Inverse optimal control for differentially flat systems with application To locomotion modeling

Navid Aghasadeghi, Timothy Bretl

Research output: Contribution to journalConference articlepeer-review


Inverse optimal control is The problem of computing a cost function with respect To which observed Trajectories of a given dynamic system are optimal. In This paper, we present a new formulation of This problem for The case where The dynamic system is differentially flat. We show That a solution is easy To obtain in This case, in fact reducing To finite-dimensional linear least-squares minimization. We also show how To make This solution robust To model perturbation, sampled data, and measurement noise, as well as provide a recursive implementation for online learning. Finally, we apply our new formulation of inverse optimal control To model human locomotion during stair ascent. Given sparse observations of human walkers, our model predicts joint angle Trajectories for novel stair heights That compare well To motion capture data (R2 = 0.97, RMSE = 1.95 degrees). These exemplar Trajectories are The basis for an automated method of Tuning controller parameters for lower-limb prosthetic devices That extends To locomotion modes other Than level ground walking.

Original languageEnglish (US)
Article number6907746
Pages (from-to)6018-6025
Number of pages8
JournalProceedings - IEEE International Conference on Robotics and Automation
StatePublished - Sep 22 2014
Event2014 IEEE International Conference on Robotics and Automation, ICRA 2014 - Hong Kong, China
Duration: May 31 2014Jun 7 2014

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Artificial Intelligence
  • Electrical and Electronic Engineering

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