Analysing robust D-admissibility for discrete singular systems subjected to parametric uncertainties in the difference matrix
Chih‐Peng Huang · IMA Journal of Mathematical Control and Information · 2011
This paper mainly investigates admissibility and D-admissibility for discrete singular systems with uncertainties existing in the difference matrix E and the system matrix simultaneously. An equivalent D-admissible condition for the nominal system is originally derived. By involving the uncertainties in both the difference and the system matrices, we devote to analyse the robust admissibility and the robust D-admissibility for the regarded uncertain system. Since the derived criteria are all expressed in terms of strict linear matrix inequalities (LMIs), we thus can handily verify them via current LMI solvers. Finally, illustrative examples are given to demonstrate the effectiveness and validity of the proposed approach.