Design, implementation and analysis of an alternation-based Central Pattern Generator for multidimensional trajectory generation

  • Authors:
  • Mostafa Ajallooeian;Majid Nili Ahmadabadi;Babak Nadjar Araabi;Hadi Moradi

  • Affiliations:
  • Cognitive Robotics Lab., Control and Intelligent Processing Center of Excellence, School of ECE., Faculty of Eng., University of Tehran, Iran;Cognitive Robotics Lab., Control and Intelligent Processing Center of Excellence, School of ECE., Faculty of Eng., University of Tehran, Iran and School of Cognitive Sciences, Institute for Resear ...;Cognitive Robotics Lab., Control and Intelligent Processing Center of Excellence, School of ECE., Faculty of Eng., University of Tehran, Iran and School of Cognitive Sciences, Institute for Resear ...;Cognitive Robotics Lab., Control and Intelligent Processing Center of Excellence, School of ECE., Faculty of Eng., University of Tehran, Iran

  • Venue:
  • Robotics and Autonomous Systems
  • Year:
  • 2012

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Abstract

In this paper, we introduce a multidimensional Central Pattern Generator (CPG) model with an explicit and defined basin of attraction for generating any arbitrary continuous periodic signal. Having a defined basin of attraction is highly desired, especially in robotic applications, as it provides tracking stability in addition to robustness against disturbances. The CPG model is composed of a set of phase-locked coordinated one-dimensional models; called @z-models. The idea behind the @z-model is generating any one-dimensional periodic signal by altering the behavior of an existing oscillator through two nonlinear maps. The mappings are designed in such a way that the Poincare-Bendixson theorem is satisfied and, consequently, the desired basin of attraction is shaped. The proposed CPG model is extensively tested for generating multidimensional signals; including DC, triangular, and smooth wavy ones. The results show that the CPG model has a low tracking error in addition to being robust against disturbances within the designed basin of attraction. Finally, the proposed CPG model is successfully employed to generate the dancing motion of a situated robotic marionette.