Novel stabilization conditions for discrete-time 2-D T-S fuzzy systems in the second FM model

Proceedings of the 29th Chinese Control Conference, CCC'10

Volumn , Issue , 2010, Pages 3515-3520

  Sun, Zuoan ^a   Zhang, Qingling ^b   Liu, Fang ^c  

^a SHENYANG INSTITUTE OF ENGINEERING   (China)

^b NORTHEASTERN UNIVERSITY   (China)

^c INNER MONGOLIA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Fuzzy model; Nonlinear system; Stabilization; Two dimensional system

Indexed keywords

2-D SYSTEMS; ALGEBRAIC DESCRIPTION; DISCRETE-TIME; FUZZY MODELS; NUMERICAL EXAMPLE; SHAPE CHARACTERISTICS; STATE-SPACE MODELS; SUB-SYSTEMS; SUBDIVISION ALGORITHMS; SWITCHING CONTROLLERS; T S FUZZY SYSTEM; T-S FUZZY MODELS; TWO-DIMENSIONAL SYSTEMS;

ALGORITHMS; FUZZY SETS; NONLINEAR SYSTEMS; STABILIZATION; TIME SWITCHES; TWO DIMENSIONAL;

FUZZY LOGIC;

EID: 78650243729     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. R. P. Roesser. A discrete state-space model for linear image processing[j]. IEEE Transactions on Automatic Conrol, 1975, 20(1): 1-10.
2. E. Fornasini, G. Marchesini. State-space realization theory of two-dimensional filters. IEEE Transactions on Automatic Control, 1976, 21(4): 484-492
3. D. H. Owens, N. Amann, E. Rogers, M. French. Analysis of linear iterative learning control schemes - a 2D systems/repetitive processes approach. Multidimensional Systems and Signal Processing, 2000, 11(1-2): 125-177.
4. B. Sulikowski, K. Galkowski, E. Rogers, D. H. Owens. Output feedback control of discrtete linear repetitive process. Automatica, 2004, 10(12): 2167-2173.
5. B. Sulikowski, K. Galkowski, E. Rogers, D. H. Owens. PI control of discrete linear repetitive processes. Automatica, 2006, 42(3): 877-880.
6. ∞ control for 2-D discrete state delyed systems in the second FM method. ACTA Automatica SINICA, 2008, 34(7): 809-813.
7. ∞ filtering for 2D Markovian jump systems. Automatica, 2008, 44(7): 1849-1858.
8. V. Singh. Stability of 2-D discrete systems described by the Fornasini-Marchesini second model with state satura- tion. IEEE Transactions on Circuits and Systems - II: Express Briefs, 2008, 55(8): 793-796.
9. T. Takagi, M. Sugeno. Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems,Man,Cybernetics, 1985, 15(1): 116-132.
10. ∞ control of a class of nonlinear system. Automatica, 1996, 32(10): 1469-1474.
11. E. Kim, H. Lee. New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Transactions on Fuzzy System, 2000, 8(5): 523-534.
12. ∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, 2003, 39(9): 1571-1582.
13. M. Johansson, M. Rantzer. Piecewise quadratic stability of fuzzy systems. IEEE Transactions on Fuzzy Systems, 1999, 7(3): 713-722.
14. T. M. Guerra, L. Vermeiren. LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form. Automatica, 2004, 40(9): 823-829.
15. B. C. Ding, H. X. Sun, P. Yang. Further studies on LMI-based relaxed stabilization conditions for linear systems in Takagi-Sugeno's form. Automatica, 2006, 42(3): 503-508.
16. A. Kruszewski, R. Wang, T. M. Guerra. Nonquadratic stabilization conditions for a class of uncertain nonlinear discrete time T-S fuzzy models: a new approach. IEEE Transactions on Automatic Control 2008, 53(2): 606-611.
17. H. K. Lam, H. F. Frank. LMI-Based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's Form. IEEE Transactions on Systems,Man,Cybernetics-Part B, 2007, 37(5): 1396-1406.
18. H. Edelsbrunner, D. R. Grayson. Edgewise subdivision of a simplex. Discrete Comput. Geom., 2000, 24(1):707-719.