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Coordinated Path Following of UAVs using Event-Triggered Communication over Networks with Digraph Topologies

Hyungsoo Kang, Isaac Kaminer, Venanzio Cichella, Naira Hovakimyan

TL;DR

This work tackles coordinated path following for multiple UAVs under limited communications by introducing a decentralized event-triggered communication scheme on digraph topologies. Each UAV maintains a coordination state $\gamma_i(t)$ and a trajectory reference $p_{d,i}(\gamma_i(t))$, with a Lyapunov-based ETC controller ensuring exponential convergence of coordination errors while guaranteeing Zeno-exclusion. The contributions include a concrete ETC-based control law, neighbor-estimation mechanisms, and rigorous stability analysis, validated by simulations on quadrotors showing reduced communication and robust synchronization under disturbances. The approach enables scalable, energy-efficient UAV coordination in networks with time-varying connectivity and constrained bandwidth.

Abstract

This article presents a novel time-coordination algorithm based on event-triggered communication to ensure multiple UAVs progress along their desired paths in coordination with one another. In the proposed algorithm, a UAV transmits its progression information to its neighbor UAVs only when a decentralized trigger condition is satisfied. Consequently, it significantly reduces the volume of inter-vehicle communications required to achieve the goal compared with the existing algorithms based on continuous communication. With such intermittent communications, it is shown that a decentralized coordination controller guarantees exponential convergence of the coordination error to a neighborhood of zero. Furthermore, a lower bound on the difference between two consecutive event-triggered times is provided showing that the Zeno behavior is excluded with the proposed algorithm. Lastly, simulation results validate the efficacy of the proposed algorithm.

Coordinated Path Following of UAVs using Event-Triggered Communication over Networks with Digraph Topologies

TL;DR

This work tackles coordinated path following for multiple UAVs under limited communications by introducing a decentralized event-triggered communication scheme on digraph topologies. Each UAV maintains a coordination state and a trajectory reference , with a Lyapunov-based ETC controller ensuring exponential convergence of coordination errors while guaranteeing Zeno-exclusion. The contributions include a concrete ETC-based control law, neighbor-estimation mechanisms, and rigorous stability analysis, validated by simulations on quadrotors showing reduced communication and robust synchronization under disturbances. The approach enables scalable, energy-efficient UAV coordination in networks with time-varying connectivity and constrained bandwidth.

Abstract

This article presents a novel time-coordination algorithm based on event-triggered communication to ensure multiple UAVs progress along their desired paths in coordination with one another. In the proposed algorithm, a UAV transmits its progression information to its neighbor UAVs only when a decentralized trigger condition is satisfied. Consequently, it significantly reduces the volume of inter-vehicle communications required to achieve the goal compared with the existing algorithms based on continuous communication. With such intermittent communications, it is shown that a decentralized coordination controller guarantees exponential convergence of the coordination error to a neighborhood of zero. Furthermore, a lower bound on the difference between two consecutive event-triggered times is provided showing that the Zeno behavior is excluded with the proposed algorithm. Lastly, simulation results validate the efficacy of the proposed algorithm.

Paper Structure

This paper contains 9 sections, 2 theorems, 35 equations, 6 figures.

Key Result

Lemma 1

The spectrum of $\bar{L}\triangleq QLQ^\top$ is the same as that of $L$ without the first eigenvalue $\lambda_1=0$.

Figures (6)

  • Figure 1: Time-coordinated path-following of five quadrotors. The starting points of the desired trajectories, blue dots, are on $y=0\,m$. The final points, red dots, are on $y=150\,m$.
  • Figure 2: Topology of the underlying communication network.
  • Figure 3: Convergence of the coordination error $\gamma_i(t)-\gamma_j(t)$$(i<j)$ to a neighborhood of zero.
  • Figure 4: Convergence of $\dot{\gamma}_i(t)$ to a neighborhood of $\dot{\gamma}_d(t)$.
  • Figure 5: Path-following errors.
  • ...and 1 more figures

Theorems & Definitions (10)

  • Remark 1
  • Remark 2
  • Remark 3
  • Remark 4
  • Remark 5
  • Lemma 1
  • proof
  • Theorem 1
  • proof
  • Remark 6