Affiliation: | a Honeywell International, Olathe, Kansas, USA b School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore c Temasek Laboratories, National University of Singapore, 5 Sports Drive, Singapore 117508, Singapore |
Abstract: | This paper systematically studies the minimum input sensitivity analysis problem. The lowest level of sensitivity of system outputs to system inputs is defined as an H- index. A full characterization of the H- index is given, first, in terms of matrix equalities and inequalities, and then in terms of linear matrix inequalities (LMIs), as a dual of the Bounded Real Lemma. A related problem of input observability is also studied, with new necessary and sufficient conditions given, which are necessary for a fault detection system to have a nonzero worst-case fault sensitivity. The above results are applied to the problem of fault detection filter analysis, with numerical examples given to show the effectiveness of the proposed approaches. |