Controller and observer designs for discrete TS models using an efficient Lyapunov function

The present work deals with the design of control and observer for discrete Takagi-Sugeno fuzzy models. It is well-known that quadratic synthesis for discrete TS models and/or LPV systems can be outperformed easily via non quadratic syntheses. Most of these syntheses rely on Lyapunov functions found in. Nevertheless, this work shows that a better Lyapunov function can be used with a “small” change in the initial Lyapunov function. This one can introduce very important improvements in control and/or observer design.