Improved Robust Stability Condition of T-S Fuzzy Model and Its Application to Turntable Control

A new robust stabilization condition for the T-S(Takagi-Sugeno) fuzzy system with parametric uncertainties is proposed.The condition is represented in the form of linear matrix inequalities(LMIs),and is shown to be less conservative than some relaxed quadratic stabilization conditions published recently since it collects the interactions of fuzzy subsystems into a set of matrices,not just into a single matrix.Based on the derived LMI-based conditions,it is easy to get the state feedback robust stabilizing controller for the uncertain T-S fuzzy systems.Since only a set of LMIs are involved,the controller design is quite simple and numerically tractable.Finally,the validity of the proposed approach is successfully demonstrated in the control of a turntable system,which is a continuous-time nonlinear system with parametric uncertainties.