L2bumpless transfer control for switched linear systems with stability

This paper focuses on the issue of L2 bumpless transfer control for a class of switched linear systems with stability. First, a concept of L2 bumpless transfer performance for a system in this class is introduced. Second, sufficient conditions for the L2 bumpless transfer performance, stabilisation and disturbance rejection are presented by co-design of a switching law and a compensator. The sufficient conditions allow each closed-loop subsystem not to satisfy the L2 bumpless transfer performance, stabilisation and disturbance rejection. Furthermore, a solution to the L2 bumpless transfer control problem for the system with stability is also provided in terms of linear matrix inequalities (LMIs). Finally, an example is given to show the effectiveness of the proposed method.