STRUCTURED PARAMETRIC OPTIMIZATION OF MULTIVARIABLE ROBUST CONTROL BASED ON GENETIC ALGORITHMS

Authors

  • Anatoliy A. Tunik
  • Mohand Achour Touat

DOI:

https://doi.org/10.18372/2306-1472.35.1559

Abstract

 This paper is devoted to the parametric robust - optimization of the LQG- controller designed for multivariable flight control system. At the 1St stage LQG- regulator is designed using the separation theorem. At the 2nd stage this controller was parametrically optimized on the basis of  -criterion using genetic algorithm to find the trade-off between the performance and robustness. The sensitivity theory is applied to reduce the number of parameters involved in the optimization procedure.

Author Biographies

Anatoliy A. Tunik

D. E., Prof.

Mohand Achour Touat

post-graduate student, (Algeria)

References

Robust Flight Control. A Design Challenge. J.-F. Magni, S. Bernani, J. Terlouw eds. Springer, London, 1997. – 649 p.

McLean D. Automatic Flight Control Systems. – Prentice Hall Inc., Englewood Cliffs, 1990. – 593 p.

Tunik A.A., Abramovich E.A. Parametric Robust Optimization of Digital Flight Control Systems // Proc. of the National Aviation University. 2003. – № 2. – Pp.31–37.

Tunik A.A., Galaguz T.A. Robust Stabilization and Nominal Performance of the Flight Control System for Small UAV // Applied and Computational Mathematics. – 2004. – Vol. 3, № 1. – Pp. 34–45.

Srinivasan K. Control System Design Using State Space Methods // Instrumentation, Systems, Controls, and Mems. Mechanical Engineers Handbook edited by M. Kutz, the 3rd edition. John Wiley & Sons Inc., 2006. – Pp. 757–788.

Geromel G.C., De Souza C.C., Skelton R.E. Static Output Feedback Controllers: Stability and Convexity // IEEE Transactions on Automatic Control. – Vol.43, № 1, January, 1998. – Pp. 120–125.

Schoemig E., Sznaier M. Mixed H2/H Control of Multi-model Plants // Journal of Guidance, Control and Dynamics. – № 3, – May-June, 1995. – Pp. 525–531.

Houk C. R., Joine J., Kay M. A Genetic algorithm for Function Optimization: A MatLab Implementation. ACM Transaction on Mathematic Software 1996. – 14 p.

Yi-Bo Hu, Yu-Ping Wang, Fu-Ying Guo. A New Penalty based Genetic algorithm for Constrained Optimization Problems // Proc. of the Fourth International Conference on Machine Learning and Cybernetic, Guangzhou, 18-21 August 2005. – Pp. 3025–3029.

Квакернаак Х., Сиван Р. Линейные оптимальные системы управления. – М.: Мир, 1977. – 653 с.

Ackermann J. Parameter Space Design of Robust Control Systems // IEEE Transaction of Automatic Control. – Vol. AC-25, № 6, December 1980. – Pp. 1058–1072.

Doyle J.C., Glover K., Khargonekar P.P., Francis B.A. State Space Solution to Standard H2 and H-infinity Control Problems // IEEE Transaction of Automatic Control. – Vol. 34, № 8, August 1982. – Pp. 831–847.

Fleming P. J., Purshouse R. C. Genetic algorithm in control systems Engineering // Research Report №796, Department of Automatic Control and System Engineering, University of Sheffield, UK, , August 2001. – 44 p.

Aerosim Blockset, www.u-dynamics.com.

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How to Cite

Tunik, A. A., & Touat, M. A. (2008). STRUCTURED PARAMETRIC OPTIMIZATION OF MULTIVARIABLE ROBUST CONTROL BASED ON GENETIC ALGORITHMS. Proceedings of National Aviation University, 35(2), 10–17. https://doi.org/10.18372/2306-1472.35.1559

Issue

Section

AEROSPACE SYSTEMS FOR MONITORING AND CONTROL