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Admissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 12، شماره 3، شهریور 2015، صفحه 1-16 اصل مقاله (165.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2016 | ||
| نویسندگان | ||
| P. Balasubramaniam -pour* ؛ L. Jarina Banu | ||
| Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram - 624 302, Tamilnadu, India | ||
| چکیده | ||
| This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the lower and upper delay bounds. Finally, numerical examples are provided to substantiate the theoretical results. | ||
| کلیدواژهها | ||
| Discrete-time Singular system؛ Takagi-Sugeno fuzzy systems؛ stability؛ Lyapunov-Krasovskii functional؛ Linear matrix inequality (LMI) | ||
| مراجع | ||
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[1] J. An and G. Wen, Improved stability criteria for time-varying delayed T-S fuzzy systems via delay partitioning approach, Fuzzy Sets Syst., 185(1) (2011), 83-94. [2] S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in system and control theory, Soc. Ind. Appl. Math., Philadelphia, 1994. [3] I. M. Buzurovic and D. LJ. Debeljkovic, Contact problem and controllability for singular systems in biomedical robotics, Int. J. Inf. Syst. Sci., 6(2) (2010), 128-141. [4] S. H. Chen and J. H. Chou, Stability robustness of linear discrete singular time-delay systems with structured parameter uncertainties, IEE Proc. Control Theory Appl., 150(3) (2003), 295-302. [5] L. Dai, Singular Control Systems, Springer-Verlag : Berlin, 1989. [6] Y. Ding, S. Zhong and W. Chen, A delay-range-dependent uniformly asymptotic stability criterion for a class of nonlinear singular systems, Nonlinear Anal. B: Real World Appl., 12(2) (2011), 1152-1162. [7] M. Fang, Delay-dependent stabililty analysis for discrete singular systems with time-varying delays, Acta Automat. Sinica, 36(5) (2010), 751-755. [8] Z. Feng and J. Lam, Robust reliable dissipative ltering for discrete delay singular systems, Signal Process., 92(12) (2012), 3010-3025. [9] C. Huang, Stability analysis of discrete singular fuzzy systems, Fuzzy Sets Syst., 151(1) (2005), 155-165. [10] J. Jiao, Robust stability and stabilization of discrete singular systems with interval time- varying delay and linear fractional uncertainty, Int. J. Autom. Comput., 9(1) (2012), 8-15. [11] F. L. Lewis, A survey of linear singular systems, Circuits Syst. Signal Process., 5(1) (1986), 3-36. [12] J. Li, H. Su, Z. Wu and J. Chu, Robust stabilization for discrete-time nonlinear Singular systems with mixed time delays, Asian J. Control, 14(1) (2012), 1411-1421. [13] J. Li, H. Su, Z. Wu and J. Chu, Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay, Int. J. Syst. Sci., 44(3) (2013), 432-441. [14] J. Lin, S. Fei and J. Shen, Delay-dependent H1 ltering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities, Signal Process., 91(2) (2011), 277-289. [15] I. R. Petersen, A stabilization algorithm for a class of uncertain linear systems, Systems Control Lett., 8(4) (1987), 351-357. [16] H. Rotstein, M. Sznaier and M. Idan, H2=H1 ltering theory and an aerospace application, Int. J. Robust Nonlinear Control, 6 (1996), 347-366. [17] T. Takagi and M. Sugeno, Fuzzy identication of systems and its applications to modelling and control, IEEE Trans. Syst. Man Cybern., 15(1) (1985), 116-132. [18] K. Tanaka and M. Sugeno, Stability analysis and design of fuzzy control systems, Fuzzy Sets Syst., 45(2) (1992), 135-156. [19] T. Taniguchi, K. Tanaka and H. O. Wang, Fuzzy descriptor systems and nonlinear model following control, IEEE Trans. Fuzzy Syst., 8(4) (2000), 265-452. [20] Y. Wang, Z. Sun and F. Sun, Robust fuzzy control of a class of nonlinear descriptor systems with time-varying delay, Int. J. Control Autom. Syst., 2(1) (2004), 76-82. [21] Z.Wu, J. H. Park, H. Su and J. Chu, Admissibility and dissipativity analysis for discrete-time singular systems with mixed time-varying delays, Appl. Math. Comput., 218(13) (2012), 7128-7138. [22] Z. Wu, P. Shi, H. Su and J. Chu, Reliable H1 control for discrete-time fuzzy systems with innite-distributed delay, IEEE Trans. Fuzzy Syst., 20(1) (2012), 22-31. [23] Z. Wu, H. Su and J. Chu, Robust exponential stability of uncertain singular markovian jump time-delay systems, Acta Automat. Sinica, 36(4) (2010), 558-563. [24] Y. Xia, L. Li, M. S. Mahmoud and H. Yang, H1 ltering for nonlinear singular markovian jumping systems with interval time-varying delays, Int. J. Syst. Sci., 43(2) (2012), 272-284. [25] H. Xin, D. Gan, M. Huang and K. Wang, Estimating the stability region of singular perturba- tion power systems with saturation nonlinearities: an linear matrix inequality-based method, IET Control Theory Appl., 4(3) (2010), 351-361. [26] S. Xu, P. V. Dooren, R. Stefan and J. Lam, Robust stability and stabilization for singular systems with state delay and parameter uncertainty, IEEE Trans. Autom. Control, 47(7) (2002), 1122-1128. [27] S. Xu, B. Song, J. Lu and J. Lam, Robust stability of uncertain discrete-time singular fuzzy systems, Fuzzy Sets Syst., 158(20) (2007), 2306-2316. [28] Q. L. Zhang, Decentralized control and robust control for singular systems, Xian : North- western University Press, 1997. [29] J. Zhang and Y. Zhao, Asymptotic stability of nonlinear singular discrete systems, Proc. IEEE Int. Conf. Multimedia Tech., (2011), 2411-2413. [30] S. Zhao, Quadratic stabilization for a class of switched Nonlinear singular systems, Int. J. Inf. Syst. Sci., 5(3-4) (2009), 425-429. | ||
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