An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model

Abstract

A new approach to build an interval observer for nonlinear uncertain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Sugeno (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates for each dynamic state estimation error is used to design an interval observer. The system state bounds are then directly deduced.

Keywords

• T-Smodel
• T-S proportional observer
• interval observer
• time-varying systems