Affine T-S Fuzzy-Model-Based Proportional-Integral Estimator Design Using Faded Transmission Data

This paper is concerned with the fuzzy proportional-integral state estimator design issues for affine fuzzy-model-based nonlinear systems under the effects of channel fadings. To reflect the unreliable transmission environment in the wireless network between sensors and the estimator, the channel fading phenomenon is considered. A fading model is adopted to characterize the signal transmission process, where the fading coefficients are considered independent and identically distributed. This paper concentrates on the design of the estimator gain, aiming to ensure that the estimation error dynamics achieve stochastic stability while satisfying the prescribed l2 − l∞ performance requirement. Sufficient conditions for verifying the estimation performance are established on the basis of Lyapunov stability theory and stochastic analysis. Furthermore, the estimator parameters are derived with the help of the convex optimization technique. The validity of the proposed fuzzy estimator is finally confirmed through a numerical example, which illustrates its satisfactory performance.