Static output-feedback of state-multiplicative systems with application to altitude control

International Journal of Control

Volumn 77, Issue 13, 2004, Pages 1160-1170

  Gershon, E ^a   Shaked, U ^a   Yaesh, I ^b  

^a HOLON INSTITUTE OF TECHNOLOGY   (Israel)

^b IMI   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; FUNCTIONS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; STOCHASTIC CONTROL SYSTEMS;

NOISE PROCESSES; PARAMETER UNCERTAINTIES; SCHEDULING PARAMETERS; STATIC OUTPUT-FEEDBACK;

CONTROL EQUIPMENT;

EID: 9144231432     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/0020717042000280683     Document Type: Article

References (25)

1. 2/H∞ optimal static output-feedback. Proceedings of the CDC, Pittsburgh, PA, USA, pp. 2506-2511.
2. BLAKELOCK, J. H., 1999, Automatic Control of Aircraft and Missiles, 2nd edition (New York: Wiley), pp. 176-18.8.
3. BOYD, S. L., EL GHAOUI, FERON, E., and BALAKRISHNAN, V., 1994, Linear Matrix Inequality in Systems and Control Theory. SIAM Frontier Series, Philadelphia.
4. COSTA, O. L. V., and KUBRUSLY, C. S., 1996, State-feedback H∞-control for discrete-time infinite-dimensional stochastic bilinear systems. Journal of Mathematical Systems Estimation and Control, 6, 1-32.
5. CRUSIUS, C. A. R., and TROFINO, A., 1999, Sufficient LMI conditions for output-feedback control problems. IEEE Transactions on Automatic Control, 44, 1053-1057.
6. DRAGAN, V., and MOROZAN, T., 1997, Global solutions to a game-theoretic Riccati equation of stochastic control. Journal of Differential Equations, 138, 328-350.
7. DRAGAN, V., MOROZAN, T., and HALANAY, A., 1992, Optimal stability compensator for linear systems with state dependent noise. Stochastic Analysis and Applications, 10, 557-572.
8. DRAGAN, V., and STOCIA, A., 1988, A γ attenuation problem for discrete-time time-varying stochastic systems with multiplicative noise. Reprint series of the Institute of Mathematics of the Romanian Academy, 10.
9. GAHINET, P., NEMIROVSKI, A., LAUB, A., and CHILALI, M., 1995, LMI Control Toolbox, The Mathworks Inc., Natick, MA, USA.
10. GERSHON, E., LIMEBEER, D. J. N., SHARED, U., and YAESH, I., 2001a, Robust H∞ filtering of stationary continuous-time linear systems with stochastic uncertainties. IEEE Transactions on Automatic Control 46, 1788-1793.
11. GERSHON, E., SHARED, U., and YAESH, I., 2001b, H∞ control and filtering of discrete-time stochastic systems with multiplicative noise. Automatica, 37, 409-417.
12. GERSHON, E., SHARED, U., and YAESH, I., 2002, Robust H∞ estimation of stationary discrete-time linear processes with stochastic uncertainties. System and Control Letters, 45, 257-269.
13. 2 and H∞output-feedback of linear systems with stochastic uncertainties. Proceedings of the 4th IFAC symposium on Robust Control Design (ROCOND), Milan, Italy.
14. GREEN, M., and LIMEBEER, D. J. N., 1995, Linear Robust Control Englewood Cliffs, NJ: Prentice Hall.
15. ∞. SIAM Journal of Control Optimizations, 36, 1504-1538.
16. IWASAKI, T., 1999, The dual iteration for fixed-order control. IEEE Transactions on Automatic Control, 44, 783-788.
17. ∞ output-feedback controllers. SIAM Journal of control and Optimization, 39, 1711-1735.
18. LEVANON, N., 1988, Radar Principles (New York: Wiley).
19. MCLEAN, D., 1990, Automatic Flight Control Systems, (New-York: Prentice-Hall)
20. MCRUER, D., ASHKENAZI, I., and GRAHAM, D., 1973, Aircraft Dynamics and Control (Princeton, N J Prenceton University Press), Chapters 7 and 8.
21. PEAUCELLE, D., ARZELIER, D., BACHELIER, O., and BERNUSSOU, J., 2000, A new robust D-stability condition for real convex polytopic uncertainty. Systems and control Letters, 40, 21-30.
22. ∞ control design by static output-feedback. Proceedings of the IFAC Symposium on Robust Control Design. Rio de Janeiro, Brazil, 243-248.
23. ∞ static output feedback design. IEEE Transactions on Automatic Control, 48, 866-872.
24. WILLEMS, J. L., and WILLEMS, J. C., 1976, Feedback stabilizability for stochastic systems with state and control dependent noise. Automatica, 12, 277-283.
25. ∞-norm performance bound. IEEE Transactions on Automatic Control, 42, 853-858.