TY - JOUR
T1 - Generalized H2 Controller Synthesis of Fuzzy Dynamic Systems Based on Piecewise Lyapunov Functions
AU - Feng, Gang
AU - Sun, Dong
PY - 2002/12
Y1 - 2002/12
N2 - This brief presents a generalized H2 controller synthesis method for the Takagi-Sugeno (T-S) fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct a controller for fuzzy dynamic systems in such a way that a piecewise-continuous Lyapunov function can be used to establish the global stability with generalized H2 performance of the resulting closed-loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of linear matrix inequalities. An example is given to illustrate the application of the proposed method.
AB - This brief presents a generalized H2 controller synthesis method for the Takagi-Sugeno (T-S) fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct a controller for fuzzy dynamic systems in such a way that a piecewise-continuous Lyapunov function can be used to establish the global stability with generalized H2 performance of the resulting closed-loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of linear matrix inequalities. An example is given to illustrate the application of the proposed method.
KW - Controller synthesis
KW - Fuzzy systems
KW - H2 control
KW - Linear matrix inequality (LMI)
KW - Piecewise Lyapunov functions
UR - http://www.scopus.com/inward/record.url?scp=0036961437&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0036961437&origin=recordpage
U2 - 10.1109/TCSI.2002.805718
DO - 10.1109/TCSI.2002.805718
M3 - RGC 21 - Publication in refereed journal
SN - 1057-7122
VL - 49
SP - 1843
EP - 1850
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 - 12
ER -