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Massachusetts Institute of Technology

Balance control and locomotion planning for humanoid robots using nonlinear centroidal models

Abstract

dc:description.abstract

Balance control approaches for humanoid robots have traditionally relied on low-dimensional models for locomotion planning and reactive balance control. Results for the low-dimensional model are mapped to the full robot, and used as inputs to a whole-body controller. In particular, the linear inverted pendulum (LIP) has long been the de facto standard low-dimensional model used in balance control. The LIP has its limitations, however. For example, it requires that the robot's center of mass move on a plane and that the robot's contact environment be planar. This thesis presents control and planning approaches using nonlinear low-dimensional models, aimed at mitigating some of the limitations of the LIP. Specically, the contributions are: 1) a closed-form controller and region of attraction analysis for a nonlinear variable-height inverted pendulum model, 2) a trajectory optimization approach for humanoid robot locomotion over moderately complex terrain based on mixed-integer nonlinear programming with a low-dimensional model, and 3) a quadratic-programming based controller that uses the the results from these low-dimensional models to control a simulation model of the Atlas humanoid robot.

Degree

thesis:*
Name thesis:degree_name
Doctoral
Department dc:contributor.department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2020

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Koolen, Frans Anton.
Advisor dc:contributor.advisor
  • Russ Tedrake.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1721.1/128291
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/128291

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Koolen, Frans Anton.. Balance control and locomotion planning for humanoid robots using nonlinear centroidal models. Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/128291