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ENERGY HARVESTING FROM A ROTATING PARAMETRIC PENDULUM: SINGULAR OPTIMAL CONTROL
  • +2
  • Andres Garcia,
  • Andrés García,
  • Exequiel Leonhardt,
  • Franco Dotti,
  • Carlos Vera
Andres Garcia

Corresponding Author:[email protected]

Author Profile
Andrés García
Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca (GIMAP)
Exequiel Leonhardt
Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca (GIMAP)
Franco Dotti
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca (GIMAP)
Carlos Vera
Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca (GIMAP)

Abstract

Sea waves represents a very promising energy source. Pioneered by Wiercigroch a pendulum system would be feasible for such an energy harvesting purpose. These devices consist of a pendulum with a vertical motion induced by the sea waves. As it is well known, pendulum's stable rotations generate enough energy able to be extracted by an electrical generator attached to its axis. In this paper, using a brushless dc motor as an input torque u(t) to maintain stable pendulum rotations, a singular optimal control formalism provides a very simple control law using a mechanical model.
Besides the main objective in this paper: stable controlled rotations, in order to control every motion possibility: rotation, stability or even chaos, a singular optimal control policy is defined
A salient property of the the resulting control law lies on its very simple hardware  implementation bang-bang control: only sign is needed using Arduino and operational amplifiers (see Figure 1). While Matlab/Simulink simulations will be presented, the possibility of being tuned for stable/unstable rotations or even asymptotic stability is also an interesting analysis. Conclusions and future work are also depicted.