TY - JOUR
T1 - Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems
AU - Feng, Gang
AU - Ma, Jian
PY - 2001/11
Y1 - 2001/11
N2 - New approaches to quadratic stabilization of uncertain discrete-time fuzzy dynamic systems are developed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system is stabilizable if a suitable Riccati equation or a set of Riccati equations have solutions. Constructive algorithms are also developed to obtain the stabilization feedback control laws. Finally, an example is given to illustrate the application of the proposed method.
AB - New approaches to quadratic stabilization of uncertain discrete-time fuzzy dynamic systems are developed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system is stabilizable if a suitable Riccati equation or a set of Riccati equations have solutions. Constructive algorithms are also developed to obtain the stabilization feedback control laws. Finally, an example is given to illustrate the application of the proposed method.
KW - Discrete-time systems
KW - Fuzzy control
KW - Fuzzy uncertain systems
KW - Quadratic stabilization
UR - http://www.scopus.com/inward/record.url?scp=0035508086&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0035508086&origin=recordpage
U2 - 10.1109/81.964424
DO - 10.1109/81.964424
M3 - RGC 21 - Publication in refereed journal
SN - 1057-7122
VL - 48
SP - 1337
EP - 1343
JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
IS - 11
ER -