TY - JOUR
T1 - Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions
AU - Zhou, S.
AU - Feng, G.
PY - 2006/1
Y1 - 2006/1
N2 - The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The 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. Using basis-dependent Lyapunov functions an H2 control design approach is developed. It is shown that the controller can be obtained by solving a set of linear matrix inequalities. It is also shown that the basis-dependent results are less conservative than the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach. © IEE, 2006.
AB - The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The 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. Using basis-dependent Lyapunov functions an H2 control design approach is developed. It is shown that the controller can be obtained by solving a set of linear matrix inequalities. It is also shown that the basis-dependent results are less conservative than the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are also given to demonstrate the applicability of the proposed approach. © IEE, 2006.
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34249079768&origin=recordpage
U2 - 10.1049/ip-cta:20045164
DO - 10.1049/ip-cta:20045164
M3 - RGC 21 - Publication in refereed journal
SN - 1350-2379
VL - 153
SP - 74
EP - 80
JO - IEE Proceedings: Control Theory and Applications
JF - IEE Proceedings: Control Theory and Applications
IS - 1
ER -