Static H2 and H∞ output-feedback of discrete-time LTI systems with state multiplicative noise

Systems and Control Letters

Volumn 55, Issue 3, 2006, Pages 232-239

  Gershon, E ^a   Shaked, U ^b  

^a HOLON INSTITUTE OF TECHNOLOGY   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Polytopic uncertainty; Static output feedback; Stochastic H control

Indexed keywords

FEEDBACK; LINEAR SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; STOCHASTIC CONTROL SYSTEMS;

POLYTOPIC UNCERTAINTY; STATIC OUTPUT-FEEDBACK; STOCHASTIC H∞ CONTROL; STOCHASTIC PARAMETERS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 30844449664     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.07.010     Document Type: Article

References (24)

1. ∞ optimal static output feedback Proceedings of the CDC Pittsburgh, PA 1989 2506 2511
2. ∞ control with state-dependent noise IEEE Trans. Automat. Control 49 1 2004 45 57
3. ∞-control for discrete-time infinite-dimensional stochastic bilinear systems J. Math. Systems, Estimation Control 6 1996 1 32
4. C.A.R. Crusius, and A. Trofino Sufficient LMI conditions for output feedback control problems IEEE Trans. Automat. Control 44 1999 1053 1057
5. M.C. De Oliviera, J. Bernussou, and J.C. Geromel A new discrete-time robust stability condition Systems Control Lett. 37 1999 261 265
6. V. Dragan, A. Halanay, and A. Stoica A small gain theorem for linear stochastic system Systems Control Lett. 30 1997 243 251
7. V. Dragan, T. Morozan, and A. Halanay Optimal stabilizing compensator for linear systems with state-dependent noise Stochastic Anal. Appl. 10 1992 557 572
8. V. Dragan, and A. Stoica A γ attenuation problem for discrete-time-varying stochastic systems with multiplicative noise Reprint Ser. Inst. Math. Romanian Acad. 10 1998
9. ∞ type control for discrete-time stochastic systems Internat. J. Robust Nonlinear Control 9 1999 923 948
10. L. El Ghaoui State-feedback control of systems with multiplicative noise via linear matrix inequalities Systems Control Lett. 24 1995 223 228
11. ∞ filtering of stationary continuous-time linear systems with stochastic uncertainties IEEE Trans. Automat. Control 46 11 2001 1788 1793
12. ∞ control and filtering of discrete-time stochastic systems with multiplicative noise Automatica 37 2001 409 417
13. ∞ filtering of stationary discrete-time linear systems with stochastic parameter uncertainties Systems Control Lett. 45 2002 257 269
14. ∞ tracking with preview for state-multiplicative systems IEEE Trans. Automat. Control 49 11 2004 2061 2066
15. ∞tracking of linear continuous-time systems with stochastic uncertainties and preview Internat. J. Robust Nonlinear Control 14 2004 607 626
16. M. Green, and D.J.N. Limebeer Linear Robust Control 1995 Prentice-Hall NJ
17. ∞ SIAM J. Control Optim. 36 5 1998 1504 1538
18. T. Iwasaki The dual iteration for fixed-order control IEEE Trans. Automat. Control 44 1999 783 788
19. ∞ output feedback controllers SIAM J. Control Optim. 39 2001 1711 1735
20. ∞ control design by static output-feedback Proceedings of the IFAC Symposium on Robust Control Design Rio de Janeiro, Brasil 1994 243 248
21. ∞ static output-feedback design IEEE Trans. Automat. Control 48 2003 866 872
22. ∞ control in the presence of stochastic uncertainty Internat. J. Control 71 1998 219 237
23. J.L. Willems, and J.C. Willems Feedback stabilizability for stochastic systems with state and control dependent noise Automatica 12 1976 277 283
24. ∞-norm performance bound IEEE Trans. Automat. Control 42 1997 853 858