- Research Article
- 10.1299/mej.25-00278
One-degree-of-freedom planer link leg mechanisms design method for multi objectives through NSGA-II
- Jan 01, 2026
- Mechanical Engineering Journal
- Yoshihiko Matsumoto + 2 more +2
Legged robots offer superior terrain traversability compared to wheeled robots, making them a focus of extensive research. The performance of legged robots depends on their leg mechanisms. Among the various options, leg mechanisms utilizing link mechanism provide advantages in energy efficiency and load capability. However, the design of link leg mechanisms is nontrivial because the analytical design of the link mechanisms is challenging due to their nonlinear nature. Thus, our preliminary research developed a new design method for one-degree-of-freedom link leg mechanisms, one of the simplest link mechanisms, as a foundational step toward a comprehensive design method of link leg mechanisms. While this method could design functional link leg mechanisms, their performance was insufficient for properly walking because they were designed through single-objective optimization to maximize walking distance. In this study, we extend the method incorporating multi-objective optimization, Nondominated Sorting Genetic Algorithm II (NSGA-II). This approach includes two additional objectives: maximizing foot lift height and minimizing body rocking. We also refined the decoding technique to address the problem identified in our preliminary research. The improved method can design link leg mechanisms with the performance required for effective locomotion, and a fabricated link leg mechanism based on a resulting design demonstrates this capability in real-world environments.
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