Stabilization of linear systems by dynamic high-gain rotation

Authors:	Damm Tobias, TU Braunschweig, Germany Crauel Hans, TU Ilmenau, Germany Ilchmann Achim, TU Ilmenau, Germany
Topic:	1.2 Adaptive and Learning Systems
Session:	Adaptive Control of Linear Systems
Keywords:	stabilisation, Lyapunov function, robust stability, adaptive control

Abstract

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.