A Central Pattern Generator Network for Simple Control of Gait Transitions in Hexapod Robots based on Phase Reduction
arXiv:2404.17139 · doi:10.1007/s11071-024-10773-x
Abstract
We present a model of the central pattern generator (CPG) network that can control gait transitions in hexapod robots in a simple manner based on phase reduction. The CPG network consists of six weakly coupled limit-cycle oscillators, whose synchronization dynamics can be described by six phase equations through phase reduction. Focusing on the transitions between the hexapod gaits with specific symmetries, the six phase equations of the CPG network can further be reduced to two independent equations for the phase differences. By choosing appropriate coupling functions for the network, we can achieve desired synchronization dynamics regardless of the detailed properties of the limit-cycle oscillators used for the CPG. The effectiveness of our CPG network is demonstrated by numerical simulations of gait transitions between the wave, tetrapod, and tripod gaits, using the FitzHugh-Nagumo oscillator as the CPG unit.
arXiv comment14 pages, 6 figures
References in corpus (7)
- Phase reduction approach to synchronization of nonlinear oscillators
- Optimal waveform for the entrainment of a weakly forced oscillator
- Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling
- Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators
- Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
- Designing two-dimensional limit-cycle oscillators with prescribed trajectories and phase-response characteristics
- Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators