Non-quadratic stabilisation of discrete Takagi Sugeno fuzzy models

Deals with discrete Takagi Sugeno fuzzy models. These models allow the representation of numerous nonlinear models, and powerful tools are available to derive control laws. Those ones are mainly based on a typical Lyapunov approach using well-known quadratic functions. The main difference in the proposed approach is the use of non-quadratic Lyapunov functions. It allows the definition of new stability conditions which are less conservative than in the quadratic case. Examples illustrate the efficiency of the proposed approaches.