English

$H_{\infty}$ Inverse Optimal Attitude Tracking on the Special Orthogonal Group $SO(3)$

Systems and Control 2021-07-19 v1 Systems and Control Optimization and Control

Abstract

The problem of attitude tracking using rotation matrices is addressed using an approach which combines inverse optimality and L2\mathcal{L}_{2} disturbance attenuation. Conditions are provided which solve the inverse optimal nonlinear HH_{\infty} control problem by minimizing a meaningful cost function. The approach guarantees that the energy gain from an exogenous disturbance to a specified error signal respects a given upper bound. For numerical simulations, a simple problem setup from literature is considered and results demonstrate competitive performance.

Keywords

Cite

@article{arxiv.2107.07960,
  title  = {$H_{\infty}$ Inverse Optimal Attitude Tracking on the Special Orthogonal Group $SO(3)$},
  author = {Farooq Aslam and M. Farooq Haydar},
  journal= {arXiv preprint arXiv:2107.07960},
  year   = {2021}
}