@inbook{38321,
  keywords = {design, feedback-control, parabolic pde systems, surface-activity},
  author = {S. Dubljevic and P. D. Christofides and I. G. Kevrekidis},
  title = {Distributed nonlinear control of diffusion-reaction processes},
  abstract = { <p>This work focuses on distributed control of diffusion reaction processes described by quasi-linear parabolic partial differential equations (PDEs) and addresses the problem of enforcing a prespecified spatio-temporal behavior in the closed-loop system using nonlinear feedback control and a large number of sensors and actuators. Under the assumption that the desired spatio-temporal behavior is described by a "target parabolic PDE", we use 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 an example of a diffusion-reaction process to demonstrate the formulation of the control problem and the effectiveness of our systematic approach to creating prespecified spatio-temporal behavior. Using this illustrative example, we demonstrate that both (a) large number of actuators/sensors, and (b) nonlinear control laws are necessary to achieve this goal.</p> },
  year = {2003},
  journal = {Proceedings of the 2003 American Control Conference, Vols 1-6},
  pages = {1341-1348},
  publisher = {Ieee},
  address = {New York},
  isbn = {0-7803-7896-2},
  language = {English},
}