Concurrent contact planning and trajectory optimization in one step walking motion

Carlotta Mummolo, Luigi Mangialardi, Joo Hyun Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Bipeds' trajectories and control during walking are closely coupled with the contact force distribution in time and space as an indeterminate problem. Therefore, generating the motion of redundant bipeds in presence of unilateral contact is usually formulated as a nonlinear constrained optimization problem. The optimal walking motion must be solved in terms of trajectories, control, contact status (i.e., when, where, and whether a foot is in contact), and contact response (i.e., ground reaction forces). The solution for this problem requires predictive methods within the general optimal motion planning framework. However, there is a lack of fully predictive methods that can concurrently solve for all the above mentioned unknowns. This represents an important challenge in the simulation, design, analysis, and control of general robotic systems. A novel approach for the optimal motion planning of multibody systems with contacts is developed, based on a Sequential Quadratic Programming (SQP) algorithm for Nonlinear Programming (NLP). The complete formulation is presented and demonstrated with numerical experiments on a simple planar biped with the assigned task of one complete step motion in forward progression.

Original languageEnglish (US)
Title of host publication27th Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
Volume8
DOIs
StatePublished - 2015
EventASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015 - Boston, United States
Duration: Aug 2 2015Aug 5 2015

Other

OtherASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015
CountryUnited States
CityBoston
Period8/2/158/5/15

Fingerprint

Trajectory Optimization
Concurrent
Trajectories
Planning
Contact
Motion planning
Motion
Motion Planning
Quadratic programming
Constrained optimization
Nonlinear programming
Trajectory
Unilateral Contact
Multibody Systems
Contact Force
Robotics
Constrained Optimization Problem
Nonlinear Optimization
Quadratic Programming
Progression

Keywords

  • Biped system.
  • Contact Dynamics
  • Optimal Motion Planning
  • Optimization
  • SQP

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

Cite this

Mummolo, C., Mangialardi, L., & Kim, J. H. (2015). Concurrent contact planning and trajectory optimization in one step walking motion. In 27th Conference on Mechanical Vibration and Noise (Vol. 8). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC201547745

Concurrent contact planning and trajectory optimization in one step walking motion. / Mummolo, Carlotta; Mangialardi, Luigi; Kim, Joo Hyun.

27th Conference on Mechanical Vibration and Noise. Vol. 8 American Society of Mechanical Engineers (ASME), 2015.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mummolo, C, Mangialardi, L & Kim, JH 2015, Concurrent contact planning and trajectory optimization in one step walking motion. in 27th Conference on Mechanical Vibration and Noise. vol. 8, American Society of Mechanical Engineers (ASME), ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015, Boston, United States, 8/2/15. https://doi.org/10.1115/DETC201547745
Mummolo C, Mangialardi L, Kim JH. Concurrent contact planning and trajectory optimization in one step walking motion. In 27th Conference on Mechanical Vibration and Noise. Vol. 8. American Society of Mechanical Engineers (ASME). 2015 https://doi.org/10.1115/DETC201547745
Mummolo, Carlotta ; Mangialardi, Luigi ; Kim, Joo Hyun. / Concurrent contact planning and trajectory optimization in one step walking motion. 27th Conference on Mechanical Vibration and Noise. Vol. 8 American Society of Mechanical Engineers (ASME), 2015.
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