Takagi-Sugeno model-based state estimation for one class of nonlinear systems with unknown disturbances

The paper presents conditions suitable in design of state observers for a class of continuous-time nonlinear systems with unknown input, represented by Takagi-Sugeno models with unmeasurable premise variables. Based on Lyapunov inequality, the conditions are outlined in the terms of linear matrix inequalities to possess a stable structure closest to optimal asymptotic properties. Simulation results illustrate the design procedure and demonstrate the basic performances of the proposed observer design method.