Control algorithm for a class of systems described by TS fuzzy uncertain models

The paper treats a class of nonlinear uncertain models described by fuzzy models. First, the TS model associated with the uncertainty of system is analysed. A constructive Lyapunov-based proof of convergence of the control algorithm is carried out. An “ Unique Action Rule Control” system is proposed. Techniques based Yakubovich-Kalman-Popov lemma are used to prove the stability criterions. Frequency plots are proposed for control parameter design. Numerical simulations of a technical model are presented.