Toward Physical Recursive Self-Improvement: A Call for Body-Control Co-Design for Humanoid Robot
Organizations: The Chinese University of Hong Kong (Shenzhen) · DexForce Technology
Abstract
Humanoid robots, as general-purpose physical agents, must integrate both intelligent control and adaptive morphology to operate effectively in diverse real-world environments. While recent research primarily optimizes control policies for fixed bodies, we advocate body-control co-design as a path toward physical Recursive Self-Improvement (RSI): using experience from a humanoid's current body and policy to guide successive improvements to both. Inspired by biological evolution, this approach enables robots to recursively adapt both their form and behavior to optimize performance within task-specific and resource-constrained contexts. Despite its promise, co-design in humanoid robotics remains a relatively underexplored domain, raising fundamental questions about its feasibility and necessity in achieving true embodied intelligence. To address these challenges, we discuss potential co-design methodologies grounded in strategic exploration, Sim2Real transfer, and meta-policy learning. We further argue for the essential role of co-design by analyzing it from methodological, application-driven, and community-oriented perspectives. Striving to guide and inspire future studies, we present open research questions, spanning from short-term innovations to long-term goals. Ultimately, co-design offers a path toward physical RSI in humanoids that improves their bodies and policies while learning to make this improvement process more effective.
Figures & tables
Appendix figures & tables2 assets
Supplementary material from the paper’s appendix.
Appendix
| Designing Method | Robot Type | Designing Parameters |
| Meta RL [ 4 ] | Quadrupedal Robot | Thigh and shank lengths; gear ratios of the actuators. |
| Bayesian Optimization [ 6 ] | Quadrupedal Robot | Parameters of parallel elastic knee joint. |
| ADMM [ 8 ] | Quadrupedal Robot | Parameters of parallel elastic actuation (PEA). |
| Bayesian Optimization [ 11 ] | Quadrupedal Robot | Thigh and shank lengths. |
| Implicit Function Theorem [ 28 ] | Quadrupedal Robot | Link length; actuator poses. |
| Adjoint Method [ 19 ] | Quadruped and Hexapod Robot | Link lengths; actuator poses; robot’s width and length |
Robot Morphology-Control Co-Design
Robot morphology-control co-design studies how to jointly shape a robot’s body and controller to improve task performance.
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