Non-PDC controller design for Takagi-Sugeno models via line-integral Lyapunov functions

This paper presents a new non Parallel Distributed Compensation (non-PDC) controllers design based on line-Integral Lyapunov functions for continuous-time Takagi-Sugeno (T-S) fuzzy models. The previous works are mainly based on a BMI formulation (LMI for first and second order systems only). In this paper, we show that using a property on dual system, it can be possible to formulate the design of a controller as an LMI problem for n-th order T-S systems. Two simulations are provided to show the effectiveness of the proposed approach : a numerical second order academic example and a fourth order benchmark of a single link robot with flexible joint.