Distributed Event-Triggered Attitude Estimation Without Angular Velocity Measurements

Shanshan Li, Xin Jin, Yichun Li, Fangfei Li, Herbert Werner, Yang Shan Tang · IEEE Transactions on Control of Network Systems · 2025

In this paper, a distributed event-triggered attitude estimation problem is considered for multiple rigid body systems on$\mathbb {SO}(3)$. The error in attitude estimation converges asymptotically to a common orientation among multiple rigid body systems, based on relative attitude measurements under undirected graphs. To eliminate the reliance on direct angular velocity measurements, a cascaded estimation scheme is proposed, employing indirected angular velocity estimation through a single vector measurement that is readily accessible using accelerometers or magnetometers. An event-triggered condition (ETC), grounded in clock variables, is proposed to reduce the communication and computation requirements associated with the attitude estimation. Subsequently, a rigorous convergence analysis of the attitude estimation errors is conducted, relying upon a stability criteria of invariant sets for cascade-connected systems. Furthermore, a self-triggered condition is developed to overcome the challenge of continuous monitoring throughout the event detection process. Ultimately, the efficacy of the proposed framework is validated through a numerical simulation encompassing multiple small satellites.

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