Stabilization of linear systems by dynamic high-gain rotation

Crauel, Hans GND; Damm, Tobias; Ilchmann, Achim GND

We discuss stabilisation of linear systems by dynamic high-gainrotation. The existence of stabilizing rotations is established forsystems with negative trace, and an adaptive method to choose thecontroller gain is presented. The stabilization is robust with respectto arbitrary (possibly time-varying) skew-symmetric perturbations,which is also illustrated by a numerical example.

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Crauel, H., Damm Dr., T., Ilchmann Prof. Dr., A., 2006. Stabilization of linear systems by dynamic high-gain rotation.
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