Zonotopic Kalman Observer-based Sensor Fault Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems
Weijie Ren, Satoshi Komada, Kazuhiro Yubai, Daisuke Yashiro · 2022
This paper focuses on sensor fault estimation for discrete-time Takagi-Sugeno fuzzy systems with unknown process and measurement noises. First, the original T-S system is transformed into an augmented one to estimate the fault and system state simultaneously. A Zonotopic Kalman Observer is then designed by combing the structure of Kalman observer and zonotope theory. In addition, we propose a gain optimality method by minimizing the Frobenius norm of zonotopes. Finally, A truck-trailer example is given to highlight the effectiveness of the proposed sensor fault estimation method.