Observer-based non-fragile control against measurement disturbances and controller perturbations for discrete systems with state delay

Asian Journal of Control

Volumn 11, Issue 3, 2009, Pages 319-326

  Fang, Xiaosheng ^a   Wang, Jingcheng ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Linear matrix inequality; Measurement disturbances; Non fragile; Observer based control; Time delay

Indexed keywords

CLOSED LOOP SYSTEMS; CONTROL SYSTEM ANALYSIS; CONVEX OPTIMIZATION; DELAY CONTROL SYSTEMS; DESIGN; DISCRETE TIME CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; ROBUSTNESS (CONTROL SYSTEMS); TIME DELAY;

CONVEX OPTIMIZATION PROBLEMS; DISCRETE TIME-DELAY SYSTEM; DISTURBANCE ESTIMATION; LINEAR MATRIX INEQUALITY APPROACH; MEASUREMENT DISTURBANCES; NON-FRAGILE; NONFRAGILE CONTROLLERS; OBSERVER BASED CONTROL;

CONTROLLERS;

EID: 72449174706     PISSN: 15618625     EISSN: None     Source Type: Journal    
DOI: 10.1002/asjc.109     Document Type: Article

References (20)

1. Keiji, W. and M. Ito, "An observer for linear feedback control laws of multivariable systems with multiple delays in controls and outputs," Syst. Control Lett., Vol. 1, No. 1, pp. 54-59 (1981).
2. Pearson, A. E. and Y. A. Fiagbedzi, "An observer for time lag systems," IEEE Trans. Autom. Control, Vol. 34, No. 7, pp. 775-777 (1989).
3. Trinh, H. and M. Aldeen, "A memoryless state observer for discrete time-delay systems," IEEE Trans. Autom. Control, Vol. 42, No. 11, pp. 1572-1577(1997).
4. Trinh, H., "Linear functional state observer for time-delay systems," Int. J. Control, Vol. 72, No. 18, pp. 1642-1658(1999).
5. Yao, Y. X., Zhang, Y M. and R. Kovacevic, "Function observer and state feedback for input time-delay systems" Int. J. Control, Vol. 66, No. 4, pp. 603-617(1997).
6. Barmish, B. R. and A. R. Galimidi, "Robustness of Luenberger observers: linear systems stabilized via nonlinear control," Automatica, Vol. 22, No. 4, pp. 413-423 (1986).
7. ∞ observer design of linear state delayed systems with parametric uncertainty: the discrete-time case," Automatica, Vol. 35, No. 6, pp. 1161-1167(1999).
8. Yang, H. and M. Saif, "Observer design and fault diagnosis for state-retarded dynamical systems," Automatica, Vol. 34, No. 2, pp. 217-227 (1998).
9. Gao, Z. and H. Wang, "Descriptor observer approaches for multivariable systems with measurement noises and application in fault detection and diagnosis," Syst. Control Lett., Vol. 54, No. 4, pp. 305-313 (2006).
10. Corless, M and J. Tu, "State and input estimation for a class of uncertain systems," Automatica, Vol. 34, No. 6, pp. 757-764 (1998).
11. Xiong, Y and M. Saif, "Unknown disturbance inputs estimation based on a state functional observer design," Automatica, Vol. 39, No. 8, pp. 1389-1398(2003).
12. Ha, Q. P. and H. Trinh, "State and input simultaneous estimation for a class of nonlinear systems," Automatica, Vol. 40, No. 10, pp. 1779-1785 (2004).
13. Trinh, H. and Q. P. Ha, "State and input simultaneous estimation for a class of time-delay systems with uncertainties," IEEE Trans. Circuits Syst, Vol. 54, No. 6, pp. 527-531 (2007).
14. Keel, L. H. and S. P. Bhattacharyya, "Robust fragile or optimal," IEEE Trans. Autom. Control, Vol. 42, No. 8, pp. 1098-1100(1997).
15. Corrado, J. R. and W. M. Haddad, "Static output feedback controllers for systems with parametric uncertainty and controller gain variation," Proc. 1999 Am. Control Conf., Vol. 2, No. 2, pp. 915-919(1999).
16. ∞ control for linear systems with controller uncertainty," Proc. 1999 Am. Control Conf., San Diego, pp. 3377-3381 (1999).
17. ∞ control for linear systems with multiplicative controller gain variations" Automatica, Vol. 37, No. 5, pp. 727-737 (2001).
18. Lien, C. H., W. C. Cheng, C. H. Tsai, and K. W. Yu, "Non-fragile observer-based controls of linear system via LMI approach," Chaos Solitons Fractals, Vol. 32, No. 4, pp. 1530-1537 (2007).
19. ∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos Solitons Fractals, Vol. 34, No. 2, pp. 428-436 (2007).
20. Gao, Z. W. and S. X. Ding, "State and disturbance estimator for time-delay systems with application to fault estimation and signal compensation," IEEE Trans. Signal Process., Vol. 55, No. 32, pp. 5541-5551 (2007).