Integrated Structure-Control Design of a Bipedal Robot Based on Passive Dynamic Walking

Josué Nathán Martínez-Castelán and Miguel Gabriel Villarreal-Cervantes
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Josué Nathán Martínez-Castelán: Mecatronic Section, Postgraduate Department, Instituto Politécnico Nacional, CIDETEC, Mexico City 07700, Mexico
Miguel Gabriel Villarreal-Cervantes: Mecatronic Section, Postgraduate Department, Instituto Politécnico Nacional, CIDETEC, Mexico City 07700, Mexico

Mathematics, 2021, vol. 9, issue 13, 1-26

Abstract: The design of bipedal robots is generally fulfilled through considering a sequential design approach, where a synergistic relationship between its structure and control features is not promoted. Hence, a novel integrated structure-control design approach is proposed to simultaneously obtain the optimal structural description, the torque magnitudes, and the on/off time intervals for the control signal input of a semi-passive bipedal robot. The proposed approach takes advantage of the natural dynamics of the system and the control signal activation/deactivation for generating stable gait cycles with minimum energy consumption. Consequently, the passive features of the semi-passive bipedal robot are included in the integrated structure-control design process through evaluating the system behavior along consecutive passive and semi-passive walking stages. Then, the proposed design approach is formulated as a nonlinear discontinuous dynamic optimization problem, where the solution search is carried out using the differential evolution algorithm due to the discontinuities of the semi-passive bipedal robot dynamics. The results of the proposal are compared with those obtained by a sequential design process. The integrated structure-control design achieves a reduction of 63.55 % in the value of the performance function related to the synergy between the walking capability and energetic efficiency, with a reduction in the activation of the control and its magnitude of 95.41 % .

Keywords: structure-control design; optimization; passive bipedal walker; bipedal robots; differential evolution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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