[1] Chu Hongyan, Fei Shumin, Chen Haixia, et al. T-S-fuzzy-model-based quantized controlfor nonlinear networked control systems [J]. Journal of Southeast University (English Edition), 2010, 26 (1): 137-141. [doi:10.3969/j.issn.1003-7985.2010.01028]

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T-S-fuzzy-model-based quantized controlfor nonlinear networked control systems()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

26

Issue:

2010 1

Page:

137-141

Research Field:

Automation

Publishing date:

2010-03-30

Info

Title:

T-S-fuzzy-model-based quantized controlfor nonlinear networked control systems

Author(s):

Chu Hongyan¹;  2;  Fei Shumin¹;  Chen Haixia³;  Zhai Junyong¹

¹ School of Automation, Southeast University, Nanjing 210096, China
² School of Electrical and Automatic Engineering, Nanjing Normal University, Nanjing 210042, China
³ School of Electrical and Automatic Engineerin

Keywords:

T-S fuzzy model;  linear matrix inequalities(LMIs);  quantizers

PACS:

TP273

DOI:

10.3969/j.issn.1003-7985.2010.01028

Abstract:

In order to overcome data-quantization, networked-induced delay, network packet dropouts and wrong sequences in the nonlinear networked control system, a novel nonlinear networked control system model is built by the T-S fuzzy method. Two time-varying quantizers are added in the model. The key analysis steps in the method are to construct an improved interval-delay-dependent Lyapunov functional and to introduce the free-weighting matrix. By making use of the parallel distributed compensation technology and the convexity of the matrix function, the improved criteria of the stabilization and stability are obtained. Simulation experiments show that the parameters of the controllers and quantizers satisfying a certain performance can be obtained by solving a set of LMIs. The application of the nonlinear mass-spring system is provided to show that the proposed method is effective.

References:

[1] Zhang W, Branicky M S. Stability of networked control systems [J]. IEEE Control Systems Magazine, 2001, 21(1): 84-99.
[2] Walsh G, Ye H. Stability analysis of networked control systems [J]. IEEE Trans Control Systems Technology, 2002, 10(3): 438-446.
[3] Yue D, Han Q L. State feedback controller design of networked control systems [J]. IEEE Trans Circuits and Systems Ⅱ, 2004, 51(11): 640-644.
[4] Yue D, Han Q L. Network-based robust H_∞control of systems with uncertainty [J]. Automatica, 2005, 41(6): 999-1007.
[5] Nguang S K, Shi P. Fuzzy H_∞ output feedback control of nonlinear systems under sampled measurements [J]. Automatica, 2003, 39(12): 2169-2174.
[6] Mao Z H, Jiang B, Shi P. H_∞∞ fault detection filter design for networked control systems modeled by discrete Markovian jump systems[J]. IET Control Theory Application, 2007, 1(5):1336-1343.
[7] Tian E, Peng C. Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay [J]. Fuzzy Sets and Systems, 2006, 157(4): 544-559.
[8] Peng C, Tian Y. Networked H_∞ control of linear systems with state quantization [J]. Information Sciences, 2007, 177(24): 5763-5774.
[9] Zhang H, Yang J. T-S fuzzy-model-based robust H_∞design for networked control systems with uncertainties [J]. IEEE Trans on Industrial Informatics, 2007, 3(4): 289-301.
[10] Zhang H, Yang D, Chai T. Guaranteed cost networked control for T-S fuzzy systems with time delays [J]. IEEE Transactions on Systems, Man and Cybernetics, 2007, 37(2): 160-172.

Memo

Memo:

Biographies: Chu Hongyan(1979—), female, graduate; Fei Shumin(corresponding author), male, doctor, professor, smfei@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.60474049, 60835001), Specialized Research Fund for Doctoral Program of Higher Education(No.20090092120027).
Citation: Chu Hongyan, Fei Shumin, Chen Haixia, et al. T-S-fuzzy-model-based quantized control for nonlinear networked control systems[J]. Journal of Southeast University(English Edition), 2010, 26(1): 137-141.

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