Abstract
This paper addresses the mixed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-</sub> /H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fault detection observer design problem for linear parameter-varying systems. The fault detection filter design is an optimal Luenberger observer synthesized which ensures guaranteed levels of fault detection in finite frequency domain and disturbance attenuation. With the aid of GKYP Lemma, extended Bounded Real Lemma, performance indexes are translated into a convex linear matrix inequality (LMI) optimization problem to avoid the complexity of system associated with weight functions. An iterative linear matrix inequality algorithm is given to obtain the solutions. The effectiveness of the filter is illustrated via a numerical example.
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