Fuzzy singularly perturbed modeling and composite controller design for nonlinear multiple time-scale systems with time-delay

Fuzzy Sets and Systems

Volumn 254, Issue , 2014, Pages 142-156

  Chen, Jinxiang ^a  

^a CENTRAL IRON AND STEEL RESEARCH INSTITUTE   (China)

Author keywords

Discrete time systems; Linear matrix inequality (LMI); Robust control; Spectral norm; Time delay; Uncertain singularly perturbed systems (SPSs)

Indexed keywords

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; ROBUST CONTROL; TIME DELAY;

COMPOSITE CONTROLLERS; DISCRETE TIME SYSTEM; EXTERNAL DISTURBANCES; ILL CONDITIONED PROBLEMS; ROBUST CONTROLLER DESIGN; SINGULARLY PERTURBED MODEL; SINGULARLY PERTURBED SYSTEMS; SPECTRAL NORMS;

PERTURBATION TECHNIQUES;

EID: 84906785877     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2014.01.011     Document Type: Article

References (34)

1. ∞ control of linear time-delay systems IEEE Trans. Autom. Control 47 2 2002 253 270
2. P.L. Liu Exponential stability for linear time-delay systems with delay dependence J. Franklin Inst. 340 6-7 2003 481 488
3. H. Gao, and T. Chen New results on stability of discrete-time systems with time-varying state delay IEEE Trans. Autom. Control 52 2 2007 328 334
4. ∞ stabilization conditions for discrete-time fuzzy systems with interval time-varying delays IEEE Trans. Fuzzy Syst. 17 6 2009 1441 1449
5. ∞ control for T-S fuzzy system with interval time-varying delay Fuzzy Sets Syst. 160 12 2009 1708 1719
6. M. Ghanes, L.J. De, and J. Barbot Observer design for nonlinear systems under unknown time-varying delays IEEE Trans. Autom. Control 58 6 2013 1529 1534
7. C.K. Zhang, L. Jiang, and H.Q. Wu et al. Delay-dependent robust load frequency control for time delay power systems IEEE Trans. Power Syst. 28 3 2013 2192 2201
8. J.X. Dong, Y. Wang, and G.H. Yang Output feedback fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems IEEE Trans. Syst. Man Cybern., Part B, Cybern. 40 6 2010 1447 1459
9. A. Pavlov, and N. van de Wouw Steady-state analysis and regulation of discrete-time nonlinear systems IEEE Trans. Autom. Control 57 7 2012 1793 1798
10. ∞ control of discrete singularly perturbed systems: the state feedback case Automatica 38 7 2002 1791 1797
11. ∞ control of discrete-time singularly perturbed systems Automatica 45 10 2009 2339 2343
12. Z. Shao, and J. Rowland Stability of time-delay singularly perturbed systems IEE Proc., Control Theory Appl. 142 2 1995 111 113
13. ∞ control for uncertain linear time-delay singularly perturbed systems The 30th Chinese Control Conference (CCC) Yantai, China 2011 2246 2251
14. ∞ control of nonlinear singularly perturbed systems Int. J. Robust Nonlinear Control 11 12 2001 1115 1125
15. Z.H. Shao, and M.E. Sawan Stabilization of uncertain singularly perturbed systems IEE Proc., Control Theory Appl. 153 1 2006 99 103
16. J. Wang, and H. Li Nonlinear PI control of a class of nonlinear singularly perturbed systems IEE Proc., Control Theory Appl. 152 5 2005 560 566
17. P.D. Christofiedes Robust output feedback control of nonlinear singularly perturbed systems Automatica 36 1 2000 45 52
18. H.P. Liu, F.C. Sun, and Z.Q. Sun Stability analysis and synthesis of fuzzy singularly perturbed systems IEEE Trans. Fuzzy Syst. 13 3 2005 273 284
19. ∞ control for fuzzy singularly perturbed systems Fuzzy Sets Syst. 155 1 2005 272 291
20. ∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: an LMI approach IEEE Trans. Signal Process. 52 6 2004 1659 1667
21. ∞ output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach IEEE Trans. Fuzzy Syst. 14 3 2006 361 371
22. ∞ filtering for fuzzy singularly perturbed systems IEEE Trans. Syst. Man Cybern., Part B, Cybern. 38 5 2008 1371 1389
23. G.H. Yang, and J.X. Dong Control synthesis of singularly perturbed fuzzy systems IEEE Trans. Fuzzy Syst. 16 3 2008 615 629
24. C.Y. Yang, and Q.L. Zhang Multiobjective control for T-S fuzzy singularly perturbed systems IEEE Trans. Fuzzy Syst. 17 1 2009 104 115
25. ∞ control for fuzzy singularly perturbed systems: a linear matrix inequality approach Int. J. Robust Nonlinear Control 23 1 2013 681 694
26. P. Mei, C. Cai, and Y. Zou Robust fuzzy control of nonlinear singularly perturbed singularly perturbed systems with parametric uncertainties Int. J. Innov. Comput. Inf. Control 4 8 2008 2079 2086
27. ∞ control for standard discrete-time singularly perturbed systems IET Control Theory Appl. 1 4 2007 1141 1148
28. ∞ control design for fuzzy discrete-time singularly perturbed systems via slow variables feedback: An LMI-based approach Inf. Sci. 179 17 2009 3041 3058
29. J. Chen, F. Sun, and Y. Yin et al. State feedback robust stabilisation for discrete-time fuzzy singularly perturbed systems with parameter uncertainty IET Control Theory Appl. 5 10 2011 1195 1202
30. J. Chen, Y. Yin, and F. Sun A new result on state feedback robust stabilization for discrete-time fuzzy singularly perturbed systems Asian J. Control 14 3 2012 784 794
31. H.P. Liu, F.C. Sun, and K.Z. He et al. Fuzzy control for nonlinear singularly perturbed systems with time-delay IEEE International Conference on Systems, Man and Cybernetics, vol. 1 2003 798 803
32. B.L. Zhang, G.Y. Tang, D.X. Gao, Approximate optimal control for a class of singularly perturbed nonlinear time-delay systems, in: Proc. of the 6th World Congress on Intelligent Control and Auto, vol. 1, 2006, pp. 516-520.
33. M. Alwan, X.Z. Liu, and B. Ingalls Exponential stability of singularly perturbed switched systems with time delay Nonlinear Anal. Hybrid Syst. 2 3 2008 913 921
34. Y. Jun Robust stability and stabilization for uncertain Takagi-Sugeno fuzzy time-delay systems Fuzzy Sets Syst. 158 1 2007 115 134