The interest in control of nonlinear partial differential equation
(PDE) sys tems has been triggered by the need to achieve tight
distributed control of transport-reaction processes that exhibit
highly nonlinear behavior and strong spatial variations. Drawing
from recent advances in dynamics of PDE systems and nonlinear
control theory, control of nonlinear PDEs has evolved into a very
active research area of systems and control. This book the first of
its kind- presents general methods for the synthesis of nonlinear
and robust feedback controllers for broad classes of nonlinear PDE
sys tems and illustrates their applications to transport-reaction
processes of industrial interest. Specifically, our attention
focuses on quasi-linear hyperbolic and parabolic PDE systems for
which the manipulated inputs and measured and controlled outputs
are distributed in space and bounded. We use geometric and
Lyapunov-based control techniques to synthesize nonlinear and
robust controllers that use a finite number of measurement sensors
and control actuators to achieve stabilization of the closed-loop
system, output track ing, and attenuation of the effect of model
uncertainty. The controllers are successfully applied to numerous
convection-reaction and diffusion-reaction processes, including a
rapid thermal chemical vapor deposition reactor and a Czochralski
crystal growth process. The book includes comparisons of the
proposed nonlinear and robust control methods with other approaches
and discussions of practical implementation issues.
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