Zonotopic state estimation and fault detection for systems with time-invariant uncertainties

This paper proposes a robust guaranteed state estimation method with application to fault detection by combining H∞ observer design with zonotopic analysis for discrete-time systems with both time-variant and time-invariant uncertainties. In order to improve the estimation accuracy, based on the H∞ technique, the observer design is achieved by solving a linear matrix inequality. The main contribution of this method lies in that the time invariance of some uncertainties is considered to reduce the conservatism of interval estimation. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.
This work was supported by National Natural Science Foundation of China (Grant No. 61403104, 61773145), State Key Laboratory of Robotics (Grant No. 2014-O04), and the Fundamental Research Funds for the Central Universities (HIT.KLOF.2015.076).