Output feedback controllers for systems with structured uncertainty

IEEE Transactions on Automatic Control

Volumn 42, Issue 5, 1997, Pages 715-719

  Jabbari, Faryar ^a  

^a University of California at Irvine   (United States)

Author keywords

Output feedback; Robust control; Structured uncertainty

Indexed keywords

FEEDBACK CONTROL; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; VECTORS;

LYAPUNOV FUNCTIONS; OUTPUT FEEDBACK; STRUCTURED UNCERTAINTY;

CONTROL SYSTEM SYNTHESIS;

EID: 0031139950     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.580887     Document Type: Article

References (19)

1. M. A. Rotea, M. Corless, D. Da, and I. R. Petersen, "Systems with structured uncertainty: Relations between quadratic and robust stability," IEEE Trans. Automat. Contr., vol. 38, no. 5, pp. 799-803, 1993.
2. ∞ control theory," IEEE Trans. Automat. Contr., vol. 35, pp. 356-361, 1990.
3. ∞ optimization," Int. J. Adaptive Contr. Sgnal Processing, vol. 2, pp. 347-369, 1988.
4. ∞ control for systems with norm bounded uncertainties in all system matrices," IEEE Trans. Automat. Contr., vol. 39, no. 6, pp. 1320-1322, 1994.
5. F. Jabbari and W. E. Schmitendorf, "Effects of using observers on stabilization of uncertain linear system," IEEE Trans. Automat. Contr., vol. 38, pp. 265-271, 1993.
6. A. Packard, K. Zhou, P. Pandey, and G. Becker, "A collection of robust control problems leading to lmis," in Proc. 30th Conf. Decision Contr., Dec. 1991, pp. 1245-1250.
7. ∞ control and quadratic stabilization of systems with parametric uncertainty via output feedback," IEEE Trans. Automat. Contr., vol. 37, no. 8, pp. 1253-1255, 1992.
8. K. Zhou, P. P. Khargonekar, J. Stoustrup, and H. N. Niemann, "Robust stability and performance of uncertain systems in state space," Automatica, vol. 31, no. 2, pp. 249-255, 1995.
9. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia: SIAM, 1994.
10. ∞ control problem: LMI existence conditions and state space formulas," Automatica, vol. 30, no. 8, pp. 1307-1317, 1994.
11. ∞ control," Int. J. Robust Nonlinear Contr., vol. 4, pp. 421-148, 1994.
12. P. Apkarian, P. Gahinet, and G. Becker, "Self-scheduled H∞ control of linear parameter varying systems: A design example," Automatica, vol. 31, no. 9, pp. 1251-1261, 1995.
13. ∞ design with pole placement constraint: An LMI approach," IEEE Trans. Automat. Contr., 1996.
14. I. Masubuchi, A. Ohara, and N. Suda, "LMI-based output feedback controller design," in Proc. Automat. Contr. Conf., 1995, pp. 3474-3477.
15. K. C. Gu et al., "Biafine matrix inequality properties and computational methods," in Proc. Automat. Contr. Conf., Baltimore, MD, 1994, pp. 850-855.
16. F. Jabbari and R. W. Benson, "Robust stabilization and disturbance attenuation: High gain controllers," in Proc. Automat. Contr. Conf., Baltimore, MD, June 1994, pp. 1411-1412.
17. B. M. Scherzinger and E. J. Davison, "The optimal LQ regulator with cheap control for not strictly proper systems," Optimal Contr. Appl. Methods, vol. 6, pp. 291-303, 1995.
18. W. E. Schmitendorf, "A design methodology for robust stabilizing controllers," AIAA J. Guidance, Contr. Dynamics, vol. 10, no. 2, 1987.
19. P. Gahinet, Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox. The Math Works Inc., 1995.