Bumpless transfer control of switched impulsive positive systems under asynchronous switching

This paper studies the asynchronous bumpless transfer control problem for a class of switched impulsive positive system. The main novelty is to propose a new asynchronous bumpless transfer definition that suppresses the control signal only at impulsive and controller switching instants instead of the entire time interval. Using multiple linear copositive Lyapunov function approach, the controller and switching signal are co-designed to ensure positivity and stability while achieving bumpless transfer performance under asynchronous switching. Moreover, the switching signal allows both average dwell time and the running time ratio of matched period and mismatched period between the subsystem and controller to be mode-dependent, which increases design flexibility. Finally, the effectiveness of the designed approach is verified through simulation.