Fault detection for logarithmic quantized feedback control systems

In this paper, the fault detection problem for a class of discrete-time quantized feedback control systems with logarithmic quantizers is investigated. A new method is proposed to handle the quantization error, i.e., the quantization error is considered as the unknown input of the residual generation. First, an optimal residual generation is designed based on H
_∞
/H
_∞
performance index. Then, a norm-based residual evaluation is provided, and a threshold is achieved by making use of mathematical expectation and variance of the residual evaluation. Finally, the false alarm rate of the designed threshold is guaranteed to be below a given level. A numerical simulation is presented to illustrate the effectiveness of the main results.