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Analysis of the Foot Placement Estimator
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Safwan Choudhury
April 14, 2012
Research
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Analysis of the Foot Placement Estimator
Safwan Choudhury
April 14, 2012
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Transcript
Foot Placement Estimator A Dynamic Measure of Balance for Bipedal
Robots ECE 688: Course Project Safwan Choudhury
Biped Locomotion
Motivations ★ Navigating Human Environments ★ Space Exploration / Military
Applications ★ Rehabilitation / Prosthetics
2011 Honda ASIMO at FIRST Robotics ★ Navigating Human Environments
2011 Honda ASIMO at FIRST Robotics ★ Navigating Human Environments
NASA’s Robonaut for International Space Station (ISS) ★ Space Exploration
/ Military Applications
Exoskeleton by Ekso Bionics ★ Rehabilitation / Prosthetics
Exoskeleton by Ekso Bionics ★ Rehabilitation / Prosthetics
Achieve stable and energetically efficient walking control strategies for bipedal
robots which mimic human-like gait
Walking Control Strategies ★ Zero-Moment Point ★ Passive Dynamics ★
Biologically Inspired Techniques ★ Central Pattern Generators ★ Neural Networks ★ Zero-Hybrid Dynamics
Zero-Moment Point
Zero-Moment Point ★ Introduced by Vukobratović in 1968 ★ Point
where the inertial and gravity moments cancel out (i.e. the moment is zero). ★ Stable if this point is within the support polygon.
Support Polygon (Region of Foot Support)
3D Linear Inverted Pendulum ★ Models entire biped as a
single point mass located at the center of mass (COM)
Remarks on ZMP ★ Popular but energetically inefficient ★ Statically
stable walking only ★ Very “robotic” (not human-like gait)
Passive Dynamics
Passive Dynamics ★ Introduced by Tad McGeer in 1990 ★
Powered only by: ★ Force of Gravity ★ Natural Dynamics θ1 θ2 m m mH x z φ
Tad McGeer’s Seminal Work (1990) ★ Passive Dynamic Walker
Tad McGeer’s Seminal Work (1990) ★ Passive Dynamic Walker
Limit Cycles and Stability in Passive Gait (Goswami et al)
★ Passive Dynamics Limit Cycle
Virtual Passive Dynamics ★ Emulates the force of gravity as
a small actuator torque θ1 θ2 m m mH x z φ
Remarks on Passive Dynamics ★ Highly energetically efficient ★ Not
robust (even small perturbations) ★ Very specific initial conditions
Foot Placement Estimator
Foot Placement Estimator ★ Introduced by Derek Wight in 2008
★ Aims to restore balance, instead of constantly maintaining balance.
Brief Summary of Derivation
Impact of FPE Location
FPE State Machine (Dwight, 2008)
Yet Another Biped Robot (YABR) ★ 2D FPE-Based Gait
Yet Another Biped Robot (YABR) ★ 2D FPE-Based Gait
Remarks on FPE ★ Inherently robust (by design) ★ Can
combine with simple control strategies ★ Makes a few assumptions (i.e. mass-less legs) ★ Requires fast control + actuators
Contributions to Bipedal Locomotion ★ Can be combined with any
other approach as an emergency mechanism (even ZMP). ★ Provides an indicator of how unstable the biped is. ★ Biologically verified with human experiments
MASc Research + Project
Project Goals ★ Implement FPE-based control strategy in dynamic simulations
★ Constrain sagittal motion without the boom (!)
Dynamic Simulations of 3D FPE Controller
Dynamic Simulations of 3D FPE Controller
Dynamic Simulations of 3D FPE Controller
Dynamic Simulations of 3D FPE Controller
MASc Goals ★ Virtual Passive Dynamics ★ Foot Placement Estimator
★ Minimizing Energy Consumption ★ Human-Like Gait Cycles
Questions?