A Novel Method Designing Optimal Observer Gain for Robust Fault Detection. Issue 7 (2022)

• Record Type: Journal Article
• Authors: Tan, Junbo; Wang, Xueqian; Han, Xiao; Yang, Wenming; Liang, Bin
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 7(2022)
• Page Start: 721
• Page End: 725
• Publication Date: 2022
• Subjects: Fault detection -- set-value observer -- zonotopes; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.07.529
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper considers the design of optimal gain of set-value observer for robust fault detection (FD) from a new perspective. Set-based robust FD can be implemented by real-timely check whether the measured output is contained in the corresponding output estimation set or not. Our proposed method focuses on designing observer gains at each step to maximize the exclusion tendency of the measured output from the output estimation zonotope to achieve the goal of robust FD. The key deign logic is formulated as a two-level min-max optimization problem, which is further equivalently transformed into a non-convex single-level programming based on duality theory. Finally, this non-convex single-level programming can be efficiently solved via linear programming and matrix decomposition. At the end, a circuit model is used to illustrate the effectiveness of the proposed method.