Stabilisation for switched positive systems under extended asynchronous switching
This study first addresses an extended asynchronous switching control issue resulting from switching delay and false alarm for a family of switched positive systems. Based on a new set of switching signals superior to the average dwell time switching, the state feedback controller is designed to guarantee the positivity and global asymptotic stability for the closed loop system. In addition, the corresponding sufficient condition formulated in terms of linear programming problem is derived. Different from the previous works, the authors' established results further relax the restriction that all subsystems must be stabilisable in the normal running period with matched controller, and allow the increase of the Lyapunov function in the switching delay period, false alarm period, normal running period with matched controller and all switching instants. Finally, a numerical example with practical considerations is used to show the effectiveness and potential of the proposed theories.
IET Control Theory Applications