Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach.
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| Title: | Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach. |
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| Authors: | Deng, Fugui1,2 (AUTHOR), Ren, Huili1,2 (AUTHOR), Wang, Xiangning1,2 (AUTHOR), Shen, Zhuoliang1,2 (AUTHOR), Han, Haixia1,2 (AUTHOR), Chen, Weizhong1,2 (AUTHOR) chenweizhong124@163.com |
| Source: | International Journal of Robust & Nonlinear Control. 5/10/2026, Vol. 36 Issue 7, p4014-4023. 10p. |
| Subjects: | Fault diagnosis, Positive systems, Robust control, Observability (Control theory), Discrete-time systems, Stability criterion, Convex sets |
| 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 ℓ∞/ℓ−$$ {\ell}_{\infty }/{\ell}_{-} $$ 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. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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