A mixed sensitivity optimization design for a benchmark control problem

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Abstract

This paper explores a numerical approach of a mixed H2 sensitivity optimization technique to re-design a robust controller for the Grumman F-14 aircraft, one of the IEEE Control Systems Society's benchmark control problems. By operating in the Discrete Fourier Transform (DFT) domain, we convert the H2 control problem into a constrained vector minimization problem in the l2-space. A two-stage solution approach is detailed and the controller is then constructed. The advantage of using the proposed method is that the l2-space solution can be analytically expressed and efficiently calculated via existing multichannel algorithms due to the partially block circular structure of the matrices involved in the DFT domain. The approximation can be made arbitrarily close to the original H2 control problem if the number of the DFT points is large. The simulation results are presented to demonstrate the proposed method.

Original languageEnglish (US)
Title of host publicationProceedings of the 2010 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
Pages738-743
Number of pages6
DOIs
StatePublished - Sep 1 2010
Externally publishedYes
Event5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010 - Taichung, Taiwan, Province of China
Duration: Jun 15 2010Jun 17 2010

Publication series

NameProceedings of the 2010 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010

Other

Other5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
CountryTaiwan, Province of China
CityTaichung
Period6/15/106/17/10

Keywords

  • Discrete Fourier Transform
  • L -normed vector minimization
  • Markov parameters
  • Mixed H sensitivity minimization
  • Robust control

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