Hidden mode tracking control for a class of hybrid systems

In this paper, we consider the tracking control problem for a class of hidden mode hybrid systems in which the mode is not available for control. The time-varying reference trajectories are given by functions that may exhibit jumps. We tackle this problem by designing a sliding mode adaptive controller for the hybrid system to track well-posed time-varying reference trajectories that may exhibit jumps, using well-established tools for stabilization of hybrid systems. The approach is illustrated with examples.