Fault detection for discrete-time fuzzy systems with measurement errors using interval observers. (English) Zbl 1507.93079
Summary: This paper presents an interval observer-based fault detection (FD) strategy for discrete-time T-S fuzzy systems with measurement errors. The system and measurement outputs are selected as the premise variables of plant and observer respectively. The bounds of mismatch items caused by the measurement errors are established by covering matched region, mismatched left adjacent region and right adjacent region. Piecewise Lyapunov function, taking full account of possible transitions, is employed to drive observer design condition. FD is turned into optimization problem with disturbance attenuation, fault sensitivity and nonnegativity constraints. The decision is implemented by judging whether zero is excluded from the residual interval. Finally, simulation is explored to verify the scheme.
MSC:
| 93B53 | Observers |
| 93C55 | Discrete-time control/observation systems |
| 93C42 | Fuzzy control/observation systems |
| 93D30 | Lyapunov and storage functions |
Keywords:
interval observer-based fault detection; discrete-time T-S fuzzy systems; piecewise Lyapunov functionReferences:
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