TY - JOUR
T1 - Robust generalised 2 and ∞ static output feedback control for uncertain discrete-time fuzzy systems
AU - Zhang, J.
AU - Xia, Y.
AU - Mahmoud, M. S.
PY - 2009
Y1 - 2009
N2 - This study is concerned with the generalised 2 and the ∞ static control problems for discrete-time fuzzy systems with time-varying norm-bounded parametric uncertainties. Based on the solutions to certain linear matrix inequalities LMIs, static output feedback controllers are designed, which can ensure the asymptotic stability and the generalised 2 and ∞ performance level, respectively. Differenting from the existing results, the design conditions in this study are derived in terms of LMIs directly, and the local output matrices are allowed to be different. Three illustrative examples are provided to demonstrate the effectiveness and the reduced conservatism of the proposed methods.
AB - This study is concerned with the generalised 2 and the ∞ static control problems for discrete-time fuzzy systems with time-varying norm-bounded parametric uncertainties. Based on the solutions to certain linear matrix inequalities LMIs, static output feedback controllers are designed, which can ensure the asymptotic stability and the generalised 2 and ∞ performance level, respectively. Differenting from the existing results, the design conditions in this study are derived in terms of LMIs directly, and the local output matrices are allowed to be different. Three illustrative examples are provided to demonstrate the effectiveness and the reduced conservatism of the proposed methods.
UR - http://www.scopus.com/inward/record.url?scp=67650293847&partnerID=8YFLogxK
U2 - 10.1049/iet-cta.2008.0146
DO - 10.1049/iet-cta.2008.0146
M3 - Article
AN - SCOPUS:67650293847
SN - 1751-8644
VL - 3
SP - 865
EP - 876
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
IS - 7
ER -