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This paper presents the development of a bilinear system model and the application of a bilinear fault detection observer to a papermaking machine to detect various simulated faults. First a suitable MIMO bilinear model representation of the wet end section of the process is found. Then, a set of robust bilinear fault detection observer is used to generate the residuals which are robust to disturbance...
Convex optimization plays an important role in science and engineering research. In many signal processing applications, convex optimization is one of the critical mathematical tools. For example, robust adaptive beamformer is always formulated as quadratic optimization problem with some linear or quadratic constraints. In this paper, we review some of the progresses of our group on using Constraints...
In the applications of microphone array, large steering direction error is often unavoidable because of the motion of target speaker. Although many robust beamformers possess robustness against arbitrary array steering vector (ASV) error within a presumed uncertainty set, facing a large steering direction error, their performance degrades significantly. Meanwhile, microphone array always request a...
A novel robust adaptive beamformer, with new robust constraints on array magnitude response was proposed by utilizing the autocorrelation sequence of array weight vector and the worst-case optimization technique. The proposed adaptive beamformer was formulated as a linear programming problem with second-order cone semi-infinite constraints, which can be eliminated by using the sampling technique....
Many advanced adaptive beamformers are robust against arbitrary array steering vector (ASV) mismatches within a presumed uncertainty set. Adaptive array tolerating significant steering direction error usually requires a large size of ASV uncertainty set. In such case, however, the output signal-to-interference-plus-noise ratios (SINRs) of robust methods degrade quickly with the increasing size of...
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