Distributed Fixed-Time Cooperative Tracking Control for Multi-Robot Systems

Boda Ning1, Jiong Jin1, Zongyu Zuo2, Jinchuan Zheng1, Qing-Long Han1

  • 1Swinburne University of Technology
  • 2Beihang University

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Regular Papers

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11:30 - 12:45 | Tue 30 May | Room 4511/4512 | TUB5

Multi-Robot Systems 2

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Abstract

In this paper, we study the fixed-time cooperative tracking control problem for multi-robot systems with double-integrator dynamics. First, a novel distributed observer is proposed for each follower to estimate the leader state in a fixed time, then a local tracking controller based on sliding mode technique is proposed such that the estimated leader state is tracked in a fixed time. Both cases of a stationary leader and a dynamic leader are investigated. Since nonholonomic dynamics can better describe the mobile robots in reality, we further extend the results to achieve fixed-time cooperative tracking for multi-robot systems with nonholonomic dynamics. Different from the conventional finite-time cooperative tracking strategies, the fixed-time approach in this work guarantees that an upper bound of settling time can be prescribed without dependence on initial states of robots, which provides additional system information in advance. Finally, numerical simulations are given to demonstrate the effectiveness of the theoretical results.

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