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Zbl 1062.93006
Floquet, T.; Barbot, J.P.; Perruquetti, W.; Djemai, M.
On the robust fault detection via a sliding mode disturbance observer. (English)
[J] Int. J. Control 77, No. 7, 622-629 (2004). ISSN 0020-7179; ISSN 1366-5820/e

Summary: This paper deals with robust fault detection for nonlinear systems. This problem is usually solved by designing an observable subsystem which is only affected by the fault and not by the control and disturbance inputs. However, such a subsystem may not exist so that the so-called fundamental problem of residual generation (FPRG) is not solvable. The aim of the present paper is to design a fault detection filter when the conditions for the existence of a solution to the nonlinear FPRG are not satisfied. Our approach is made in a geometric context. Under some decoupling assumptions, the design of sliding mode observers allows us to reconstruct the disturbance inputs and then to generate an effective residual. An illustrative example is given throughout the paper.

MSC 2000:: *93B07 Observability
93B12 Variable structure systems
90B25 Reliability, etc.

Keywords: robust fault detection; nonlinear systems; sliding mode observer; fundamental problem of residual generation; fault detection filter

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