Optimal tracking performance for MIMO discrete time‐delay systems with fading channel and multiple constraints

Abstract This paper mainly studies the optimal tracking performance (OTP) of the multiple‐input multiple‐output (MIMO) discrete time‐delay system with fading channel and multiple constraints. Various factors were taken into account, including channel energy constraints, packet loss, bandwidth, quantization, codec, and fading channel with colored noise. First, in order to analyze a complex fading channel with colored noise, the networked control systems (NCSs) framework for a fading channel with colored noise is established with the help of the equivalent average channel (EAC) model, while ensuring that the mean and variance of the channel output remain unchanged. Secondly, based on the limited system output energy, a new performance indicator is proposed by using coprime decomposition, partial factorization and inner‐outer factorization, and an exact expression of the system OTP is derived through compensator design. The research results show that the OTP of the system is affected by the nonminimum phase (NMP) zeros, unstable poles (UPs) and their directions, the time delay of the controlled plant, fading channel with colored noise, and packet loss. In addition, the presence of the codec and the increase in bandwidth rate will enhance system performance. Finally, a three‐input and three‐output discrete time‐delay system is considered to verify the conclusions of this paper.