Quadratic Stability and Stabilisation of Interval Takagi-Sugeno Model : LMI Approach

This paper deals with the stability analysis of interval Takagi-Sugeno. Based on a quadratic Lyapunov function, new asymptotic stability conditions for continuous case are presented without any assumption on the norm of matrices uncertainties. This result is obtained directly according to the bounds (minimal and maximum) of the intervals of each element of matrices representing the system. These stability conditions, extended to the design of controller, are formulated in terms of linear matrix inequalities (LMI). Example is given to illustrate the proposed method