# Design and Application of Logical Range Framework Based on Digital Twin
## 1 Introduction  
From the conceptual development of integrated flight testing emerges the concept of joint testing. A joint test can realize the seamless connection of cross-regional proving grounds, complete the interconnection between different test systems, and realize the data sharing, reusability, and combinability of test resources [1, 2]. In order to implement joint testing across a range, it is necessary to connect multiple cross-area range resources and facilities, from which the concept of Logical Range arises. A Logical Range refers to the aggregation of test resources without geographical boundaries, across various ranges and facilities [3]. Use of the Logical Range concept can overcome the shortcomings of traditional test ranges, such as geographical division, single capability, and difficulties in completing certain comprehensive test tasks. It allows for the connection of many different ranges and test resources in a network, such that these ranges distributed in different geographical locations logically form a comprehensive range, allowing for full use of the facilities and resources of each range [4]. However, there are two main problems in existing Logical Range test processes: First, the reusability of test resources is low. For test resources that have a simple functional design but short life or those which are single-use only, a Logical Range cannot realize their long-term reuse. Second, the real-time resource status monitoring ability is insufficient. There are many types and quantities of test resources in the joint testing process. As the goal of each test is different, the test resources included also differ, which leads to existing Logical Range approaches being unable to monitor the status of all test resources in real-time, thus rendering the joint test inefficient. With the development of simulation and computer technology, Digital Twin technology has played increasingly important roles in the fields of digital workshops [5, 6, 7], digitalcities [8; 9; 10], and intelligent manufacturing [11; 12; 13; 14; 15]. Digital twin technology provides a link between physical space and virtual space. Moreover, it can make full use of physical models, real-time data, and historical operation and maintenance data, allowing for the combination of multi-variable, multi-scale, and multi-probability computer simulation processes to construct twins of physical entities in virtual space. Further, it can also reproduce all of the states of physical entities in real-time, providing high fidelity and high integration and, thus, reflecting the whole life-cycle process of the entity and its state [16]. The emergence of Digital Twin technology provides an effective solution to the above-mentioned problems related to the Logical Range. One of the goals of Logical Range systems based on the use of a digital twin is to realize the real-time digital mirroring of range resources and flight test processes, as well as the data-driven real-time state synchronization mapping of virtual and real ranges through the construction of a multi-dimensional high-fidelity range dynamic model. Another aim of these systems is to combine artificial intelligence algorithms for data analysis, mining, fault diagnosis, and intelligent decision making, thus realizing the transparency, efficiency, and intelligence of the range. The digital twin of the test resource is constructed in the virtual scene, and its operation logic is learned through the artificial intelligence algorithm during the test process. In some scenarios, the twin is used to replace the real test resources, in order to improve the reuse rate of resources. The insufficient real-time test resource status-monitoring ability in the Logical Range can be resolved by observing the state change of the twin of the physical test resource in real-time during the test process. In recent years, scholars at home and abroad have conducted in-depth research on the theoretical concept and model construction of digital twins in the fields of aerospace and flight testing.