Quasi-Steady Approximation and Adaptive Nonlinear Control
S. H. Lam
Accurate and realistic mathematical modeling is always essential
for conventional computer simulations such as CFD calculations of reacting
flow systems. However, if the goal is not merely to make passive ``what
if'' predictions but rather to use the available ``actuators'' in the system
to exert active control over the dynamical behaviors of certain measured
output variables, then the problem becomes a control problem. The present
paper shows that (for finite dimensional dynamical systems only) it it
possible to find ``control laws'' to accomplish the desired control objectives
without having detailed knowledge of the mathematical model---provided
reliable and accurate sensor measurements of the output variables are available.
Presented in 15th IMACS World Congress on Scientific Computation,
Modelling and Applied Mathematics, Berlin, August 1997.
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