Stabilization for Large-scale Fuzzy Systems by Decentralized Fuzzy Control

The purpose of this paper deals with the decentralized stabilization problem for a large-scale system in which the system is composed of several T-S fuzzy subsystems with nonlinear interconnections. The decentralized parallel distributed compensation (PDC) fuzzy control in each subsystem is designed to stabilize the whole system. Based on Lyapunov criteria, the stabilization theorem is proposed. Moreover, in the theorem, the positive definite matrices P
_i
and PDC gain K
_i

^l
can be obtained by linear matrix inequalities (LMI) toolbox of Matlab. Finally, we give a numerical example to illustrate the control design and effectiveness.