TY - JOUR
T1 - Output Feedback Admissible Control for Singular Systems: Delta Operator (Discretised) Approach
AU - Dong , Xin-Zhuang
AU - Xiao , Mingqing
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 248
EP - 268
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.250216.161016a
UR - https://global-sci.org/intro/article_detail/eajam/10748.html
KW - Singular delta operator system (SDOS), admissibility, output feedback, state observer, linear matrix inequalities (LMI).
AB - <p style="text-align: justify;">Singular systems simultaneously capture the dynamics and algebraic
constraints in many practical applications. Output feedback admissible control for
singular systems through a delta operator method is considered in this article. Two
novel admissibility conditions, derived for the singular delta operator system (SDOS)
from a singular continuous system through sampling, can not only produce unified
admissibility for both continuous and discrete singular systems but also practical
procedures. To solve the problem of output feedback admissible control for the
SDOS, an existence condition and design procedure is given for the determination
of a physically realisable observer for the state estimation, and then a suitable state-feedback-like
admissible controller design based on the observer is developed. All of
the conditions presented are necessary and sufficient, involving strict linear matrix
inequalities (LMI) with feasible solutions obtained with low computational costs.
Numerical examples illustrate our approach.</p>