期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 65, 期 6, 页码 2598-2611出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2019.2938318
关键词
Rigidity; Aerospace electronics; Laplace equations; Transmission line matrix methods; Shape; Position measurement; Convergence; Rigidity theory; similar formation control
资金
- ST Engineering-NTU Corporate Laboratory through the NRF Corporate Laboratory@University Scheme and Projects of Major International (Regional) Joint Research Program NSFC [61720106011]
This paper develops a ratio-of-distance (RoD) rigidity theory to study when a framework can be uniquely determined by a set of RoD constraints up to similar transformations (translation, rotation, scaling, and reflection). In particular, a framework is specified by a set of RoD constraints (the RoD of a pair of edges joining a common vertex) instead of distance, bearing, and angle constraints assumed in existing literature. Its relations to three existing rigidity theories (distance, bearing, and angle rigidity theories) are established. The proposed RoD rigidity theory is further applied to the RoD-based similar formation stabilization problem, where the desired formation shape is expressed as a set of RoD constraints. Finally, numerical simulations are presented to illustrate the effectiveness of the theoretical results.
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