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Linear Quadratic Regulation of a Rotating Shaft Being Subject to Gyroscopic Effect Using a Genetic Optimization Algorithm

  • Rudolf Sebastian Schittenhelm
  • Matthias Borsdorf
  • Zhentao Wang
  • Stephan Rinderknecht
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 247)

Abstract

A Linear Quadratic Regulator and a Kalman Filter are designed for a rotor test rig being subject to unbalance excitation and gyroscopic effect. Rotor vibration is controlled by means of two piezoelectric stack actuators installed at one of the two supports of the rotor. The presence of gyroscopic effect leads to an undesirable dependence of the system dynamics on rotational frequency of the shaft. As a result, there is a need for high robustness and furthermore, the separation principle does not hold. Due to the latter aspect, controller and observer design become a coupled problem in the case of the rig. In a first step, the number of free design parameters of the controller-observer combination is reduced to a manageable number of 5. Subsequently, these parameters are determined by means of a genetic optimization algorithm on the basis of a Finite Element model of the test rig. It is shown, that it is possible in this way to determine a controller-observer combination leading to robust stability and excellent performance in the whole operating range which contains two unbalance induced resonances. Control performance is validated in simulation as well as experiments at the test rig.

Keywords

Active vibration control Genetic optimization algorithm Gyroscopic effect Kalman filter Linear quadratic regulator Piezoelectric actuator Rotor vibration 

Notes

Acknowledgments

This work is based on a research project in partnership with Rolls-Royce Deutschland Ltd & Co KG and was supported by Deutsche Forschungsgemeinschaft within the framework of the graduate college 1344, ``Instationäre Systemmodellierung von Flugtriebwerken”.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Rudolf Sebastian Schittenhelm
    • 1
  • Matthias Borsdorf
    • 1
  • Zhentao Wang
    • 1
  • Stephan Rinderknecht
    • 1
  1. 1.Institute for Mechatronic Systems in Mechanical EngineeringDarmstadtGermany

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