• Title/Summary/Keyword: J-spectral factorization

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Mixed $H_2/H_{\infty}$ Controller Realization with Entropy Integral

  • Lee, Sang-Hyuk;Kim, Ju-Sik
    • International Journal of Control, Automation, and Systems
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    • v.1 no.2
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    • pp.206-209
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    • 2003
  • An $H_2$/$H_{\infty}$ -controller realization is carried out by considering an entropy integral. Using J-spectral factorization, the parametrizations of all $H_{\infty}$ stabilizing controllers are derived. By the relation of a mixed $H_2$/$H_{\infty}$ control problem and a minimum entropy/$H_{\infty}$ control problem, the mixed $H_2$/$H_{\infty}$-controller state-space realization is presented.

The $H_{\infty}$ control of the uncertainty for the hydraulic fluid valve-motor system (유압 밸브-모터 시스템의 불확실성에 대한 $H_{\infty}$ 제어)

  • Kim, D.S.;Lee, J.H.;Yoo, S.H.;Lee, C.W.
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.676-681
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    • 2000
  • This study describes a hydraulic fluid property compensator under the various operating conditions. Because hydraulic fluid systems have much more excellent features than other control systems, they are used in many fields. However, the characteristics of hydraulic fluid are changed due to various operating conditions. This phenomenon is called uncertainty. Especially, bulk modulus is considered as the most dominant parameter in this study. Under the wide range of temperature and pressure, bulk modulus is changed. In order to overcome the uncertainty, $H_{\infty}$ technique will be used for this study. Spectral factorization, model-matching problem and controller parametrization are also applied to achieve the desired robust control action. Designed controller using the $H_{\infty}$ technique, is adopted for the hydraulic fluid valve-motor system.

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