Noisy Precursors for Nonlinear System Instability With Application to Axial Flow Compressors
MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
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This dissertation addresses monitoring of nonlinear systems for detection and prediction of incipient instabilities. The analysis and design presented here rely on the in uence of noise on system behavior near the onset of instability. The work is of relevance to high performance engineering systems, which are often operated with a low stability margin in order to maximize performance. In such a stressed operating mode, a small or moderate disturbance can result in loss of stability of the nominal operating condition. This can be followed by operation in a new lower performance mode, oscillatory behavior, or even system collapse. All of these conditions can be viewed as bifurcations in the underlying dynamical models. Prediction of the precise onset points of these instabilities is made di cult by the lack of accurate models for complex engineering systems. Thus, in this thesis monitoring systems are proposed that can signal an approaching instability before it occurs, without requiring a precise system model.
- Numerical Mathematics
- Acoustic Detection and Detectors