Research /
Project
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Towards Mechanical Communication in Multi-Agent Locomotive Systems
 
Ruijie Fu, Scott Kelly, Howie Choset
March 2023 - Present
Many biological multi-agent systems exhibit a mechanism for information exchange among individuals known as mechanical communication, which leads to the emergence of collective behavior within the group. Similarly, multi-agent groups of articulated robots in a shared environment can dynamically adjust their shape and movements, influencing each other’s motion through the ambient media. Recognizing the potential significance of this mechanism, we would like to investigate and harness the power of mechanical communication in the control of multi-agent locomotive systems.
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Geometric Motion Planning for Systems with Cyclic Shape Spaces
 
Ruijie Fu, Ross Hatton, Howie Choset
October 2019 - January 2023
Previous research in geometric mechanics has primarily focused on shape spaces that do not include cyclic internal degrees of freedom, such as revolute joints without joint limits. This work extends prior work to cyclic shape spaces, including shape spaces that are cylinders and tori. By explicitly analyzing the topology of the underlying shape space, we consider simple closed paths that wrap around the cyclic degree of freedom and derive geometric tools for motion planning and gait optimization on cyclic shape spaces.
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Motion Planning for Kinematic Snake under singular configuration
 
Ruijie Fu, Shuoqi Chen, Ross Hatton, Howie Choset
January - October 2020
background /
Paper /
Kinematic snake runs into singular configurations when the nonholonomic constraints are violated (e.g. one or more of the constraint equations becomes a linear combination of the others), at which point the matrix inverse becomes analytically unsolvable and thus causing discontinuities. We propose an optimization algorithm for finding high-efficient gait of nonholonomic kinematic snake that purposely enclose the singularity region, which ultimately produces the best gaits given specified input energy cost functions. Refer to the back ground paper linked above for the application of geometric mechanics to studying robot locomotion.
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Geometric Motion Planning for Systems on Cylindrical Surfaces
 
Shuoqi Chen, Ruijie Fu, Ross Hatton, Howie Choset
May 2019 - November 2020
Paper /
This work studied a newly designed three-link, quasi-static system operating on curved surface. This new model allowed us to explore to what extent the traditional geometric concepts, such as the local connection and the lie bracket techniques, can be used in motion planning on curved position space. We introduced a new “constraint projection” method to a variational gait optimizer and demonstrated how to design gaits that allow this example system to move on an inner cylindrical wall.
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Geodesic Complexity of Motion Planning on Lollipop Graph
 
Ruijie Fu, Michael Harrison, Florian Frick
June 2020 - May 2021
background /
Similar to the definition of topological complexity, geodesic complexity is a property that encodes the minimum number of continuous path planning rules needed to describe the geodesic between robot system’s starting configuration and ending configuration in a space. It is invariant under isometries. We find a metric space that potentially has higher geodesic complexity than topological complexity, and study it by using the stratification method as given in the background paper above.
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