Communication delays modelled as Gamma distributions for space-earth applications

H. Chen, Z. Liu, P. Huang and Z. Kuang, Time-Delay Modeling and Simulation for Relay Communication-Based Space Telerobot System, IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 52, no. 7, pp. 4211-4222, July 2022 DOI: 10.1109/TSMC.2021.3090806.

In a space telerobot system (STS), effectiveness of the control method in eliminating the time delay\u2019s influences is advisable to be verified under the real circumstance. However, it is difficult and costly for many scholars to obtain confidential information that would allow them to establish an STS. It may be feasible, using some existing results, to model the time delay as close to reality as possible, and to then program a simulation system to generate the simulated time delay, thus verifying validity. In this article, time-delay modeling and simulation problems for relay communication-based STS are first studied. The time delay in relay communication-based STS consists of both processing and communication time delays; the latter is divided into ground and ground-space parts. By extending the available results, processing and ground communication time delays are modeled with the probability distribution function modeling approach. An optimal communication link identification and minimum time-delay realization (OCLIMTDR) method is proposed to model the ground-space communication time delay. In this method, the novel point\u2013vector\u2013sphere (PVS) algorithm serves to judge link connectivity. The PVS algorithm is based on geometric theory, which gives the OCLIMTDR method good extensibility and renders it suitable for any relay communication network in theory. All three parts of the time-delay models are integrated to form the loop time-delay model of the STS. Subsequently, a time-delay simulation system is created by programming the loop time-delay model. Finally, the correctness of the simulation system is further authenticated based on simulations and some prior knowledge.

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