FAULT DETECTION FILTER DESIGN FOR DISCRETE-TIME SWITCHED TIME-DELAY SYSTEMS WITH STATIC QUANTIZER AND QUANTIZED FEEDBACK

This study solves the problem of the fault detection filter design for switched time-delay systems with quantization effects. We introduce the static quantizer, and the quantizer error is concerned about in this study. Subsequently, we design fault detection filters as residual generators to make exponential stability of augmented switched systems. Then, for the disturbances and the faults input, the estimation error between the faults and residuals is minimized. The fault detection (FD) problem is translated into the problem of H-infinity filtering. Lyapunov-Krasovskii function is constructed with average dwell-time switching rules, sufficient conditions are established for FD filter based on linear matrix inequality (LMI), and the filter gains are obtained by solving the problem of convex optimization. Finally, we give an example to demonstrate the theoretical developments by numerical simulations.