Modified Integral Control Globally Counters Symmetry-Breaking Biases - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Symmetry Year : 2019

Modified Integral Control Globally Counters Symmetry-Breaking Biases


We propose a modified integral controller to treat actuation biases in nonholonomic systems. In such systems, although one cannot directly counter biases along all directions, one can still aim at restoring the symmetry of coordinated motion that the biases would break. Focusing on the example of steering controlled planar vehicles, we indeed show how to perfectly stabilize a circular trajectory coordinated with the leader, despite any unknown actuation bias. The proposed solution is a simple modified integral control term, and we prove via a detailed analysis of averaging theory that this control gadget globally stabilizes the perfect coordinated motion. The corresponding general observation is that stabilizing such symmetry-preserving situation can be viewed as rejecting a bias affecting the output measurement, instead of the input command. The symmetry-restoring control then becomes an output bias rejection, dual to the more standard input bias rejection with standard integral control.
Fichier principal
Vignette du fichier
00fficial-symmetry-11-00639.pdf (4.46 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02394405 , version 1 (04-12-2019)



Zhifei Zhang, Zhihao Ling, Alain Sarlette. Modified Integral Control Globally Counters Symmetry-Breaking Biases. Symmetry, 2019, ⟨10.3390/sym11050639⟩. ⟨hal-02394405⟩
26 View
43 Download



Gmail Facebook Twitter LinkedIn More