Sufficient Lie-algebraic-solvability-based conditions for stabilization of VSR-DTSSs with two unstable eigenvalues

ESTEBAN N. OSELLA; HERNAN HAIMOVICH

Conferencia; XIV Reunión de trabajo en procesamiento de la información y control; 2011

We address state-feedback sta- bilization of varying-sampling-rate (VSR) discrete-time switched systems (DTSSs), which are systems that describe a continuous- time linear time-invariant system sampled at varying rates. We consider a setting in which the controller, in addition to applying feed- back, selects and varies the sampling rate. In this paper we present sufficient conditions for a specific type of VSR-DTSS be stable under arbitrary sampling period switching. Such conditions are based on the solvability of the Lie-algebra generated by specific system ma- trices. The main advantage is that, as opposed to other existing stabilization techniques, these conditions are based on structural properties of the system.