L2 bumpless transfer control for switched linear systems with almost output regulation

In this paper, the issue of L2 bumpless transfer control for switched linear systems with almost output regulation property is investigated. First, a description of the L2 bumpless transfer performance for a category of switched linear systems is given to measure the output bumpless transfer levels of the systems. Then, a compensator and a switching law are designed via a multiple Lyapunov functions strategy. Under the designed compensator and switching law, a sufficient condition guaranteeing the L2 bumpless transfer property and the almost output regulation property of the systems is presented. Furthermore, the sufficient condition allows each subsystem not to have both properties. At last, an example showing the effectiveness of the proposed control scheme is offered by controlling a turbofan model.