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author:

Xu, L. (Xu, L..) [1] | Su, Y. (Su, Y..) [2] | Cai, H. (Cai, H..) [3]

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Abstract:

This paper studies the cooperative tracking control problem for multiple mobile robots over a directed communication network. First, it is shown that the closed-loop system is uniformly globally asymptotically stable under the proposed distributed continuous feedback control law, where an explicit strict Lyapunov function is constructed. Then, by investigating the convergence rate, it is further proven that the closed-loop system is globally $\mathcal {K}$-exponentially stable. Moreover, to make the proposed control law more practical, the distributed continuous feedback control law is generalized to a distributed sampled-data feedback control law using the emulation approach, based on the strong integral input-to-state stable Lyapunov function. Numerical simulations are presented to validate the effectiveness of the proposed control methods. IEEE

Keyword:

Angular velocity Communication networks Cooperative tracking Feedback control Lyapunov methods $\mathcal {K}$ -exponential stability Mobile robots multiple nonholonomic mobile robots Robot kinematics Robot sensing systems sampled-data control strict Lyapunov function

Community:

  • [ 1 ] [Xu L.]College of Computer and Data Science, Fuzhou University, Fuzhou, China
  • [ 2 ] [Su Y.]College of Computer and Data Science, Fuzhou University, Fuzhou, China
  • [ 3 ] [Cai H.]School of Automation Science and Engineering, South China University of Technology, Guangzhou, China

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Source :

IEEE Transactions on Automatic Control

ISSN: 0018-9286

Year: 2024

Issue: 2

Volume: 70

Page: 1-8

6 . 2 0 0

JCR@2023

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

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30 Days PV: 0

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