Stabilization for Switched Systems Based on Switching Event-Triggered Bumpless Transfer Strategy

Abstract

This article studies the stabilization problem and the bumpless transfer performance for switched systems. First, a novel switching event-triggered bumpless transfer strategy (SETBTS) with input bias and waiting time is proposed. Compared with existing event-triggered strategies, the proposed SETBTS has two advantages: 1) a waiting time to directly eliminate the Zeno phenomenon and 2) an input bias to overcome the influence of control bumps on the control performance. Then, based on the new SETBTS, the generalized bumpless transfer criteria are given to state the control amplitude level at the switching instants. Next, switching Lyapunov functional method is utilized to obtain sufficient criteria to ensure the globally uniformly exponential stability and the bumpless transfer performance for the considered systems. Moreover, the solvability conditions of the parameter matrices in SETBTS and the controller gains are established. Finally, the validity of the proposed methodology is verified by two examples.