H2/H∞ OPTIMIZATION OF INERTIALLY STABILIZIED PLATFORMS

Authors

  • O. A. Sushchenko National Aviation University
  • O. V. Shirokii National Aviation University

DOI:

https://doi.org/10.18372/1990-5548.47.10269

Keywords:

H2/H∞-approach, parametrical synthesis, robust systems, vector optimization, genetic algorithm

Abstract

The paper deals with H2/H∞-approach to design of the inertially stabilized platforms operatedat vehicles of the different types including unmanned aerial ones. The formulation of the vectoroptimization problem is represented. The robust optimization algorithm and results of the synthesiedsystem simulation are shown. Comparative analysis of the results of the parametrical optimization usingthe Nelder-Mead method and genetic algorithm are given. Proposed approach ensures functioning of theinertially stabilized platforms in the difficult conditions of real operation

Author Biographies

O. A. Sushchenko, National Aviation University

Doctor of engineering. The associate professor. The Aircraft Control Systems Department

O. V. Shirokii, National Aviation University

Bachelor. The Aircraft Control Systems Department

References

J. M. Hilkert, “Inertially stabilized platform technology”. IEEE Control Systems Magazine, vol. 26, no. 1, 2008, pp. 26–46.

M. K. Masten, “Inertially Stabilized Platforms for Optical Systems”, IEEE Control Systems Magazine, vol. 26, no. 1, 2008, pp. 47–64.

I. P. Egupov, Methods of Robust, Neuro-Fuzzy and Adaptive Control. Moscow: MSTU named after N.E. Bauman, 2002 (in Russian).

S. Skogestad, I. Postlethwaite, Multivariable Feedback Control, New York: Jonh Wiley, 1997.

A. A. Tunik, H. Ruy, and H. C. Lee, “Parametric optimization procedure for robust flight control system design”, KSAS International Journal, 2001, vol. 2, no. 2, pp. 95–107.

H. Kwakernaak. “Robust control and H∞-optimization”, Automatica, 1993, vol. 29, no. 2, pp. 255–273.

A. A. Tunik, and O. A. Sushchenko, “Usage of vector parametric optimization for robust stabilization of ground vehicles informationmeasuring devices”, Proceedings of the National Aviation University, 2013, no. 4, pp. 23–32.

O. A. Sushchenko, “Robust parametric optimization of stabilization systems for ground vehicles”, Proceedings of the National Aviation University, 2008, no. 4, pp. 23–29 (in Ukrainian).

D. McLean, Automatic Flight Control Systems, New-York: Prentice Hall, 1990.

V V. A. Besekersky, and E. P. Popov, Theory of Automatic Control Systems. Moscow, Nauka Publ., 2004, 747 p. (in Russian).

A. H. Wright, “Genetic algorithms for real parameter optimization”, Foundations of Genetic Algorithms, 1991, pp. 205–218.

D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Boston: Addison Wesley, 1989.

R. L. Haupt, and S. E. Haupt, Practical Genetic Algorithms, New York: Wiley, 2004.

J. A. Nelder, R. A. Mead, “Simplex method for function minimization”, Computer J., 1964, no. 7, pp. 308–313.

L. A. Gladkov, V. V. Kureychik, and V. M. Kureychik, Genetic algorithms, Moscow: Fizmatlit, 2006. (in Russian)

B. De Schutter, “Minimal state-space realization in linear system theory”, Journal of Computational and Applied Mathematics, 2000, vol. 121, no. 1–2, pp. 331–354.

D. V. Balandin, and M. M. Kogan, “Synthesis of optimal linear-quadratic control laws based on linear matrix inequalities”, Automation and Remote Control, 2007, no. 3, pp. 3–18 (in Russian).

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AUTOMATIC CONTROL SYSTEMS