Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2003, Vol. 24 ›› Issue (2): 121-124.DOI: -

• OriginalPaper • Previous Articles     Next Articles

H2 optimal control for descriptor systems based on LMI

Yang, Dong-Mei (1); Zhang, Qing-Ling (1); Sha, Cheng-Man (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Sch. of Resource and Civil Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-02-15 Published:2013-06-23
  • Contact: Yang, D.-M.
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Abstract: The H2 optimal control for linear time-invariant continuous-time descriptor systems was studied. A state feedback controller was designed. The resulting closed-loop system is admissible and satisfies the H2 suboptimal performance, so that the H2 norm of the closed-loop system is smaller than a given positive number. A sufficient condition that the H2 norm is bounded was presented, and a H2 suboptimal controller was designed by the method of LMI(linear matrix inequality). A numerical example was given to illustrate the design approach.

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