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Eigenstructure Assignment Considering Probability of Instability with Flight Control Application  

Seo, Young-Bong (School of Mechanical Engineering and Research Institute of Mechanical Technology, Pusan National University)
Choi, Jae-Weon (School of Mechanical Engineering and Research Institute of Mechanical Technology, Pusan National University)
Publication Information
International Journal of Control, Automation, and Systems / v.5, no.6, 2007 , pp. 607-613 More about this Journal
Abstract
Eigenstructure assignment provides the advantage of allowing great flexibility in shaping the closed-loop system responses by allowing specification of closed-loop eigenvalues and corresponding eigenvectors. But, the general eigenstructure assignment methodologies cannot guarantee stability robustness to parameter variations of a system. In this paper, we present a novel method that has the capability of exact assignment of an eigenstructure which can consider the probability of instability for LTI (Linear Time-Invariant) systems. The probability of instability of an LTI system is determined by the probability distributions of the closed-loop eigenvalues. The stability region for the system is made probabilistically based upon the Monte Carlo evaluations. The proposed control design method is applied to design a flight control system with probabilistic parameter variations to confirm the usefulness of the method.
Keywords
Eigenstructure assignment; flight control; monte carlo evaluation; probability distribution; probability of instability;
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Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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1 I. Horowitz, 'Quantitative feedback theory,' IEE Proc., vol. 129, pt. D, no. 6, pp. 215-226, November 1982
2 L. R. Ray 'Robust linear-optimal control laws for active suspension systems,' Journal of Dynamic Systems, Measurement, and Control, vol. 114, pp. 592-597, 1992   DOI
3 K. M. Sobel and E. Y. Shapiro, 'A design methodology for pitch pointing flight control systems,' Journal of Guidance, Control and Dynamics, vol. 8, no. 2, pp. 181-187, 1985   DOI   ScienceOn
4 N. A. Lethomaki, N. R. Sandell, and M. Athans, 'Robustness results in linear quadratic gaussian based multivariable control designs,' IEEE Trans. on Automatic Control, vol. AC-26, no. 1, pp. 75-92, 1981
5 M. Tahk and J. L. Speyer, 'Modelling of parameter variations and asymptotic lqg synthesis,' IEEE Trans. on Automatic Control, vol. 32, no. 9, pp. 793-801, September 1987   DOI
6 J. W. Choi, 'A simultaneous assignment methodology of right/left eigenstructures,' IEEE Trans. on Aerospace and Electronic Systems, vol. 34, no. 2, pp. 625-634, 1998   DOI   ScienceOn
7 K. M. Sobel and F. J. Lallman, 'Eigenstructure assignment for the control of highly augmented aircraft,' Journal of Guidance, Control and Dynamics, vol. 12, no. 3, pp. 318-324, 1989   DOI   ScienceOn
8 R. F. Stengel, 'Some effects of parameter variations on the lateral-directional stability of aircraft,' Journal of Guidance, Control and Dynamics, vol. 3, no. 2, pp. 124-131, April 1980   DOI
9 R. K. Yedavalli and Z. Liang, 'Reduced conservatism in stability robustness bounds by state transformation,' IEEE Trans. on Automatic Control, vol. 31, no. 9, pp. 863-866, September 1986   DOI
10 C. F. Lin, Advanced Control Systems Design, Prentice Hall, Inc., Englewood Cliffs, NJ, 1994
11 R. F. Stengel and L. R. Ray, 'Stochastic robustness of linear time-invariant control systems,' IEEE Trans. on Automatic Control, vol. 36, no. 1, pp. 82-87, 1991   DOI   ScienceOn
12 K. M. Sobel, E. Y. Shapiro, and A. N. Andry, 'Eigenstructure assignment,' International Journal of Control, vol. 59, no. 1, pp. 13-37, 1994   DOI   ScienceOn
13 G. Li, 'On pole and zero sensitivity of linear systems,' IEEE Trans. on Circuits and Systems, vol. 44, no. 7, pp. 583-590, July 1997   DOI   ScienceOn
14 J. C. Doyle, 'Analysis of feedback systems with structured uncertainties,' IEE Proc., vol. 129, pt. D, no. 6, pp. 242-250, November 1982
15 R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1985
16 N. R. Jr. Sandell, 'Recent developments in the robustness theory of multivariable systems,' Office of Naval Research, Rep. no. ONRCR215-271-1F, August 1979
17 J. W. Choi, J. G. Lee, Y. Kim, and T. Kang, 'Design of an effective controller via disturbance accommodating left eigenstructure assignment,' Journal of Guidance, Control, and Dynamics, vol. 18, no. 2, pp. 347-354, 1995   DOI   ScienceOn
18 S. Garg, 'Robust eigenspace assignment using singular value sensitivities,' Journal of Guidance, Control, and Dynamics, vol. 14, no. 2, pp. 416-424, 1991   DOI
19 W. M. Schubert and R. F. Stengel, 'Parallel stochastic robustness synthesis for control system design,' Proc. of the American Control Conference, Seattle, Washington, pp. 4429-4434, June 1995