A finite frequency approach to quantized fault estimations

The fault estimations problem for networked control systems with signal quantization is considered. With the logarithmic quantizer consideration, the recently developed Generalized Kalman-Yakubovich-Popov (GKYP) Lemma is exploited to formulate the quantized fault estimation filter design problem in finite frequency domain. The quantzied measurement signals are dealt with by utilizing the sector bound method, in which the quantization error is treated as sector-bounded uncertainty. LMI-based conditions are given to design the quantized filter to make the error between residual and fault as small as possible despite of the disturbance effects and quantization errors. And a numerical example is given to illustrate the effectiveness of the proposed method.