Research on Robust Stability Analysis and Worst Case Identification Methods for Parameters Uncertain Missiles

Title & Authors
Research on Robust Stability Analysis and Worst Case Identification Methods for Parameters Uncertain Missiles
Hou, Zhenqian; Liang, Xiaogeng; Wang, Wenzheng;

Abstract
For robust stability analysis of parameters uncertainty missiles, the traditional frequency domain method can only analyze each respective channel at several interval points within uncertain parameter space. Discontinuous calculation and couplings between channels will lead to inaccurate analysis results. A method based on the $\small{{\nu}}$-gap metric is proposed, which is able to comprehensively evaluate the robust stability of missiles with uncertain parameters; and then a genetic-simulated annealing hybrid optimization algorithm, which has global and local searching ability, is used to search for a parameters combination that leads to the worst stability within the space of uncertain parameters. Finally, the proposed method is used to analyze the robust stability of a re-entry missile with uncertain parameters; the results verify the feasibility and accuracy of the method.
Keywords
parameter uncertainty;robust stability;$\small{{\nu}}$-gap metric;hybrid optimization;
Language
English
Cited by
References
1.
El-Sakkary, "The gap metric: Robustness of stabilization of feedback systems", IEEE Transactions on Automatic Control, Vol.30, issue 3, 1985, pp. 240-247.

2.
Georgiou, T.T., A., "On the computation of the gap metric", Systems Control Letters, Vol. 11, issue 4, 1988, pp. 253-257.

3.
Georgiou, T.T. and M, smith, "Optimal robustness in the gap metric", IEEE Transactions on Automatic Control, Vol. 35, issue 6,1990, pp. 673-686.

4.
G. Vinnicombe, Measuring Robustness of Feedback Systems, PhD Dissertation, Department of Engineering, University of Cambridge, London, 1993.

5.
L. Qiu, and E.J. Davison, "Feedback stability under simultaneous gap metric uncertainties in plant and controller", Systems Control Letters, Vol. 18, issue 1, 1992, pp. 9-22.

6.
K. Glover, G. Vinnicombe, and G. Papageorgiou, "Guaranteed multi- loop stability margins and the gap metric", Proceedings of 39th IEEE Conference on Decision and Control, Sydney , Australia, 2000.

7.
Pengfei Guo, Xuezhi Wang, and Yingshi Han, "The Enhanced Genetic Algorithms for the Optimization Design", 2010 3rd International Conference on Biomedical Engineering and Informatics, Yantai, China, 2010.

8.
Kyriaki Gkoutioudi, and Helen D. Karatza, A simulation study of multi-criteria scheduling in grid based on genetic algorithms. 2012 10th IEEE International Symposium on Parallel and Distributed Processing with Applications, 2012. DOI: 10.1109/ISPA.2012.48

9.
A. V. Kalashnikov, and V. A. Kostenko, "A Parallel Algorithm of Simulated Annealing for Multiprocessor Scheduling", Journal of Computer and Systems Sciences International, Vol. 47, No. 3, 2008, pp. 455-463.

10.
A. P. Cisilino, and B. Sensale, "Application of a simulated annealing algorithm in the optimal placement of the source points in the method of the fundamental solutions", Computational Mechanics, Vol. 28, issue 2, 2002, pp.129-136.

11.
Christopher Fielding, Andras Varga, Samir Bennani et al, Advanced Techniques for Clearance of Flight Control Laws, Springer, Berlin, 2002.

12.
G. Vinnicombe, Uncertainty and Feedback: H-infinity loop-shaping and the nu-gap metric, Imperial College Press, London, 2000.