L2 bumpless transfer control for switched linear systems with stability

Ying Zhao and Jun Zhao

International Journal of Systems Science, 2018, vol. 49, issue 12, 2644-2657

Abstract: This paper focuses on the issue of $ {L_2} $ L2 bumpless transfer control for a class of switched linear systems with stability. First, a concept of $ L_2 $ L2 bumpless transfer performance for a system in this class is introduced. Second, sufficient conditions for the $ L_2 $ 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 $ L_2 $ L2 bumpless transfer performance, stabilisation and disturbance rejection. Furthermore, a solution to the $ L_2 $ 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.

Date: 2018
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DOI: 10.1080/00207721.2018.1508786

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