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Improvement of Strict LMI Admissibility Criteria of Singular Systems: Continuous and Discrete

[+] Author Affiliations
XueFeng Zhang

Northeastern University, Shenyang, Liaoning, China

YangQuan Chen

University of California, Merced, CA

Paper No. DETC2015-46690, pp. V009T07A028; 4 pages
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5719-9
  • Copyright © 2015 by ASME


This brief note considers the solutions of LMIs in the criteria for admissibility for continuous singular systems and discrete singular systems. The new criteria are given which are strict LMI and do not involve equality constraint. The main trait of the criteria is that they simplify and improve the existing results. To judge the admissibility of singular systems, only the lest solved variable P is introduced without involving the additional matrix Q in the corresponding LMIs. With the brief and simple results of this paper, the numbers of solved matrices are reduced from a pair of matrices to just a matrix in which we can analyze singular systems with the completely consistent format as normal systems.

Copyright © 2015 by ASME



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