Chance-Constrained Stochastic MPC to Deterministic Second-Order Cone Programming Equivalents for Lossy Satellite Links.

Unmanned aerial vehicle navigation under lossy satellite backhauls demands robust probabilistic safety guarantees. This paper reformulates joint chance-constraints into deterministic Second-Order Cone Programming (SOCP) equivalents, ensuring rigorous constraint satisfaction under packet jitter, Age-of-Information (AoI) degradation, and telemetry latency. By integrating satellite-terrestrial telemetry via NigComSat-1R parameters, the proposed receding horizon Model Predictive Control (MPC) framework guarantees recursive feasibility and robust collision avoidance within 4D Cylindrical Volume Exclusion (CVE) models. Comprehensive MATLAB numerical simulations validate that the derived SOCP formulation maintains strict spatial safety margins under severe packet dropout rates while satisfying real-time onboard solver execution limits.