A new approach to robust control of hybrid systems over infinite time
Savkin AV., Evans RJ.
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 existence 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.