Optimal tracking performance of communication constrained systems with fading channel and quantization constraint

Abstract

Listen

Translate article

AbstractThis paper studies the optimal tracking performance (OTP) of multiple‐input multiple‐output (MIMO) discrete communication constrained systems (CCSs) with fading channel and quantization constraints. An equivalent average channel is used to replace the fading channel with colored noise, and the gain of the output ports of the two channels is consistent in the first and second moments. Combined with spectral decomposition, co‐prime decomposition, partial fractional decomposition and other methods, the quantitative explicit expression of OTP is eventually derived. The result shows that the OTP is related to nonminimum phase (NMP) zeros and unstable poles and their directions of controlled plant, and is also affected by quantization error and colored noise. At last, a numerical example is utilized to verify the theory.