Design of optimal autonomous switching circuits to suppress mechanical vibration

  • Authors:

  • Dominik Niederberger

  • Affiliations:

  • Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH), Zürich, Switzerland

  • Venue:
  • HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
  • Year:
  • 2005

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Abstract

This paper demonstrates the use of a hybrid system approach to design optimal controllers for smart damping materials. Recently, controllers have been used to switch piezoelectric materials for mechanical vibration suppression. These controllers allow a small implementation and require little or no power. However, the control laws to switch these circuits are derived heuristically and it remains unclear, if better control laws exist. We present a new control approach based on a hybrid system framework. This allows to derive optimal switching laws by solving a receding horizon optimal control problem with multi-parametric programming. Additionally, we show how to implement the optimal switching laws with analog electronic circuitry such that the resulting damping circuits do not require power for operation. Simulations show the improvement of the damping compared with heuristically derived circuits and experiments demonstrate that the autonomous damping circuits can suppress vibration without requiring additional power.