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Microsystem Technologies

, Volume 19, Issue 9–10, pp 1407–1413 | Cite as

Probabilistic analytic center cutting plane method in robust \({\mathcal{H}}_2\) track following control

  • Mohammadreza Chamanbaz
  • Venkatakrishnan Venkataramanan
  • Qing-Guo Wang
Technical Paper
  • 116 Downloads

Abstract

The present paper addresses the design of discrete time robust \({\mathcal{H}}_2\) track following dynamic output feedback controller for hard disk drives where uncertain parameters enter in a non-linear fashion into plant description. Uncertain parameters are considered as random variables with uniform distribution. The controller is designed to meet the performance specification with desired probabilistic levels (accuracy and confidence). The design is benefited from convex optimization in design parameter space and randomization in the uncertainty space. A localization method based on analytic center cutting plane algorithm is employed in order to find the probabilistic robust feasible solution. As a result of randomization, the computational complexity of the algorithm does not depend on the number of uncertain parameters and no conservatism is introduced while handling uncertain parameters. The effectiveness of the designed controller is verified through simulation as well as experiment.

Keywords

Linear Matrix Inequality Uncertain Parameter Hard Disk Drive Voice Coil Motor Transfer Function Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

We would like to express our gratitude to Prof. Roberto Tempo and Dr. Fabrizio Dabbene for their constructive comments which led to improvement of the paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Mohammadreza Chamanbaz
    • 1
    • 2
  • Venkatakrishnan Venkataramanan
    • 1
  • Qing-Guo Wang
    • 2
  1. 1.Data Storage InstituteSingaporeSingapore
  2. 2.National University of SingaporeSingaporeSingapore

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