Fuzzy-model-based D-stability and nonfragile control for discrete-time descriptor systems with multiple delays

IEEE Transactions on Fuzzy Systems

Volumn 22, Issue 4, 2014, Pages 1019-1025

  Li, Fanbiao ^a   Shi, Peng ^b,c   Wu, Ligang ^a   Zhang, Xian ^d  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF ADELAIDE   (Australia)

^c VICTORIA UNIVERSITY   (Australia)

^d HEILONGJIANG UNIVERSITY   (China)

Author keywords

D stability; descriptor system; multiple time delays; nonfragile control; Takagi Sugeno (T S) fuzzy systems

Indexed keywords

STABILITY CRITERIA;

D STABILITY; DESCRIPTOR SYSTEMS; MULTIPLE TIME-DELAYS; NON-FRAGILE CONTROL; TAKAGI SUGENO FUZZY SYSTEMS;

FUZZY SYSTEMS;

EID: 84905579997     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2013.2272647     Document Type: Article

References (30)

1. W. Assawinchaichote, S. Nguang, and P. Shi, "H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: An LMI approach," Automatica, vol. 40, no. 12, pp. 2147-2152, 2004.
2. W. Assawinchaichote and S. Nguang, "FuzzyH∞ output feedback control design for singularly perturbed systems with pole placement constraints: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 14, no. 3, pp. 361-371, Jun. 2006. (Pubitemid 43898879)
3. V. Bokharaie, O. Mason, and M. Verwoerd, "D-stability and delayindependent stability of homogeneous cooperative systems," IEEE Trans.Autom. Control, vol. 55, no. 12, pp. 2882-2885, Dec. 2010.
4. M. Chadli and H. Karimi, "Robust observer design for unknown inputs Takagi-Sugeno models," IEEE Trans. Fuzzy Syst., vol. 21, no. 1, pp. 158-164, Feb. 2013.
5. L. Dai, Singular Control Systems. Berlin, Germany: Springer-Verlag, 1989.
6. G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006. (Pubitemid 44607782)
7. H. Gao, Y. Zhao, and J. Lam, "H∞ fuzzy filtering of nonlinear systems with intermittent measurements," IEEE Trans. Fuzzy Syst., vol. 17, no. 2, pp. 291-300, Apr. 2009.
8. W. Ho, S. Chen, I. Chen, J. Chou, and C. Shu, "Design of stable and quadratic-optimal static output feedback controllers for TS-fuzzy-modelbased control systems: An integrative computational approach," Int. J. Innov. Comput. Inf. Control, vol. 8, no. 1(A), pp. 403-418, 2012.
9. B. Jiang, Z. Mao, and P. Shi, "H∞ filter design for a class of networked control systems via T-S fuzzy-model approach," IEEE Trans. Fuzzy Syst., vol. 18, no. 1, pp. 201-208, Feb. 2010.
10. B. Jiang, K. Zhang, and P. Shi, "Integrated fault estimation and accommodation design for discrete-time Takagi-Sugeno fuzzy systems with actuator faults," IEEE Trans. Fuzzy Syst., vol. 19, no. 2, pp. 291-304, Apr.2011.
11. V. Leite and P. Peres, "An improved LMI condition for robust D-stability of uncertain polytopic systems," IEEE Trans. Autom. Control, vol. 48, no. 3, pp. 500-504, Mar. 2003.
12. F. Li and X. Zhang, "A delay-dependent bounded real lemma for singular LPV systems with time-variant delay," Int. J. Robust Nonlinear Control, vol. 22, no. 5, pp. 559-574, 2012.
13. T. Lin, S. Chang, and C. Hsu, "Robust adaptive fuzzy slidingmode control for a class of uncertain discrete-time nonlinear systems," Int. J. Innov.Comput. Inf. Control, vol. 8, no. 1(A), pp. 347-359, 2012.
14. C. Mahmoud and G. Pascal, "H∞ design with the pole placement constraints: An LMI approach," IEEE Trans. Autom. Control, vol. 4, no. 3, pp. 358-367, Mar. 1996.
15. S. Ma, Z. Cheng, and C. Zhang, "Delay-dependent robust stability and stabilisation for uncertain discrete singular systems with time-varying delays," IET Control Theory Appl., vol. 1, no. 4, pp. 1086-1095, 2007. (Pubitemid 46990266)
16. W. Mao and J. Chu, "D-stability and D-stabilization of linear discrete time-delay systems with polytopic uncertainties," Automatica, vol. 45, no. 3, pp. 842-846, 2009.
17. S. Nguang and W. Assawinchaichote, "H∞ filtering for fuzzy dynamical systems with D-stability constraints," IEEE Trans. Circuits Syst.-Part I: Fundam. Theory Appl., vol. 50, no. 11, pp. 1503-1508, Nov. 2003.
18. S. Nguang, P. Shi, and S. Ding, "Fault detection for uncertain fuzzy systems: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 15, no. 6, pp. 1251-1262, Dec. 2007. (Pubitemid 350268654)
19. S. Nguang, W. Assawinchaichote, and P. Shi, "Robust H∞ control design for fuzzy singularly perturbed systems with Markovian jumps: An LMI approach," IET Control Theory Appl., vol. 1, no. 4, pp. 893-908, 2007. (Pubitemid 46990244)
20. M. Liu, X. Cao, and P. Shi, "Fault estimation and tolerant control for fuzzy stochastic systems," IEEE Trans. Fuzzy Syst., vol. 21, no. 2, pp. 221-229, Apr. 2013.
21. P. Shi and V. Dragan, "Asymptotic H∞ control for singularly perturbed systems with parametric uncertainties," IEEE Trans. Autom. Control, vol. 44, no. 9, pp. 1738-1742, Sep. 1999.
22. X. Su, P. Shi, L. Wu, and Y. Song, "A novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay," IEEE Trans.Fuzzy Syst., vol. 20, no. 6, pp. 1114-1129, Dec. 2012.
23. X. Su, P. Shi, L. Wu, and Y. Song, "A novel control design on discrete-time Takagi-Sugeno fuzzy systems with time-varying delays," IEEE Trans.Fuzzy Syst., to be published, doi: 10.1109/TFUZZ.2012.2226941.
24. L. Wu and W. Daniel, "Sliding mode control of singular stochastic hybrid systems," Automatica, vol. 46, no. 4, pp. 779-783, 2010.
25. L. Wu, P. Shi, and H. Gao, "State estimation and sliding mode control of Markovian jump singular systems," IEEE Trans. Autom. Control, vol. 55, no. 5, pp. 1213-1219, May 2010.
26. Z. Wu, P. Shi, H. Su, and J. Chu, "Reliable H∞ control for discrete-time fuzzy systems with infinite-distributed delay," IEEE Trans. Fuzzy Syst., vol. 20, no. 1, pp. 22-31, Feb. 2011.
27. S. Xu, J. Lam, and L. Zheng, "Robust D-stability analysis for uncertain discrete singular systems with state delay," IEEE Trans. Circuits Syst.- Part I: Fundam. Theory Appl., vol. 49, no. 4, pp. 551-555, Apr. 2002. (Pubitemid 34515163)
28. H. Yang, Y. Xia, and B. Liu, "Fault detection for T-S fuzzy discrete systems in finite-frequency domain," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 4, pp. 911-920, Aug. 2011.
29. H. Zhang, Y. Shi, and A. Mehr, "OnH∞ filtering for discrete-time Takagi- Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 20, no. 2, pp. 396-401, Apr. 2012.
30. K. Zhang, B. Jiang, and M. Staroswiecki, "Dynamic output feedback-fault tolerant controller design for Takagi-Sugeno fuzzy systems with actuator faults," IEEE Trans. Fuzzy Syst., vol. 18, no. 1, pp. 194-201, Feb. 2010.