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Firstly, a general nonlaminar model is considered for pipeline dynamics, including a treatment of faults caused by pipe restrictions. For three cases results are given for stability, robustness and fault detectability of a combined observer and residual (fault detection signal). An efficient numerical design algorithm is proposed. The method is applied to an actual experimental pipeline (rig system) which is set up to model a sub-sea umbilical. Results on modelling and on observer and residual (signal) design are given. The effectiveness of the design is tested by inducing two types of fault on the rig system.

The linear parity space method is extended to bilinear systems in this paper. A recursive algorithm for calculating the matrices in the parity equation is developed. Fault isolation is achieved by transforming residual matrix such that the effects of different faults are decoupled. The proposed method is applied to an estimated model of a gas-fired high temperature furnace. Two component faults and two sensor faults are simulated and tested. The simulation results indicate the effectiveness of the method.

A simulation study is undertaken on fault diagnosis for a gas-fired high-temperature furnace. A single-input multi-output bilinear model is found to be a suitable representation of the furnace. A recently proposed full-order bilinear state observer is used to generate the residual. Two actuator and two sensor faults are simulated and tested using this method.