquoteright}s method and nonlinear control techniques to design nonlinear state and static output feedback controllers to address this problem. We use examples of diffusion-reaction processes to demonstrate the formulation of the control problem and the effectiveness of our systematic approach to creating prespecified spatio-temporal behaviour. Using these illustrative examples, we demonstrate that both (a) a sufficiently large number of actuators/sensors, and (b) nonlinear control laws are needed to achieve this goal. Copyright (C) 2004 John Wiley Sons, Ltd.</p> },
  year = {2004},
  journal = {International Journal of Robust and Nonlinear Control},
  volume = {14},
  pages = {133-156},
  month = {01/2004},
  isbn = {1049-8923},
  language = {English},
}