Input design for worst-case system identification with uniformly quantized measurements

Abstract

Optimal input design for system identification with quantized sensors is tackled in a worst-case setting. Under the assumption of uniformly quantized measurements, the paper addresses the one-step input design problem for static gains. Results are provided for both noise-free and noisy data and are instrumental for designing suboptimal inputs for FIR systems of arbitrary order. The input design problem over a time horizon of length N is also investigated, in order to characterize the time complexity of the considered identification problem.