Remarks on strong stabilization and stable H∞ controller design

IEEE Transactions on Automatic Control

Volumn 50, Issue 12, 2005, Pages 2083-2087

  Gümüşsoy, Suat ^a,b   Özbay, Hitay ^a,c  

^a Ohio State University   (United States)

^b MIKES Inc   (Turkey)

^c BILKENT UNIVERSITY   (Turkey)

Author keywords

Linear matrix inequality (LMI); Stable H controller design; Strong stabilization

Indexed keywords

CONTROL SYSTEM SYNTHESIS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OPTIMIZATION; STATE SPACE METHODS; SYSTEM STABILITY; THEOREM PROVING;

LINEAR FRACTIONAL TRANSFORMATIONS; LINEAR MATRIX INEQUALITY (LMI); STRONG STABILIZATION;

OPTIMAL CONTROL SYSTEMS;

EID: 30344486239     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.860271     Document Type: Article

References (20)

1. M. Vidyasagar, Control System Synthesis: A Factorization Approach. Cambridge, MA: MIT Press, 1985.
2. ∞ controller design," in Proc. Amer. Control Conf., 1997, pp. 1302-1306.
3. D. C. Youla, J. J. Bongiorno, and C. N. Lu, "Single-loop feedback stabilization of linear multivariable dynamical plants," Automatica, vol. 10, pp. 159-173, 1974.
4. A. Sideris and M. G. Safonov, "Infinity-norm optimization with a stable controller," in Proc. Amer. Control Conf., 1985, pp. 804-805.
5. ∞ optimal stable controller," in Proc. Conf. Decision and Control, 1996, pp. 734-738.
6. M. Jacobus, M. Jamshidi, C. Abdullah, P. Dorato, and D. Bernstein, "Suboptimal strong stabilization using fixed-order dynamic compensation," in Proc. Amer. Control Conf., 1990, pp. 2659-2660.
7. ∞ weighted sensitivity," IEEE Trans. Autom. Control, vol. 38, no. 3, pp. 485-488, Mar. 1993.
8. C. Ganesh and J. B. Pearson, "Design of optimal control systems with stable feedback," in Proc. Amer. Control Conf., 1986, pp. 1969-1973.
9. ∞ optimization," Syst. Control Lett., vol. 32, pp. 111-120, 1997.
10. ∞ controllers," IEEE Trans. Autom. Control, vol. 44, no. 2, pp. 431-435, Feb. 1999.
11. ∞ -controller design problems for MIMO systems," Automatica, vol. 36, pp. 1675-1684, 2000.
12. ∞ strong stabilization," IEEE Trans. Autom. Control, vol. 46, no. 12, pp. 1968-1972, Dec. 2001.
13. ∞ controller parameterization under sufficient condition," IEEE Trans. Autom. Control, vol. 46, no. 10, pp. 1618-1623, Oct. 2001.
14. ∞ strong-stabilization problems," in Proc. Conf. Decision and Control, 2003, pp. 5155-5160.
15. ∞ controller via the chain scattering framework," Syst. Control Lett., vol. 46, pp. 1968-1972, 2002.
16. ∞ controllers for time-delay systems," in Proc. 16th Mathematical Theory of Network and Systems, Leuven, Belgium, Jul. 2004.
17. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Toolbox. Natick, MA: The Mathworks, Inc., 1995.
18. ∞ control problems," IEEE Trans. Autom. Control, vol. 46, no. 8, pp. 1968-1972, Aug. 1989.
19. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Upper Saddle River, NJ: Prentice-Hall, 1996.
20. 2 strong stabilizaiton," Automatica, vol. 39, no. 7, pp. 1205-1211, 2003.