Control for Hybrid Bumpless Transfer Performance of Discrete-Time Switched Systems With Event-Triggering

This brief addresses the dynamic event-triggered ${l_{2}}$ - ${l_{\infty }}$ bumpless transfer control for discrete-time switched systems without stable subsystems. A unified framework of bumpless transfer performance for discrete-time switched systems called hybrid bumpless transfer performance is established to rule out sudden large hybrid bumps induced by both triggering and switching. By constructing the multiple Lyapunov functions, sufficient conditions for the considered switched systems to be asymptotically stable with both ${l_{2}}$ - ${l_{\infty }}$ performance and hybrid bumpless transfer performance are obtained. Then, the state-dependent switching law and the dynamic event-triggered hybrid bumpless transfer controllers are jointly designed. Finally, the PWM-driven boost converter system is provided to verify the validity and applicability of our method.