FEATURES OF THE MIXED SENSITIVITY H-OPTIMIZATION FOR THE TWO-DEGREE-OF-FREEDOM CONTROLLER

Authors

  • Olga Sushchenko National Aviation University
  • Irina Chaplay National Aviation University

DOI:

https://doi.org/10.18372/2306-1472.51.2154

Keywords:

disturbances, generalized system, H-optimization, method of mixed sensitivity, stabilization system, two-degree-of-freedom controller

Abstract

 The paper is devoted to the actual issue of the robust two-degree-of-freedom controller design. The statement of the problem for the robust optimization of the two-degree-of-freedom controller by the method of mixed sensitivity is represented. The expression for the cost function of the mixed sensitivity method for the system with the two-degree-of-freedom controller, taking into consideration the influence of disturbances, is obtained. The components of the generalized system with the two-degree-of-freedom controller and principles of the weighting transfer functions introduction are defined. The transformation of the formulated problem to the - optimization which may be implemented by the MATLAB software is carried out.

References

Zames, G. 1981. Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximate inverses. – IEEE Transactions on Automatic Control. N 2. Vol. 26: 301–320.

Skogestad, S.; Postlethwaite, I. 1997. Multivariable Feedback Control. – New York. Jonh Wiley. 559 p.

Gu, D.; Petkov, P.; Konstantinov, M. 2005. Robust Control Design with MATLAB. – London. Springer-Verlag. 389 p.

Перельмутер, В.М. Пакеты расширения Matlab Control System и Robust Control Toolbox. – Москва: СОЛОН-ПРЕСС, 2008. – 224 с.[Perelmuter, V.M. 2008. Matlab Control System and Robust Control Toolboxes. Moskow. SOLON-PRESS. 224 p.] (in Russian).

Егупов, И.П. Методы робастного, нейро-нечеткого и адаптивного управления. – М.: МГТУ им. Н.Э.Баумана, 2002. – 744 с.[Egupov, I.P. 2002. Methods for Robust, Neuro-Fuzzy and Adaptive Control. Moscow. MSTU named after N.E. Bauman. 744 p.] (in Russian).

Поляк, Б.Т.; Щербаков, П.С. Робастная устойчивость и управление. – Москва: Наука, 2002. – 303 с.[Polyak, B.T.; Shcherbakov, P.S. 2002. Robust Stability and Control. Moscow. Nauka. 303 p.] (in Russian).

Glover, K.; Doyle, J. 1988. State Space Formulae for all Stabilizing Controllers that satisfy an -norm Bound and Relations to Risk Sensitivity. Systems and Control Letters. N 11: 168–172.

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How to Cite

Sushchenko, O., & Chaplay, I. (2012). FEATURES OF THE MIXED SENSITIVITY H-OPTIMIZATION FOR THE TWO-DEGREE-OF-FREEDOM CONTROLLER. Advances in Aerospace Technology, 51(2), 35–41. https://doi.org/10.18372/2306-1472.51.2154

Issue

Section

AEROSPACE SYSTEMS FOR MONITORING AND CONTROL