Improvements on Non-quadratic Stabilization of Takagi-Sugeno Models via Line-Integral Lyapunov Functions

This paper introduces two different generalizations on non-quadratic stabilization of Takagi-Sugeno models via line-integral Lyapunov functions. Inspired in recent developments which have proved to relax the conservativeness in the quadratic framework via suitable matrix transformations using a more general class of Lyapunov functions, the results here provided outperform the existing ones for line-integral Lyapunov functions with a linear matrix inequalities (LMI) form instead of bilinear matrix inequalities (BMI) in second order systems. Examples are provided to illustrate the advantages of the proposed technique over the existing approach.