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Joint Trajectory and Communication Design for Multi-UAV Enabled Wireless Networks (1705.02723v3)

Published 8 May 2017 in cs.IT, math.DS, math.IT, and math.OC

Abstract: Unmanned aerial vehicles (UAVs) have attracted significant interest recently in assisting wireless communication due to their high maneuverability, flexible deployment, and low cost. This paper considers a multi-UAV enabled wireless communication system, where multiple UAV-mounted aerial base stations (BSs) are employed to serve a group of users on the ground. To achieve fair performance among users, we maximize the minimum throughput over all ground users in the downlink communication by optimizing the multiuser communication scheduling and association jointly with the UAVs' trajectory and power control. The formulated problem is a mixed integer non-convex optimization problem that is challenging to solve. As such, we propose an efficient iterative algorithm for solving it by applying the block coordinate descent and successive convex optimization techniques. Specifically, the user scheduling and association, UAV trajectory, and transmit power are alternately optimized in each iteration. In particular, for the non-convex UAV trajectory and transmit power optimization problems, two approximate convex optimization problems are solved, respectively. We further show that the proposed algorithm is guaranteed to converge to at least a locally optimal solution. To speed up the algorithm convergence and achieve good throughput, a low-complexity and systematic initialization scheme is also proposed for the UAV trajectory design based on the simple circular trajectory and the circle packing scheme. Extensive simulation results are provided to demonstrate the significant throughput gains of the proposed design as compared to other benchmark schemes.

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Authors (3)
  1. Qingqing Wu (263 papers)
  2. Yong Zeng (186 papers)
  3. Rui Zhang (1138 papers)
Citations (1,451)

Summary

Joint Trajectory and Communication Design for Multi-UAV Enabled Wireless Networks

The paper "Joint Trajectory and Communication Design for Multi-UAV Enabled Wireless Networks" by Qingqing Wu, Yong Zeng, and Rui Zhang proposes an optimization framework for unmanned aerial vehicle (UAV) assisted wireless communication systems. This research is driven by the increasing interest in leveraging UAVs for enhancing wireless network performance due to their high maneuverability, flexible deployment, and reduced costs compared to traditional ground base stations (BSs).

Problem Statement and Formulation

The authors consider a multi-UAV wireless communication network wherein multiple aerial base stations are employed to serve a group of ground users. To ensure fair performance across all users, they aim to maximize the minimum throughput for any user in the downlink communication. This involves a joint optimization of multiuser communication scheduling and association, UAV trajectories, and power control. The problem is formulated as a mixed integer non-convex optimization problem, which presents significant computational challenges.

Solution Approach

To address the non-convex nature and complexity of the problem, the authors propose an iterative optimization algorithm using block coordinate descent and successive convex optimization techniques. The optimization process is partitioned into:

  1. User Scheduling and Association: This step uses linearly programmed (LP) relaxation to allocate users to UAVs across different time slots.
  2. UAV Trajectory Design: Successive lower bound approximations simplify the non-convex trajectory optimization problem.
  3. Transmit Power Control: Again, successive convex optimization approximates the power control problem to mitigate interference between UAVs.

The algorithm iteratively refines each block while holding others constant, ensuring convergence to a locally optimal solution. Additionally, initial trajectories are systematically generated using the circle packing approach to speed up convergence and ensure practical UAV deployment.

Numerical Results and Implications

The paper presents extensive simulation results highlighting the significant throughput improvements possible with the proposed joint design. Key observations include:

  • Improved Max-Min Throughput: By optimizing trajectories and power control jointly, the proposed method significantly outperforms benchmarks such as static UAV placements and simple trajectory designs.
  • Tradeoff between Throughput and Access Delay: Larger periods (T) allow the UAVs to achieve better air-to-ground links by flying closer to the users, enhancing throughput at the expense of increased access delay.
  • Multiple UAV Deployment: Deploying multiple UAVs substantially alleviates the throughput-access delay tradeoff by reducing the need for UAVs to travel long distances to serve users, thereby allowing concurrent transmissions and reducing access delays.

Theoretical Contributions and Future Directions

The theoretical contributions of this paper are twofold:

  1. Algorithmic Framework: The proposed block coordinate descent method with successive convex approximations provides an effective approach for solving mixed integer non-convex optimization problems, which could be adapted to various applications beyond UAV networks.
  2. Practical UAV Implementation: The findings support the practical implementation of multi-UAV networks, suggesting a structured approach to leveraging UAV mobility for optimizing wireless communication networks.

Speculation on Future AI Developments

Future developments in AI could further enhance this framework by integrating:

  • Reinforcement Learning (RL): Machine learning algorithms, such as RL, could learn optimal UAV trajectories and power control policies dynamically in real-time, offering potential improvements over static optimization techniques.
  • Collaborative AI Systems: Multi-agent systems could enable UAVs to autonomously coordinate their trajectories and power levels, reducing the need for centralized control and improving scalability.
  • AI-Driven User Scheduling: Advanced AI models could precisely predict user demands and adapt schedules accordingly, thereby optimizing the user experience and network efficiency dynamically.

In conclusion, this paper presents a comprehensive and rigorous approach to optimizing multi-UAV enabled wireless networks, providing significant throughput gains and highlighting the practical considerations for deploying such systems. Future AI enhancements could further expand the applicability and efficiency of these networks, driving the next wave of innovation in wireless communications.