TY - JOUR
T1 - Decentralized PDC for large-scale T-S fuzzy systems
AU - Wang, Wen June
AU - Lin, Wei Wei
N1 - Funding Information:
Manuscript received June 24, 2003; revised April 8, 2004. The work was supported by the National Science Council of Taiwan under Grant NSC 92-2213-E-008-002. W.-J. Wang is with the Department of Electrical Engineering, National Chi Nan University, Puli 54561, Taiwan, R.O.C. (e-mail: [email protected]). W.-W. Lin is with the Department of Electrical Engineering, National Central University, Jhong-Li 32001, Taiwan, R.O.C. (e-mail: [email protected]). Digital Object Identifier 10.1109/TFUZZ.2005.859309
PY - 2005/12
Y1 - 2005/12
N2 - This paper studies the decentralized stabilization problem for a large-scale system. The considered large-scale system comprises of a number of subsystems and each subsystem is represented by a Takagi-Sugeno (T-S) fuzzy model. The interconnection between any two subsystems may be nonlinear and satisfies some matching condition. By the concept of parallel distributed compensation (PDC), the decentralized fuzzy control for each subsystem is synthesized, in which the control gain depends on the strength of interconnections, maximal number of the fired rules in each subsystem, and the common positive matrix Pi. Based on Lyapunov criterion and Riccati-inequality, some sufficient conditions are derived and the common Pi is solved by linear matrix inequalities (LMI) so that the whole closed loop large-scale fuzzy system with the synthesized fuzzy control is asymptotically stable. Finally, a numerical example is given to illustrate the control synthesis and its effectiveness.
AB - This paper studies the decentralized stabilization problem for a large-scale system. The considered large-scale system comprises of a number of subsystems and each subsystem is represented by a Takagi-Sugeno (T-S) fuzzy model. The interconnection between any two subsystems may be nonlinear and satisfies some matching condition. By the concept of parallel distributed compensation (PDC), the decentralized fuzzy control for each subsystem is synthesized, in which the control gain depends on the strength of interconnections, maximal number of the fired rules in each subsystem, and the common positive matrix Pi. Based on Lyapunov criterion and Riccati-inequality, some sufficient conditions are derived and the common Pi is solved by linear matrix inequalities (LMI) so that the whole closed loop large-scale fuzzy system with the synthesized fuzzy control is asymptotically stable. Finally, a numerical example is given to illustrate the control synthesis and its effectiveness.
KW - Fuzzy control
KW - Large-scale system
KW - Lyapunov criterion
KW - Takagi-Sugeno (T-S) fuzzy model
UR - http://www.scopus.com/inward/record.url?scp=30344478244&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2005.859309
DO - 10.1109/TFUZZ.2005.859309
M3 - 期刊論文
AN - SCOPUS:30344478244
SN - 1063-6706
VL - 13
SP - 779
EP - 786
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 6
ER -