GU Zequan, LIAO Fucheng, LIU Heping. Guaranteed cost control of uncertain descriptor systems: an LMI approach[J]. Chinese Journal of Engineering, 2006, 28(1): 93-95. DOI: 10.13374/j.issn1001-053x.2006.01.022
Citation: GU Zequan, LIAO Fucheng, LIU Heping. Guaranteed cost control of uncertain descriptor systems: an LMI approach[J]. Chinese Journal of Engineering, 2006, 28(1): 93-95. DOI: 10.13374/j.issn1001-053x.2006.01.022

Guaranteed cost control of uncertain descriptor systems: an LMI approach

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  • Received Date: November 15, 2004
  • Revised Date: January 16, 2005
  • Available Online: August 23, 2021
  • The problem of guaranteed cost control was dealt with for a class of uncertain descriptor systems, whose class is with parameter uncertainties and norm-bounded. The purpose of the problem was to design a state feedback controller such that, for all admissible uncertainties, the closed-loop descriptor systems keep regular, impulse-free and stable. At the same time an adequate level of a quadratic cost index can be guaranteed. A sufficient condition for the existence of guaranteed cost controllers was derived. It was shown that a group of linear matrix inequalities provided a parameterized representation of guaranteed const controllers.
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