Quantized feedback control of distributed radar system with packet dropouts and time-varying delays described by 2D system

Abstract

In this paper, we present quantized state feedback control for the distributed radar with packet dropouts and time-varying delays. The measurements of state signal are quantized by logarithmic quantizer before being communicated. The measurements missing and time delay often occur due to the communication channel failure. The data missing phenomena was modeled by a Bernoulli distributed stochastic variable taking values of 1 and 0, the delays are time-varying. Firstly, the quantized state feedback control design is transformed into stability analysis for a 2D stochastic system. Secondly, we obtain the stability condition based on linear matrix inequality (LMI) of mean-square asymptotic stability of the 2D stochastic system. Additionally, a quantized state feedback controller is designed based on the linear matrix inequality theorem to meet the environmental requirements of the distributed radar system. Compared to existing methods, the proposed controller designed under this method demonstrates robustness and stability in addressing the three challenges of packet loss, time-varying delays, and quantization errors in the distributed radar. Finally, the effectiveness of the proposed method is validated through the simulation example.