Robust output feedback stabilizability via controller switching

Abstract

The paper considers the output feedback robust stabilizability problem for hybrid dynamical systems. The hybrid system under consideration is a composite of a continuous plant and a discrete event controller. A necessary and sufficient condition of absolute stabilizability is given in terms of the existence of suitable solutions to a dynamic programming equation and a Riccati algebraic equation of the H/sup /spl infin// filtering type. A real time implementable method for absolute stabilization is also presented.