Abstract

In this paper, an adaptive feedback-based stable fault detection scheme is developed for linear time-invariant systems with sensor uncertainties and system parameter uncertainties. A parametric sensor uncertainty model with additive faults and multiplicative faults is introduced. To employ the model-based fault detection method, the sensor dynamics is derived. Based on the newly developed sensor dynamic models, a set of estimation model systems are established to estimate the sensor signals. Unlike most fault detection schemes which operate under the assumption that all system signals remain bounded under sensor uncertainty conditions, the adaptive sensor detection scheme proposed in this paper is integrated with an adaptive feedback controller which is designed to ensure the desired signal boundedness requirement needed for stable sensor uncertainty detection operation. By observing residuals between the sensor signals and the estimation model signals, the sensor uncertainty can be detected and specific uncertainty patterns can be identified. Desired adaptive sensor uncertainty detection performance is demonstrated in the simulation study for a linearized longitudinal aircraft flight control system.

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