Robust stabilization of exponentially unstable linear systems with saturating actuators

For an exponentially unstable linear system subject to actuator saturation, a family of linear feedback laws is constructed that achieves semi-global practical stabilization on the null controllable region in the presence of bounded disturbance. This is in the sense that, for any (arbitrarily large) compact subset /spl chi//sub 0/ of the null controllable region C, any (arbitrarily small) set /spl chi//sub 0/ containing the origin in its interior, and any (arbitrarily large) bound on the disturbance, there is a feedback law from the family such that any trajectory of the closed-loop system enters and remains in the set /spl chi//sub 0/, in a finite time as long as it starts from the set /spl chi//sub 0/.

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