Fractional order dynamics in a GA planner

  • Authors:
  • E. J. Solteiro Pires;J. A. Tenreiro Machado;P. B. de Moura Oliveira

  • Affiliations:
  • Univ. Trás-os-Montes e Alto Douro, Dep. de Engenharia Electrotécnica Vila Real 5000-911, Portugal;Instituto Superior de Engenharia do Porto, Dep. de Engenharia Electrotécnica Rua Dr. António Bernadino de Almeida Porto 4200-072, Portugal;Univ. Trás-os-Montes e Alto Douro, Dep. de Engenharia Electrotécnica Vila Real 5000-911, Portugal

  • Venue:
  • Signal Processing - Special issue: Fractional signal processing and applications
  • Year:
  • 2003

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Abstract

This work addresses the signal propagation and the fractional-order dynamics during, the evolution of a genetic algorithm (GA), for generating a robot manipulator trajectory. The GA objective is to minimize the trajectory space/time ripple without exceeding the torque requirements. In order to investigate the phenomena involved in the GA population evolution, the mutation is exposed to excitation perturbations and the corresponding fitness variations are evaluated. The chaos-like noise and the input/output signals are studied revealing a fractional-order dynamics, characteristic of a long-term system memory.