<p>Multi-unmanned aerial vehicle (UAV) collaborative trajectory planning in complex three-dimensional (3D) environments faces critical challenges in real-time coordination, including balancing path optimality, collision avoidance, and computational efficiency under dynamic obstacle fields. While existing metaheuristic algorithms exhibit limitations in convergence speed and adaptability to high-density obstacles (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( &gt; 0.8 threats/km^{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>&gt;</mo> <mn>0.8</mn> <mi>t</mi> <mi>h</mi> <mi>r</mi> <mi>e</mi> <mi>a</mi> <mi>t</mi> <mi>s</mi> <mo stretchy="false">/</mo> <mi>k</mi> <msup> <mi>m</mi> <mn>3</mn> </msup> </mrow> </math></EquationSource> </InlineEquation>), this study introduces PHOENIX—a hybrid metaheuristic framework that synergizes the crested porcupine optimizer (CPO) and ant lion optimizer (ALO) through a dual-layer cooperative mechanism. Three key innovations are proposed: (1) A hierarchical flight protection zone model compliant with RTCA DO-263 standards, dynamically integrating CPO’s collision-avoidance strategies with real-time risk prediction; (2) A chaos-enhanced initialization strategy employing interval-constrained logistic mapping, which increases population diversity by 32.7% (quantified via Shannon entropy, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( p&lt;0.05\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>&lt;</mo> <mn>0.05</mn> </mrow> </math></EquationSource> </InlineEquation>); (3) An adaptive weight adjustment mechanism with nonlinear decay, achieving 23.5% and 18.7% faster convergence than particle swarm optimization (PSO) and grey wolf optimizer (GWO), respectively. Extensive evaluations on LANDSAT 9-derived 3D terrains demonstrate PHOENIX’s superiority: it reduces average path length by 6.2%, decreases threat exposure by 7.3%, and improves trajectory smoothness by 8.9% compared with state-of-the-art benchmarks. AirSim-based simulations with five UAVs validate 100% collision-free success rates in dynamic urban scenarios, outperforming CPO and ALO in robustness (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\( p&lt;0.01\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>&lt;</mo> <mn>0.01</mn> </mrow> </math></EquationSource> </InlineEquation>). The framework effectively resolves exploration-exploitation dilemmas while maintaining computational efficiency (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(&lt;50ms \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>&lt;</mo> <mn>50</mn> <mi>m</mi> <mi>s</mi> </mrow> </math></EquationSource> </InlineEquation> per planning cycle), offering a scalable solution for mission-critical applications such as disaster response and smart city logistics. By bridging bio-inspired optimization with complex system dynamics, this work advances intelligent autonomous system research.</p>

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PHOENIX: A Hybrid Metaheuristic Framework for Multi-UAV Collaborative Trajectory Planning in Complex Three-Dimensional Environments

  • Ershen Wang,
  • Haolong Xu,
  • Guipeng Ji,
  • Tengli Yu,
  • Song Xu,
  • Fei Liu,
  • Fan Li

摘要

Multi-unmanned aerial vehicle (UAV) collaborative trajectory planning in complex three-dimensional (3D) environments faces critical challenges in real-time coordination, including balancing path optimality, collision avoidance, and computational efficiency under dynamic obstacle fields. While existing metaheuristic algorithms exhibit limitations in convergence speed and adaptability to high-density obstacles ( \( > 0.8 threats/km^{3}\) > 0.8 t h r e a t s / k m 3 ), this study introduces PHOENIX—a hybrid metaheuristic framework that synergizes the crested porcupine optimizer (CPO) and ant lion optimizer (ALO) through a dual-layer cooperative mechanism. Three key innovations are proposed: (1) A hierarchical flight protection zone model compliant with RTCA DO-263 standards, dynamically integrating CPO’s collision-avoidance strategies with real-time risk prediction; (2) A chaos-enhanced initialization strategy employing interval-constrained logistic mapping, which increases population diversity by 32.7% (quantified via Shannon entropy, \( p<0.05\) p < 0.05 ); (3) An adaptive weight adjustment mechanism with nonlinear decay, achieving 23.5% and 18.7% faster convergence than particle swarm optimization (PSO) and grey wolf optimizer (GWO), respectively. Extensive evaluations on LANDSAT 9-derived 3D terrains demonstrate PHOENIX’s superiority: it reduces average path length by 6.2%, decreases threat exposure by 7.3%, and improves trajectory smoothness by 8.9% compared with state-of-the-art benchmarks. AirSim-based simulations with five UAVs validate 100% collision-free success rates in dynamic urban scenarios, outperforming CPO and ALO in robustness ( \( p<0.01\) p < 0.01 ). The framework effectively resolves exploration-exploitation dilemmas while maintaining computational efficiency ( \(<50ms \) < 50 m s per planning cycle), offering a scalable solution for mission-critical applications such as disaster response and smart city logistics. By bridging bio-inspired optimization with complex system dynamics, this work advances intelligent autonomous system research.