Bumpless Transfer Control of Switched Time-Delay Linear Systems with State-dependent Switching

This paper deals with the bumpless transfer control for switched time-delay systems. The time-delay bumpless transfer performance for switched linear system is provided, which can suppress control bumps caused by the current state and the time-delay state at the switching instants. Then, by utilizing the multiple Lyapunov functions, under the co-design of the state-dependent switching law and the time-delay controller, a sufficient condition guaranteeing bumpless transfer control of switched time-delay systems is presented. The effectiveness of the result is validated by an example. The result shows that our method reduces the bumpy amplitude while ensuring the stability of the switched time-delay system.