A New Scheme of Fault Detection for Linear Discrete Time-Varying Systems

• Published in: IEEE transactions on automatic control Vol. 61; no. 9; pp. 2597 - 2602
• Main Authors: Maiying Zhong, Ding, Steven X., Donghua Zhou
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2016; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Computation; Design analysis; Design engineering; Estimation; Evaluation function; Fault detection; Generators; Krein space; Linear systems; Mathematical analysis; Mathematical models; Optimization; projection; quadratic form; Robustness; Sensitivity
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2015.2497899

In this note, a new scheme of fault detection (FD) is proposed for linear discrete time-varying (LDTV) systems subject to l 2 -norm bounded unknown inputs. The basic idea is to find an optimal estimation of the l 2 -norm of the unknown inputs including the unknown initial state variables. This leads to a natural design of the FD system with the l 2 -norm boundedness of the unknown inputs as a threshold and the l 2 -norm of the unknown input estimate as the evaluation function. To avoid heavy computational burden, projection technique in Krein space is applied which allows a recursive computation of the evaluation function. It is shown that the achieved FD system satisfies both the worst case and best case sensitivity/robustness ratio criteria and further applications to observer-based FD lead to an alternative design of H ∞ /H ∞ and/or H - /H ∞ fault detection filter.