Advanced SearchSearch Tips
Intelligent Digital Redesign for Nonlinear Interconnected Systems using Decentralized Fuzzy Control
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Intelligent Digital Redesign for Nonlinear Interconnected Systems using Decentralized Fuzzy Control
Koo, Geun-Bum; Park, Jin-Bae; Joo, Young-Hoon;
  PDF(new window)
In this paper, a novel intelligent digital redesign (IDR) technique is proposed for the nonlinear interconnected systems which can be represented by a Takagi-Sugeno (T-S) fuzzy model. The IDR technique is to convert a pre-designed analog controller into an equivalent digital one. To develop this method, the discretized models of the analog and digital closed-loop system with the decentralized controller are presented, respectively. Using these discretized models, the digital decentralized control gain is obtained to minimize the norm between the state variables of the analog and digital closed-loop systems and stabilize the digital closed-loop system. Its sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to verify the effectiveness of the proposed technique.
Nonlinear interconnected systems;Takagi-Sugeno (T-S) fuzzy model;Decentralized control;Intelligent digital redesign (IDR);Linear matrix inequality (LMI);
 Cited by
Decentralised control for large-scale sampled-data systems: digital redesign approach, International Journal of Control, 2015, 88, 11, 2181  crossref(new windwow)
On the Fuzzy Model Predictive Control of Interconnected Nonlinear Systems, Arabian Journal for Science and Engineering, 2017, 42, 7, 2759  crossref(new windwow)
Sampled-Data Observer-Based Decentralized Fuzzy Control for Nonlinear Large-Scale Systems, Journal of Electrical Engineering and Technology, 2016, 11, 3, 724  crossref(new windwow)
X. G. Yan, J. J. Wang, X. Y. Lű, and S. Y. Zhang, "Decentralized output feedback robust stabilization for a class of nonlinear interconnected systems with similarity," IEEE Trans. Automatic Control, vol. 43, no. 2, pp. 294-299, 1998. crossref(new window)

X. G. Yan, C. Edwards, and S. K. Spurgeon, "Decentralised robust sliding mode control for a class of nonlinear interconnected systems by static output feedback," Automatica, vol. 40, pp. 613-620, 2004. crossref(new window)

B. Y. Zhu, Q. L. Zhang, and X. F. Zhang, "Decentralized robust guaranteed cost control for uncertain T-S fuzzy interconnected systems with time delays," Int. J. Information and Systems Sciences, vol. 1, no. 1, pp. 73-88, 2005.

C. S. Tseng and B. S. Chen, "$H_{\infty}$ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems," IEEE Trans. Fuzzy Systems, vol. 9, no. 6, pp. 795-809, 2001. crossref(new window)

F. H. Hsiao, C. W. Chen, Y. W. Liang, S. D. Xu, and W. L. Chiang, "T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays," IEEE Trans. Circuits and Systems, vol. 52, no. 9, pp. 1883-1893, 2005. crossref(new window)

R. J. Wang, "Nonlinear decentralized state feedback controller for uncertain fuzzy time-delay interconnected systems," Fuzzy Sets and Systems, vol. 151, pp. 194-204, 2005.

B. Song, "Robust stabilization of decentralized dynamic surface control for a class of interconnected nonlinear systems," Int. J. Control, Automation, and Systems, vol. 5, no. 2, pp. 138-146, 2007.

S. Ganapathy and S. Velusami, "Decentralized loadfrequency control of interconnected power systems with SMES units and governor dead band using multi-objective evolutionary algorithm," J. Electrical Engineering and Technology, vol. 4, no. 4, pp. 443-450, 2009. crossref(new window)

D. K. Sambariya and R.Gupta, "Fuzzy applications in a multi-machine power system stabilizer," J. Electrical Engineering and Technology, vol. 5, no. 3, pp. 503-510, 2010. crossref(new window)

B. C. Kuo, Digital Control System: Holt, Rinehart and Winston, New York, 1980.

L. S. Shieh, W. M. Wang, and J. S. H. Tsai, "Digital modeling and digital redesign of sampled-data uncertain systems," IEE Control Theory, vol. 142, pp. 585-594, 1995. crossref(new window)

L. S. Shieh, W. M. Wang, and J. B. Zheng, "Robust control of sampled-data uncertain systems using digitally redesigned observer-based controllers," Int. J. Control, vol. 66, pp. 43-64, 1997. crossref(new window)

Y. H. Joo, G. Chen, and L. S. Shieh, "Hybrid statespace fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems," IEEE Trans. Fuzzy Systems, vol. 7, no. 4 pp. 394-408, 1999.

W. Chang, J. B. Park, Y. H. Joo, and G. Chen, "Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign," IEEE Trans. Circuits and Systems, vol. 49, no. 4, pp. 509- 517, 2002.

H. J. Lee, H. B. Kim, Y. H. Joo, W. Chang, and J. B. Park, "A new intelligent digital redesign for T-S fuzzy systems: global approach," IEEE Trans. Fuzzy Systems, vol. 12, no. 2, pp. 274-284, 2004. crossref(new window)

D. W. Kim, J. B. Park, and Y. H. Joo, "Effective digital implementation of fuzzy control systems based on approximate discrete-time models," Automatica, vol. 43, no. 10, pp. 1671-1683, 2007. crossref(new window)

H. C. Sung, D. W. Kim, J. B. Park, and Y. H. Joo, "Robust digital control of fuzzy systems with parametric uncertainties: LMI-based digital redesign approach," Fuzzy Sets and Systems, vol. 161, pp. 919-933, 2010. crossref(new window)

K. H. Lee, "Robust decentralized stabilization of a class of linear discrete-time systems with non-linear interactions," Int. J. Control, vol. 80, no. 10, pp. 1544-1551, 2007. crossref(new window)

Z. Duan, J. Wang, and L. Huang, "Special decentralized control problems in discrete-time interconnected systems composed of two subsystems," Systems and Control Letters, vol. 56, pp. 206-214, 2007. crossref(new window)

J. S. Tsai, N. Hu, P. Yang, S. Guo, and L. Shieh, "Modeling of decentralized linear observer and tracker for a class of unknown interconnected largescale sampled-data nonlinear systems with closedloop decoupling property," Computers and Mathematics with Applications, vol. 60, pp. 541-562, 2010. crossref(new window)

J. V. D. Oliveira, J. Bernussou, and J. C. Geromel, "A new discrete-time robust stability condition," Systems and Control Letters, vol. 37, pp. 261-265, 1999. crossref(new window)

F. Da, "Decentralized sliding mode adaptive controller design based on fuzzy neural networks for inter-connected uncertain nonlinear systems," IEEE Trans. Neural Networks, vol. 11, no. 6, pp. 1471-1480, 2000. crossref(new window)