Robust Zonotopic Observer Design: Avoiding Unmeasured Premise Variables for Takagi-Sugeno Fuzzy Systems

This paper addresses the design of a robust set-based interval observer for nonlinear discrete-time system affected by uncertainty (state disturbance and measurement noise) using Takagi-Sugeno (TS) fuzzy model including an unmeasurable premise variable. The effect variable uncertainties is considered as unknown but bounded nature, i.e., in set-membership framework. A zonotopic representation set towards reducing operations to simple matrix calculations used bound state estimation provided observer-based approach. Furthermore, criterion-based approach H? performance technique are order compute gain achieve robustness. Finally, example employed both illustrate discuss effectiveness proposed