Distributed Orientation Estimation in SO($d$) and Applications to Formation Control and Network Localization
Byung‐Hun Lee, Sung-Mo Kang, Hyo‐Sung Ahn · IEEE Transactions on Control of Network Systems · 2018
In this paper, we propose a novel distributed orientation estimation strategy, which is based on the measurements of relative orientations of neighbors, in d-dimensional space, where d ≥ 3. Since agents do not share a common reference frame, local reference frames are not aligned with each other. Under the proposed orientation estimation law, a rotation matrix that identifies the orientation of a local frame with respect to a common frame is obtained by auxiliary variables. The proposed estimation strategy is applied to formation control and network localization in 3-D space. Since the orientation of each agent is estimated in a global sense, formation control strategy ensures that the formation globally exponentially converges to the desired formation in 3-D space.