JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (12): 87-94.doi: 10.6040/j.issn.1671-9352.0.2015.510

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Static output feedback robust H∞ control for continuous-time positive systems

XU Yan-chao   

  1. Yantai Vocational College, Yantai 264670, Shandong, China
  • Received:2015-10-30 Online:2016-12-20 Published:2016-12-20

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Abstract: A necessary and sufficient condition of static output feedback H∞ control for continuous-time positive systems was obtained via bounded real lemma and linear matrix inequality. Based on the above condition, a sufficient condition of static output feedback robust H∞ control for continuous-time positive systems was given. The conditions were established in terms of linear matrix inequalities and a matrix equality constraint. Furthermore, the desired H∞ controller gain matrix could be determined via cone complementarity linearization techniques. Final, a state controller asspecial case of static output feedback ones was given and a numerical example was provided to illustrate the validity of the results.

Key words: positive systems, static output feedback, cone complementarity linearization, linear matrix inequality, robust H∞ control

CLC Number: 

  • TP273
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