Adaptive Synchronization of Uncertain Underactuated Euler-Lagrange Agents

Reference

T. Tao, S. Roy, B. De Schutter, and S. Baldi, "Adaptive synchronization of uncertain underactuated Euler-Lagrange agents," IEEE Transactions on Automatic Control, vol. 69, no. 6, pp. 3912-3927, June 2024.

Abstract

This work proposes a framework for adaptive synchronization of uncertain underactuated Euler-Lagrange (EL) agents. The designed distributed controller can handle both state-dependent uncertain system dynamics terms and state-dependent uncertain interconnection terms among neighboring agents. No structural knowledge of such terms is required other than the standard properties of EL systems (positive definite mass matrix, bounded gravity, velocity-dependent friction bound, etc.). The study of stability relies on a suitable analysis of the non-actuated and the actuated synchronization errors, resulting in stable error dynamics perturbed by parametrized state-dependent uncertainty. This uncertainty is tackled via appropriate adaptation laws, giving stability in the uniform ultimate boundedness sense, in line with the available literature on state-dependent uncertain system dynamics and/or state-dependent uncertain interconnections. An example with a network of boom cranes is used to validate the proposed approach.

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BibTeX

@article{TaoRoy:24-005,
   author  = {Tao, Tian and Roy, Spandan and De Schutter, Bart and Baldi,
              Simone},
   title   = {Adaptive Synchronization of Uncertain Underactuated
              {E}uler-{L}agrange Agents},
   journal = {IEEE Transactions on Automatic Control},
   volume  = {69},
   number  = {6},
   pages   = {3912--3927},
   month   = jun,
   year    = {2024}
   }


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