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Sampled-Data Controller Design for Nonlinear Systems Including Singular Perturbation in Takagi-Sugeno Form
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 Title & Authors
Sampled-Data Controller Design for Nonlinear Systems Including Singular Perturbation in Takagi-Sugeno Form
Moon, Ji Hyun; Lee, Jaejun; Lee, Ho Jae;
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This paper discusses a sampled-data controller design problem for nonlinear systems including singular perturbation. The concerned system is assumed to be modeled in Takagi--Sugeno (T--S) form. By introducing a novel Lyapunov function and an identity equation, the stability of the sampled-data closed-loop dynamics of the singularly perturbed T--S fuzzy system is analyzed. The design condition is represented in terms of linear matrix inequalities. A few discussions on the development are made that propose future research topics. Numerical simulation shows the effectiveness of the proposed method.
Takagi--Sugeno (T--S) fuzzy systems;Singular perturbation;Sampled-data control;Linear matrix inequality;
 Cited by
P. Sannuti and P. V. Kokotovic, "Near optimum design of linear systems by a singular perturbation method," IEEE Trans. Autom. Control, vol. 14, no. 1, pp. 15-21, 1969. crossref(new window)

B. S. Kim, "Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by $H_{\infty}$ Norm and Lambert W Function," Transactions of the Korea Institute of Electrical Engineers, vol. 62, no. 8, pp. 1144-1150, 2013. crossref(new window)

W. Assawinchaichote and S. Nguang, "$H_{\infty}$ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach," IEEE Trans. Syst., Man, Cybern. B, vol. 34, no. 1, pp. 579-588, Feb 2004. crossref(new window)

W. Assawinchaichote, S. K. Nguang, and P. Shi, "$H_{\infty}$ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach," Automatica, vol. 40, no. 12, pp. 2147-2152, 2004.

C. K. Ha and H. S. Choi, "Design of autolanding guidance and control algorithm using singular perturbation," Journal of Control, Automation and Systems Engineering, vol. 11, no. 8, pp. 726-732, 2005. crossref(new window)

D. W. Kim and H. J. Lee, "Direct discrete-time design approach to robust $H_{\infty}$ sampled-data observer-based output-feedback fuzzy control," Int. J. Syst. Sci., pp. 1-15, Apr 2015.

S. W. Jun, D. W. Kim, and H. J. Lee, "Design of T--S Fuzzy-Model-Based Controller for Control of Autonomous Underwater Vehicles," Journal of Korean Institute of Intelligent System, vol. 21, no. 3, pp. 302-306, 2011. crossref(new window)

D. W. Kim and H. J. Lee, "Stability connection between sampled-data fuzzy control systems with quantization and their approximate discrete-time model," Automatica, vol. 45, pp. 1518-1523, 2009. crossref(new window)

D. W. Kim, H. J. Lee, and M. Tomizuka, "Fuzzy stabilization of nonlinear systems under sampled-data feedback: An exact discrete-time model approach," IEEE Trans. Fuzzy Syst., vol. 18, pp. 251-260, 2010.

S. H. Yoo and B, J, Choi, "An $H_{\infty}$ Output Feedback Control for Singularly Perturbed Fuzzy Systems," Korean Institute of Intelligent Systems, vol. 14, no. 3, pp. 316-323, 2004.

H. J. Lee and D. W. Kim, "Performance recoverable intelligent digital redesign for fuzzy tracking controllers," Information Sciences, vol. 326, pp. 350-367, 2016. crossref(new window)

K. Gu, "An integral inequality in the stability problem of time-delay systems," in Proceedings of the 39th IEEE conference on decision and control, 2000, pp. 2805-2810.

H. K. Lam, H. Li, C. Deters, E. L. Secco, H. A. Wurdemann, and K. Althoefer, "Control design for interval type-2 Fuzzy systems under imperfect premise matching," IEEE Trans. Ind. Electron., vol. 61, no. 2, pp. 956-968, Feb 2014. crossref(new window)

W.-J. Chang, C.-P. Kuo, and C.-C. Ku, "Intelligent fuzzy control with imperfect premise matching concept for complex nonlinear multiplicative noised systems," Neurocomputing, vol. 154, pp. 276-283, Apr 2015. crossref(new window)

D. Zhang and Q.-L. Han, "$H^{\infty}$ control design for network- based T--S fuzzy systems with asynchronous constraints on membership functions," in IECON 2011-37th Annual Conference on IEEE Industrial Electronics Society, Melbourne, VIC, 2011, pp. 2548-2549.

H. Liu, F. Sun, and Z. Sun, "Stability analysis and synthesis of fuzzy singularly perturbed systems," IEEE Trans. Fuzzy Syst., vol. 13, no. 2, pp. 273-284, Apr 2005. crossref(new window)