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Tip tracking control of a micro-cantilever Timoshenko beam via piezoelectric actuator

Shirazi, M. J ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1177/1077546312447837
  3. Publisher: 2013
  4. Abstract:
  5. In this paper, the tip tracking control problem of a Timoshenko micro-cantilever beam is investigated. The beam is actuated by a piezoelectric layer laminated on one side of the beam. Dynamic equations of the beam and piezoelectric layer are found using the Hamilton principle. By employing the Galerkin projection method, state space representation of the system is derived. Then, a cascade control loop is used for tracking control of the beam's tip. The cascade control structure consists of an inner loop stabilizer and an outer loop proportional-integral-derivative controller. The stabilizer has a linear feedback form whose states are obtained through a linear observer which is based on the beam tip displacement measurement. Stability analysis of the inner loop stabilizer is performed to study the effects of higher un-controlled modes on performance of the controlled system. Simulation results show the effectiveness of the proposed control method
  6. Keywords:
  7. Control ; Piezoelectric actuator ; Timoshenko beam ; Tip tracking ; Cascade control structure ; Galerkin projections ; Microcantilever beams ; Piezoelectric layers ; Proportional integral derivative controllers ; State space representation ; Tracking control problem ; Cascade control systems ; Navigation ; Particle beams ; Piezoelectricity ; State space methods ; Piezoelectric actuators
  8. Source: JVC/Journal of Vibration and Control ; Volume 19, Issue 10 , 2013 , Pages 1561-1574 ; 10775463 (ISSN)
  9. URL: http://jvc.sagepub.com/content/19/10/1561