Central pattern generator based on self-sustained oscillator coupled to a chain of oscillatory circuits.

Journal: Chaos (Woodbury, N.Y.)
PMID:

Abstract

We have proposed and studied both numerically and experimentally a multistable system based on a self-sustained Van der Pol oscillator coupled to passive oscillatory circuits. The number of passive oscillators determines the number of multistable oscillatory regimes coexisting in the proposed system. It is shown that our system can be used in robotics applications as a simple model for a central pattern generator (CPG). In this case, the amplitude and phase relations between the active and passive oscillators control a gait, which can be adjusted by changing the system control parameters. Variation of the active oscillator's natural frequency leads to hard switching between the regimes characterized by different phase shifts between the oscillators. In contrast, the external forcing can change the frequency and amplitudes of oscillations, preserving the phase shifts. Therefore, the frequency of the external signal can serve as a control parameter of the model regime and realize a feedback in the proposed CPG depending on the environmental conditions. In particular, it allows one to switch the regime and change the velocity of the robot's gate and tune the gait to the environment. We have also shown that the studied oscillatory regimes in the proposed system are robust and not affected by external noise or fluctuations of the system parameters. Moreover, using the proposed scheme, we simulated the type of bipedal locomotion, including walking and running.

Authors

  • Semen A Kurkin
    Immanuel Kant Baltic Federal University, Kaliningrad 236016, Russia.
  • Danil D Kulminskiy
    Sirius University of Science and Technology, Sochi 354340, Russia.
  • Vladimir I Ponomarenko
    Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Saratov 410019, Russia.
  • Mikhail D Prokhorov
    Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Saratov 410019, Russia.
  • Sergey V Astakhov
    Moscow State University, Moscow 119991, Russia.
  • Alexander E Hramov
    Artificial Intelligence Systems and Neurotechnologies, Yuri Gagarin State Technical University of Saratov, Politehnicheskaya, 77, Saratov 410054, Russia.