Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi–Sugeno's form

This paper further studies stabilization of nonlinear systems represented by a Takagi–Sugeno (T–S) discrete fuzzy model. By extending a nonquadratic Lyapunov function and applying a nonparallel distributed compensation (non-PDC) law, a new stabilization conclusion is presented that is a generalization of some previous results in the literature. The new conclusion under a special situation is also suitable for a PDC law, which presents to be more relaxed than some existing results. An example is provided to demonstrate the effectiveness of the new conclusions.