Control Based on Saturated Time-Delay Systems Theory of Mach Number in Wind Tunnels

A proposal for the regulation of the Mach number in wind tunnels using
static state feedback for saturated systems with delays is presented here. As these
systems can be precisely represented by a time-delay model with saturating inputs,
a general solution for discrete delayed systems with saturating input is first derived.
This general solution is based on modeling the saturation using a Lyapunov functional,
using free weighting matrices and maximizing the set of admissible initial conditions.
The application of this solution to the control of the Mach number in a wind tunnel is
then presented, illustrating the design procedures.