TY - JOUR
T1 - Switching PDC control for discrete-time T-S fuzzy system
T2 - A membership function ranking approach
AU - Xiang, Weiming
AU - Xiao, Jian
AU - Han, Lu
N1 - Funding Information:
This work is supported by the National Natural Science Foundation of China ( 61134001 and 51177137 ).
PY - 2014/7
Y1 - 2014/7
N2 - In this paper, a new type of switched parallel distributed compensation (PDC) controller is presented, in which a novel switching scheme, namely, membership function ranking (MFR) scheme is proposed. The MFR scheme can be viewed as an improvement and extension of previous results named largest membership function (LMF) scheme concerned with piece-wise quadratic Lyapunov function (PQLF) approach, since it provides a denser subdivision of normalized membership function space and therefore essentially yields less conservative results. Moreover, it shows that MFR scheme covers LMF scheme as a particular case. Based on MFR scheme, a family of ,controllers and a switching scheme is designed to ensure the closed-loop system asymptotically stable and has a required ,performance. A design example is presented to illustrate the advantages of MFR scheme.
AB - In this paper, a new type of switched parallel distributed compensation (PDC) controller is presented, in which a novel switching scheme, namely, membership function ranking (MFR) scheme is proposed. The MFR scheme can be viewed as an improvement and extension of previous results named largest membership function (LMF) scheme concerned with piece-wise quadratic Lyapunov function (PQLF) approach, since it provides a denser subdivision of normalized membership function space and therefore essentially yields less conservative results. Moreover, it shows that MFR scheme covers LMF scheme as a particular case. Based on MFR scheme, a family of ,controllers and a switching scheme is designed to ensure the closed-loop system asymptotically stable and has a required ,performance. A design example is presented to illustrate the advantages of MFR scheme.
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U2 - 10.1016/j.jfranklin.2013.04.010
DO - 10.1016/j.jfranklin.2013.04.010
M3 - Article
AN - SCOPUS:84902247033
SN - 0016-0032
VL - 351
SP - 3536
EP - 3558
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 7
ER -