Work

Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach

Year: 2026

Type: article

Abstract: ABSTRACT This research investigates the fault detection for discrete‐time switched positive systems under unknown‐but‐bounded disturbances through a zonotope‐based residual evaluation methodology. Compared with the existing findings, the proposed framework introduces a dynamic threshold, thereby achieving an improvement in detection sensitivity while preserving robustness against disturbances. First, we develop a criterion to guarantee the stability and performance for the augmented system. Building upon the analysis results, a co‐design procedure is formulated to simultaneously optimize positive fault detection observers and switching signals for the underlying system. Furthermore, we construct a residual zonotope that geometrically encapsulates the admissible state trajectories of the fault‐free augmented system. The efficacy of the presented zonotopic fault detection scheme is substantiated through illustrative examples.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.70405

Authors: Fugui Deng, Huili Ren, Xiangning Wang, Zhuoliang Shen, Haixia Han, Weizhong Chen

Institution: Xi'an Polytechnic University

Language: English

Topic: Fault Detection and Control Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shaanxi Province

Awards: G2113502637, G7176147759