Discovering Optimal Natural Gaits of Dissipative Systems via Virtual Energy Injection

📅 2025-11-19
📈 Citations: 0
Influential: 0
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🤖 AI Summary
Legged robots exhibit significantly lower energy efficiency than wheeled counterparts in unstructured environments, primarily due to strong dissipation from friction and plastic impacts. Method: This paper introduces Virtual Energy Injection (VEI), a novel method that, for the first time, identifies passive dynamic gaits within strongly dissipative systems incorporating friction and plastic collisions. By integrating passive dynamics analysis, VEI, and continuous optimization, we formulate a unified multi-stage framework for generating energy-optimal gaits under full actuation. Results: The approach successfully discovers diverse natural, low-energy, and robust optimal gaits in both simulated single-leg and multi-legged robots. It substantially improves locomotion energy efficiency and terrain adaptability of compliant legged robots. By enabling energy-optimal gait synthesis in highly dissipative regimes, this work establishes a new paradigm for overcoming the fundamental energy-efficiency bottleneck in legged robotics.

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📝 Abstract
Legged robots offer several advantages when navigating unstructured environments, but they often fall short of the efficiency achieved by wheeled robots. One promising strategy to improve their energy economy is to leverage their natural (unactuated) dynamics using elastic elements. This work explores that concept by designing energy-optimal control inputs through a unified, multi-stage framework. It starts with a novel energy injection technique to identify passive motion patterns by harnessing the system's natural dynamics. This enables the discovery of passive solutions even in systems with energy dissipation caused by factors such as friction or plastic collisions. Building on these passive solutions, we then employ a continuation approach to derive energy-optimal control inputs for the fully actuated, dissipative robotic system. The method is tested on simulated models to demonstrate its applicability in both single- and multi-legged robotic systems. This analysis provides valuable insights into the design and operation of elastic legged robots, offering pathways to improve their efficiency and adaptability by exploiting the natural system dynamics.
Problem

Research questions and friction points this paper is trying to address.

Identifying passive motion patterns in dissipative legged robotic systems
Designing energy-optimal control inputs for fully actuated robots
Improving efficiency of legged robots using natural dynamics and elasticity
Innovation

Methods, ideas, or system contributions that make the work stand out.

Virtual energy injection identifies passive motion patterns
Continuation approach derives energy-optimal control inputs
Framework handles dissipative systems with friction or collisions
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Korbinian Griesbauer
School of Computation, Information and Technology, Technical University of Munich (TUM), 85748 Garching, Germany, and with the Institute of Robotics and Mechatronics, German Aerospace Center (DLR), 82234 Weßling, Germany
D
Davide Calzolari
School of Computation, Information and Technology, Technical University of Munich (TUM), 85748 Garching, Germany, and with the Institute of Robotics and Mechatronics, German Aerospace Center (DLR), 82234 Weßling, Germany
Maximilian Raff
Maximilian Raff
University of Stuttgart
legged roboticstrajectory optimizationoptimal controlnonlinear dynamics
C
C. D. Remy
Institute for Adaptive Mechanical Systems, University of Stuttgart, 70569 Stuttgart, Germany
A
A. Albu-Schaffer
School of Computation, Information and Technology, Technical University of Munich (TUM), 85748 Garching, Germany, and with the Institute of Robotics and Mechatronics, German Aerospace Center (DLR), 82234 Weßling, Germany