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1724639 Vol 10 · Issue 5 Download Paper

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

Anyanwu Obioma Anselam Patrick U. Anyanwu Engr. Dr. Emmanuel Nnali-Uroh Ijeoma Precious Ugwu Esther Nwachukwu Ibe Tochukwu Cosmas Okolie Chukwuemeka Anselm

Subject area: Science,Engineering and Technology  ·  Area of research: UTM / Satellite Communications / Control Systems

Abstract

Unmanned aerial vehicle navigation under lossy satellite backhauls demands robust probabilistic safety guarantees. This paper introduces a rigorous chance-constrained Model Predictive Control (MPC) framework that reformulates stochastic collision avoidance into deterministic Second-Order Cone Programming (SOCP) equivalents. By integrating satellite-terrestrial telemetry via NigComSat-1R parameters, the proposed architecture guarantees recursive feasibility and robust collision avoidance within 4D Cylindrical Volume Exclusion (CVE) models under packet jitter, Age-of-Information (AoI) degradation, and telemetry latency. 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. Ultimately, this approach provides a reliable paradigm shift for sub-national Unmanned Traffic Management (UTM) airspace integration.

Keywords

second-order cone programming; stochastic model predictive control; unmanned traffic management; satellite communications; age of information

References

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[6] Anyanwu OO, Nnali-Uroh E, Soyinka O. Sub-national airspace management frameworks and risk-based airspace zoning for low-altitude drone operations in Nigeria. Nigerian Journal of Technology. 2026;45(2):112–125.

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[14] Anyanwu OO, et al. Decentralized multi-agent trajectory optimization for low-altitude unmanned traffic management. African Journal of Science, Technology, Innovation and Development. 2025;18(3):240–258.

How to cite this paper

Anyanwu Obioma Anselam, Patrick U. Anyanwu, Engr. Dr. Emmanuel Nnali-Uroh, Ijeoma Precious Ugwu; Esther Nwachukwu, Ibe Tochukwu Cosmas; Okolie Chukwuemeka Anselm "Chance-Constrained Stochastic MPC to Deterministic Second-Order Cone Programming Equivalents for Lossy Satellite Links" Iconic Research And Engineering Journals Volume 10 Issue 5 2026 Page 501-504
Anyanwu Obioma Anselam, Patrick U. Anyanwu, Engr. Dr. Emmanuel Nnali-Uroh, Ijeoma Precious Ugwu; Esther Nwachukwu, Ibe Tochukwu Cosmas; Okolie Chukwuemeka Anselm "Chance-Constrained Stochastic MPC to Deterministic Second-Order Cone Programming Equivalents for Lossy Satellite Links" Iconic Research And Engineering Journals, vol. 10, no. 5, Nov. 2026
Anyanwu Obioma Anselam, Patrick U. Anyanwu, Engr. Dr. Emmanuel Nnali-Uroh, Ijeoma Precious Ugwu; Esther Nwachukwu, Ibe Tochukwu Cosmas; Okolie Chukwuemeka Anselm (2026). Chance-Constrained Stochastic MPC to Deterministic Second-Order Cone Programming Equivalents for Lossy Satellite Links. Iconic Research And Engineering Journals, 10(5).
Anyanwu Obioma Anselam, Patrick U. Anyanwu, Engr. Dr. Emmanuel Nnali-Uroh, Ijeoma Precious Ugwu; Esther Nwachukwu, Ibe Tochukwu Cosmas; Okolie Chukwuemeka Anselm "Chance-Constrained Stochastic MPC to Deterministic Second-Order Cone Programming Equivalents for Lossy Satellite Links" Iconic Research And Engineering Journals, vol. 10, no. 5, Nov. 2026.
@article{1724639,
      author = {Anyanwu Obioma Anselam, Patrick U. Anyanwu, Engr. Dr. Emmanuel Nnali-Uroh, Ijeoma Precious Ugwu; Esther Nwachukwu, Ibe Tochukwu Cosmas; Okolie Chukwuemeka Anselm},
      title = {Chance-Constrained Stochastic MPC to Deterministic Second-Order Cone Programming Equivalents for Lossy Satellite Links},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {5},
      pages = {501-504},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1724639.pdf},
      abstract = {Unmanned aerial vehicle navigation under lossy satellite backhauls demands robust probabilistic safety guarantees. This paper introduces a rigorous chance-constrained Model Predictive Control (MPC) framework that reformulates stochastic collision avoidance into deterministic Second-Order Cone Programming (SOCP) equivalents. By integrating satellite-terrestrial telemetry via NigComSat-1R parameters, the proposed architecture guarantees recursive feasibility and robust collision avoidance within 4D Cylindrical Volume Exclusion (CVE) models under packet jitter, Age-of-Information (AoI) degradation, and telemetry latency. 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. Ultimately, this approach provides a reliable paradigm shift for sub-national Unmanned Traffic Management (UTM) airspace integration.},
      keywords = {second-order cone programming; stochastic model predictive control; unmanned traffic management; satellite communications; age of information},
      month = {November},
  }