Relaxed T-S Fuzzy Control Design by Descriptor System Approach

In this paper, the descriptor system based concept is applied to the stabilization for a discrete T-S fuzzy system. The control input vector and state vector are combined to the descriptor system form which leads to fewer Lyapunov inequalities (lower computation demand) than traditional T-S fuzzy stability criteria. Also, the non-parallel distributed compensation (non-PDC) and slack variables are adapted to relax the proposed stability conditions. Finally, the computation effectiveness the proposed stability criterion is demonstrated by a numerical example.