Coordinate transformations and stabilization of some switched control systems with application to hydrostatic electrohydraulic servoactuators

Abstract

The main result of the paper is a sufficient condition for existence
of controllers that stabilize the zero solution for some switched
nonlinear control systems in the critical case of a zero eigen value
in the spectrum of the Jacobian matrix calculated in zero. The
control synthesis is based on a condition on the relative degree in
the equilibrium point and subsequent coordinates transformations. An
application to a pump controlled electrohydraulic servoactuator is
given.