Unknown Input Observer Designs for Polynomial Fuzzy Systems with Uncertainties
Year: 2026
Type: article
Abstract: This study developed a novel design framework for unknown input observers in uncertain polynomial fuzzy systems using the sum-of-squares algorithm. First, both the system and the input matrices depended on unmeasurable state variables that required estimation. Secondly, the observer structure in this study differed from existing formulations. The proposed observer eliminated uncertainty effects without requiring explicit bounds or auxiliary controllers. The incorporation of slack matrices facilitated the resolution of non-convex terms in the stability conditions, thereby reducing design conservatism. Finally, a simulation study was conducted, and the results confirmed the validity and theoretical value of the developed strategy.
Authors: Xiang Wang, Lizhen Li, Yutang Wu
Institution: Shanghai University of Electric Power
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
Award: G3670187429
OpenAlex ID: W7161623652
