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New results on switched linear systems with actuator saturation

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  • Chang Duan
  • Fen Wu

Abstract

This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimise the disturbance attenuation level defined by the regional L2${\cal L}_2$ gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities, and can be solved by numerical search coupled with linear matrix inequality optimisation. Compared to the previous method based on polytopic differential inclusion, the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify the effectiveness of the proposed approach.

Suggested Citation

  • Chang Duan & Fen Wu, 2016. "New results on switched linear systems with actuator saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1008-1020, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1008-1020
    DOI: 10.1080/00207721.2014.911386
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    1. Jinyong Yu & Fangzhou Liu & Xiaoxi Yu & Chunfeng Wu & Ligang Wu, 2013. "Fault detection of discrete-time switched systems with distributed delays: input–output approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2255-2272.
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