Periodic Event-Triggered Explicit Reference Governor for Constrained Attitude Control on SO(3)

• URL: http://arxiv.org/abs/2604.04041v1
• Date: Sun, 05 Apr 2026 09:47:32 GMT
• Title: Periodic Event-Triggered Explicit Reference Governor for Constrained Attitude Control on SO(3)
• Abstract summary: We propose a novel Periodic Event-Triggered Explicit Reference Governor (PET-ERG)<n>PET-ERG enforces input saturation and geometric pointing constraints without relying on online optimization.<n>We rigorously establish the stability and exponential convergence of the closed-loop system for almost all initial configurations.
• Score: 0.7346058953290145
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This letter addresses the constrained attitude control problem for rigid bodies directly on the special orthogonal group SO(3), avoiding singularities associated with parameterizations such as Euler angles. We propose a novel Periodic Event-Triggered Explicit Reference Governor (PET-ERG) that enforces input saturation and geometric pointing constraints without relying on online optimization. A key feature is a periodic event-triggered supervisory update: the auxiliary reference is updated only at sampled instants when a robust safety condition is met, thereby avoiding continuous-time reference updates and enabling a rigorous stability analysis of the cascade system on the manifold. Through this structured approach, we rigorously establish the asymptotic stability and exponential convergence of the closed-loop system for almost all initial configurations. Numerical simulations validate the effectiveness of the proposed control architecture and demonstrate constraint satisfaction and convergence properties.

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