A method for switching controller design for discrete time hybrid sysems

We propose a systematic switching control design method applicable to a class of piecewise linear hybrid systems. We consider a class of systems controlled by a finite state actuator (i.e. switching controller). For the class of systems considered, precise conditions for stabilizability are unknown. However, by considering the same systems with unknown but bounded exogenous disturbances, we are able to give finitely computable conditions, sufficient for stabilizability without disturbances, yet necessary for stabilizability with disturbances.