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On the design of fault detection filters with game-theoretic-optimal sensitivity. (English) Zbl 1003.93019
The authors deal with the problem of fault detection and fault isolation for systems governed by equations of the form: $\dot x=A(u)x+\ell(x)m+\sum_{i=1}^dp_i(x)w_i,\quad y=Cx+v,$ where $$x\in\mathbb R^n$$, $$u\in U\subset\mathbb R^m$$, $$m\in\mathbb R$$ is the fault to detect, $$w\in\mathbb R^d$$ is the disturbance, $$y\in\mathbb R^p$$ is the measured output corrupted by measurement noise $$v$$, $$A(u)$$ is a matrix of analytic functions. Exploiting the tools and the results of the geometric approach to the problem of residual generation, a method is proposed for the design of a filter which attenuates the effect of the measurement noise on the residual in the case where the effect of the fault on the residual is minimal. For more results and references, see R. H. Chen and J. L. Speyer [Int. J. Adapt. Control Signal Process. 14, 747-757 (2000; Zbl 0974.93066), Int. J. Robust Nonlinear Control 12, 675-696 (2002; Zbl 1032.93017)], W. H. Chung and J. L. Speyer [IEEE Trans. Autom. Control 43, 143-161 (1998; Zbl 0907.93056)].

##### MSC:
 93B51 Design techniques (robust design, computer-aided design, etc.) 90B25 Reliability, availability, maintenance, inspection in operations research 93B27 Geometric methods
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