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Preview-Based Discrete-Time Dynamic Formation Control Over Directed Networks via Matrix-Valued Laplacian
IEEE Transactions on Cybernetics
|April 30, 2019
Summary
This study addresses dynamic formation control for discrete-time agents using preview-based controllers. The proposed P-like and PD-like methods effectively manage time-varying formations in directed graph networks.
Area of Science:
- Robotics
- Control Theory
- Distributed Systems
Background:
- Cooperative agents require formation control for coordinated tasks.
- Existing methods often rely on fixed formations or continuous-time dynamics.
- Discrete-time formation control with time-varying shapes presents unique challenges.
Purpose of the Study:
- To develop a novel approach for dynamic formation control in discrete-time multi-agent systems.
- To enable agents to adapt to time-varying formation shapes while maintaining coordination.
- To overcome limitations of traditional formation control methods in discrete-time settings.
Main Methods:
- Utilizing preview-based Proportional (P)-like and Proportional-Derivative (PD)-like controllers.
- Adapting matrix-valued Laplacian concepts for discrete-time dynamics.
- Designing controllers that consider future formation configurations.
Main Results:
- The proposed preview-based controllers effectively solve the dynamic formation control problem.
- Controllers demonstrate successful coordination of agents with time-varying geometric formations.
- Numerical simulations validate the efficacy and robustness of the developed control strategies.
Conclusions:
- Preview-based control offers a viable solution for dynamic formation control in discrete-time systems.
- The proposed controllers provide a robust framework for achieving adaptable formations.
- This research advances the capabilities of cooperative multi-agent systems in complex, dynamic environments.
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