A New Approach to Robust Control of Hybrid Systems: Infinite Time Interval Case

The paper presents a new approach to output feedback robust control synthesis problems for hybrid dynamical systems. The hybrid system under consideration is a composite of a continuous plant and a discrete event controller. An output feedback H ∞ control problem on an infinite time interval is considered. The main results are given in terms of the existense of suitable solutions to a dynamic programming equation and a Riccati algebraic equation of the H ∞ filtering type. These results show a connection between the theories of hybrid dynamical systems and robust and nonlinear control.