Passivity analysis of neutral fuzzy system with linear fractional uncertainty

Full Text (PDF, 125KB), PP.31-37

Views: 0 Downloads: 0


Jun Yang 1,* Wenpin Luo 2 Jinzhong Cui 3

1. School of Computer Science, Civil Aviation Flight University of China Guanghan, Sichuan, 618307, China

2. College of Science, Sichuan University of Science and Engineering Zigong, Sichuan, 643000, China

3. School of Computer Science and Engineering, University of Electronic Science and Technology of China Chengdu, Sichuan, 610054, China

* Corresponding author.


Received: 10 Jun. 2010 / Revised: 15 Sep. 2010 / Accepted: 5 Dec. 2010 / Published: 8 Mar. 2011

Index Terms

Passivity, Takagi-Sugeno fuzzy systems, Interval time-varying delay, Lyapunov-Krasovskii functional, Linear matrix inequalities (LMIs)


In this paper, the passivity analysis of Takagi-Sugeno (T-S) fuzzy neutral system with interval time-varying delay and linear fractional parametric uncertainty is investigated. Based on the Lyapunov-Krasovskii functional and the free weighting matrix method, delay-dependent sufficient conditions for solvability of the passive problem are obtained in terms of Linear matrix inequalities (LMIs). Finally, a simulation example is provided to demonstrate effectiveness and applicability of the theoretical results.

Cite This Paper

Jun Yang, Wenpin Luo, Jinzhong Cui,"Passivity analysis of neutral fuzzy system with linear fractional uncertainty", International Journal of Intelligent Systems and Applications(IJISA), vol.3, no.2, pp.31-37, 2011. DOI: 10.5815/ijisa.2011.02.05


[1] T. Takagi and M. Sugeno, “Fuzzy identification of systems and its application to modeling and control,” IEEE Trans. Syst., Man and Cyb., vol.15, pp.116-132, 1985.

[2] S. Xu, J. Lam, and B. Chen, “Robust control for uncertain fuzzy neutral delay systems,” European J. Contr., vol.10, pp.365-380,2004.

[3] Y. Li and S. Xu, “Robust stabilization and control for uncertain fuzzy neutral systems with mixed time delays,” Fuzzy Sets and Syst., vol. 159, pp. 2730-2748, 2008.

[4] J. Yang, S. Zhong, and L. Xiong, “A descriptor system approach to non-fragile control for uncertain fuzzy neutral systems,” Fuzzy Sets and Syst., vol. 160, pp. 423-438, 2009.

[5] J. Yang, S. Zhong, G. Li, and W. Luo, “Robust filter design for uncertain fuzzy neutral systems,” Inform. Sci., vol. 179, pp. 3697-3710, 2009.

[6] J. Yang, W. Luo, G. Li, and S. Zhong, “Reliable guaranteed cost control for uncertain fuzzy neutral systems,” Nonlinear Analysis: Hybrid Systems, vol. 4, pp. 644-658, 2010.

[7] D. Yue, Q. Han, and C. Peng, “State feedback controller design of networked controls ystems,” IEEE Trans. Circuits Syst.II, vol. 51, pp. 640-644, 2004.

[8] X. Jiang and Q. Han, “Robust H1 control for uncertain Takagi-Sugeno fuzzy system with interval time-varying delay,” IEEE Trans. Fuzzy Syst., vol. 15, pp. 321-331, 2007.

[9] C. Lien, K. Yu, W. Chen, Z. Wan and Y. Chung, “Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay,” IET Proc. Control Theory Appl., vol. 1, pp. 764-769, 2007.

[10] C. Peng and Y. Tian, “Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay,” J. Comput. Appl. Math., vol. 214, pp. 480-494, 2008.

[11] E. Tian, D. Yue, and Y. Zhang, “Delay-dependent robust control for T-S fuzzy system with interval time-varying delay,” Fuzzy Sets and Systems, vol. 160, pp. 1708-1719, 2009.

[12] D. Hill and P. Moylan, “The stability of nonlinear dissipative systems,” IEEE Trans. on Auto. Contr., vol.21, pp.708-711, 1976.

[13] X. Liu, “Passivity analysis of uncertain fuzzy delayed systems,” Chaos, Solitons & Fractals, vol.34, pp. 833-838, 2007.

[14] G. Calcev, R. Gorez, and M. De Neyer, “Passivity approach to fuzzy control systems,” Automatica, vol.33, pp. 339-344, 1998.

[15] C. Li, H. Zhang, and X. Liao, “Passivity and passification of uncertain fuzzy systems,” IEE Proc.-Circuits Devices Systems, vol.152, pp. 649- 653, 2005.

[16] J. Liang, Z. Wang, and X. Liu, “Robust passivity and passification of stochastic fuzzy time-delay systems,” Information Sciences, vol. 180, pp. 1725-1737, 2010.

[17] R. Lozano, B. Brogliato, O. Egeland, and B. Maschke, “Dissipative systems analysis and control: theory and applications,” Springer- Verlag, London, 2000.

[18] S. Zhou, G. Feng, J. Lam, S. Xu, Robust control for discrete-time fuzzy systems via basis-dependent Lyapunov functions, Infor. Sci. 174 (2005) 197-217.

[19] Y.He, M.Wu, J.H.She, G.P.Liu,Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays, Syst. Control Lett. 51 (2004)57-65.

[20] Y.He, M.Wu, J.H.She, G.P.Liu, Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties, IEEE Trans. Autom.Contro l49(2004)828-832.

[21] D.Yue, Q.-L.Han, Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity and Markovian switching, IEEE Trans. Autom. Control 50(2005)217-222.

[22] Wenpin Luo and Jun Yang, “Passivity analysis of uncertain neutral fuzzy system with interval time-varying delay,” The 2nd Int. Conf. on Information Engineering and Computer Science, vol. 2, pp. 1002-1005, 2010.