Performance limits of network delay systems based on bandwidth and packet loss constraints

Abstract

In this work, we study the error limits of the network delay systems in terms of bandwidth and packet loss. The tracking error index of networked delay systems is identified by the tracking error energy. The error limits of the network delay systems are achieved by the spectral decomposition and partial decomposition techniques. The results of this work show that the tracking error limits are relevant to the inherent characteristics of the provided object (non‐minimum phase zero, time delay, and unstable pole). In addition, the packet loss, channel noise, and bandwidth also determine the error limits of the network delay systems. The simulation results show that the theory presented is valid.

Fixed-time consensus of second-order multi-agent systems with nonlinear dynamics

“…In recent years, researches on distributed cooperative control of multi-agent system have attracted widespread attention because of wide applications by many researchers (Hu et al, 2021;Lu et al, 2021;Zhan et al, 2020Zhan et al, , 2021, such as robot manipulators systems, unmanned air vehicles, underwater vehicle, and so on. Consensus is a typical problem in the field of cooperative control for multi-agent system (Wang et al, 2022;Wu et al, 2021).…”

Optimal tracking performance of network time‐delay systems with multiple constraints

“…NCSs have been widely used in various fields due to the advantages of low operation and maintenance costs, high flexibility, low complexity, and high reliability compared with traditional control systems, such as military [5], unmanned vehicles [6], telemedicine [7], robot control [8,9], aerospace [10], and factory monitoring. As NCSs become more widely used, many challenges came into being, including bandwidth limitations [11][12][13], time-delay [14], packet loss [15,16], and channel noise. These problems often lead to degraded system performance and can even affect the stability of the system.…”

Optimal tracking performance of communication‐constrained systems under energy constraints

“…Therefore, the problem of the OTP has triggered extensive thinking among scholars in recent years, and some results have been achieved [19][20][21][22][23][24][25][26][27][28][29]. For instance, the authors used the squared of the time domain integral as a performance indicator in Wang et al [19] to derive the performance of the single input single output (SISO) system.…”

“…Guan et al [20] investigated the OTP of CCSs with bandwidth limitation and colored noise. In [21], the system OTP problem under the combined effect of bandwidth and Gaussian white noise was studied. The OTP for the article [22] concerned the impact of a single-input multiple-output system with noise and packet loss on fixed time delay.…”