Nonlinear Aerospace Techniques and Their Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".

Deadline for manuscript submissions: 31 December 2026 | Viewed by 636

Editors

School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
Interests: spacecraft dynamics and control; asteroid exploration; multi-agent systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The rapid advancement of aerospace engineering poses complex challenges that transcend traditional linear analysis and design methodologies. Aerospace systems inherently exhibit strong nonlinearity, driven by nonlinear control inputs and intricate environmental interactions. These factors critically impact system performance, stability, and safety, making advanced nonlinear techniques indispensable for advancing aerospace technology and ensuring reliable operation in extreme dynamic scenarios. This Special Issue showcases cutting-edge research on nonlinear aerospace techniques and their applications, highlighting innovative methodologies, theoretical breakthroughs, and engineering solutions to address inherent nonlinear challenges.

It covers diverse nonlinear theories, algorithms, and their integration into aerospace practices, spanning nonlinear dynamics analysis, control design, system optimization, and validation in real-world aerospace missions.

We look forward to receiving your interesting submissions.

Topics include, but are not limited to, the following:

  • Dynamics and stability analysis of aerospace systems;
  • Advanced nonlinear control strategies for aerospace platforms;
  • Optimization algorithms for aerospace design, trajectory planning, and mission scheduling;
  • Estimation and state observation for aerospace systems under uncertainty;
  • Multi-agent coordination for unmanned aerial vehicles (UAVs) and satellite swarms;
  • Experimental validation and engineering implementation of nonlinear aerospace techniques;
  • Nonlinear fault diagnosis and fault-tolerant control for aerospace systems;
  • Space debris mitigation and orbital mechanics;
  • Artificial intelligence for nonlinear aerospace applications.

Dr. Ran Sun
Dr. Chengxi Zhang
Guest Editors

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Keywords

  • aerospace system
  • nonlinear dynamics and control
  • nonlinear optimization
  • mission scheduling
  • trajectory planning
  • satellite constellation
  • UAV swarm coordination
  • nonlinear state estimation
  • orbital mechanics

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Published Papers (1 paper)

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Research

16 pages, 800 KB  
Article
Joint Optimization of UAV Communication and Time-Constrained Pickup Missions
by Jun-Pyo Hong
Mathematics 2026, 14(11), 1825; https://doi.org/10.3390/math14111825 - 24 May 2026
Viewed by 351
Abstract
Unmanned aerial vehicles (UAVs) are increasingly expected to support both wireless communication and logistics missions, creating a need for integrated operation strategies that jointly manage data collection and physical item handling. This paper investigates a UAV system that simultaneously performs uplink communication with [...] Read more.
Unmanned aerial vehicles (UAVs) are increasingly expected to support both wireless communication and logistics missions, creating a need for integrated operation strategies that jointly manage data collection and physical item handling. This paper investigates a UAV system that simultaneously performs uplink communication with multiple ground nodes (GNs) while completing time-constrained item-pickup tasks. To enhance both throughput and fairness across GNs, we maximize the proportional fair spectral efficiency of GNs while ensuring that all items are collected within the required mission duration under payload and geographical constraints. The resulting formulation constitutes a mixed-integer nonconvex optimization problem involving binary pickup assignments, binary communication scheduling, and trajectory-dependent channel coupling, making direct global optimization intractable. To address this challenge, we develop an iterative convexification framework that integrates the successive convex approximation and the penalty convex–concave procedure within a block coordinate descent structure, enabling efficient joint optimization of trajectory, pickup timing/sequence, and GN scheduling. Simulation results validate that the proposed scheme dynamically shapes the UAV trajectory to improve channel conditions without violating the pickup deadline and compensates disadvantaged GNs through proportional fair scheduling. As a result, it consistently outperforms the baseline strategies under various system parameters. Full article
(This article belongs to the Special Issue Nonlinear Aerospace Techniques and Their Applications)
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