Robust and non-fragile H∞ control for descriptor systems with parameter uncertainties and time delay

International Journal of Control, Automation and Systems

Volumn 5, Issue 1, 2007, Pages 8-14

  Kim, Jong Hae ^a   Oh, Do Chang ^b  

^a SunMoon University   (South Korea)

^b Konyang University   (South Korea)

Author keywords

LMI; Non fragile control; Parameter uncertainty; Singular systems; Time delay

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; OPTIMIZATION; PARAMETER ESTIMATION; SYSTEMS ANALYSIS; UNCERTAIN SYSTEMS;

DESCRIPTOR SYSTEMS; DISTURBANCE ATTENUATION; NON FRAGILE CONTROL; PARAMETER UNCERTAINTIES; SINGULAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 33846696445     PISSN: 15986446     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. ∞, control for descriptor systems: A matrix inequalities approach," Automatica, vol. 33, pp. 669-673, 1997.
2. K. Takaba, N. Morihara, and T. Katayama, "A generalized Lyapunov theorem for descriptor system," System and Control Letters, vol. 24, pp. 49-51, 1995.
3. L. H. Keel and S. P. Bhattacharyya, "Robust, fragile, or optimal," IEEE Trans. on Automatic Control, vol. 42, pp. 1098-1105, 1997.
4. W. M. Haddad and J. Corrado, "Non-fragile controller design via quadratic Lyapunov bounds," Proc. of IEEE Control Decision on Conference, pp. 2678-2683, 1997.
5. D. Famularo, C. T. Abdallah, A. Jadbabaie, P. Dorato, and W. M. Haddad, "Robust non-fragile LQ controllers: The static state feedback case," Proc. of American Control Conference, pp. 1109-1113, 1998.
6. P. Dorato, "Non-fragile controller design: An overview," Proc. American Control Conference, pp. 2829-2831, 1998.
7. A. Jadbabie, C. T. Abdalah, D. Famularo, and P. Dorato, "Robust non-fragile and optimal controller design via linear matrix inequalities," Proc. American Control Conference, pp. 2842-2846, 1998.
8. P. Dorato, C. T. Abdallah, and D. Famularo, "On the design of non-fragile compensators via symbolic quantifier elimination," World Automation Congress, pp. 9-14, 1998.
9. ∞ controller design for linear systems with delayed state and control," Automatica, vol. 31, pp. 917-919, 1995.
10. ∞ state feedback control for generalized continuous/discrete time-delay system," Automatica, vol. 35, pp. 1443-1451, 1999.
11. ∞ controller for singular systems with delayed state and control," Journal of the Franklin Institute, vol. 336, pp. 911-923, 1999.
12. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox, The Mathworks Inc., 1995.