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http://dx.doi.org/10.5391/JKIIS.2006.16.1.113

LMI-Based Intelligent Digital Redesign for Multirate Sampled-Data Fuzzy Systems  

Kim, Do-Wan (Yonsei University)
Joo, Young-Hoon (Kunsan University)
Park, Jin-Bae (Yonsei University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.16, no.1, 2006 , pp. 113-118 More about this Journal
Abstract
This paper presents a new linear-matrix-inequality-based intelligent digital redesign (LMI-based IDR) technique to match the states of the analog and the digital T-S fuzzy control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the affine control scheme is employed to increase the degree of freedom; 2) the fuzzy-model-based periodic control is employed, and the control input is changed n times during one sampling period; 3) The proposed IDR technique is based on the approximately discretized version of the T-S fuzzy system, but its discretization error vanishes as n approaches the infinity. 4) some sufficient conditions involved in the state matching and the stability of the closed-loop discrete-time system can be formulated in the LMIs format.
Keywords
Intelligent digital redesign (IDR); fuzzy-model-based control; digital control; fuzzy system;
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1 W. Chang, J B. Park, H. J. Lee, and Y. H. Joo, 'LMI approach to digital redesign of linear time-invarint systems,' lEE Proc., Control Theory Appl., vol. 149, no. 4, pp. 297-302, 2002   DOI   ScienceOn
2 L. Qiu and T. Chen, 'H2 -optimal design of multirate sampled-data systems,' IEEE Trans. Automat. Contr., vol. 39, pp. 2506-2511, 1994   DOI   ScienceOn
3 Y. H. Joo, L. S. Shieh, and G. Chen, 'Hybrid state space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,' IEEE Trans. Fuzzy Syst., voL 7, no. 4, pp. 394-408, 1999   DOI   ScienceOn
4 H. J. Lee, J. B. Park, and Y. H. Joo, 'An efficient observer-based sampled-data control: Digital redesign approach,' IEEE Trans. Circuits Syst. I, vol. 50, no. 12, pp. 1595-1601, 2003   DOI
5 T. Chen and B. Francis, 'Optimal Sampled-Data Control Systems,' Springer, 1995
6 H. Fujimoto, Y. Hori, and A. Kawamura, 'Perfect tracking control based on multirate feedforward control with generalized sampling periods,' IEEE Trans. Ind. Electron., vol. 48, no. 3, pp. 636-644, 2001   DOI   ScienceOn
7 T. Chen and L. Qiu, 'H$\infty$ design of general multirate sampled-data control systems,' Automatica, vol. 30, pp. 1139-1152, 1994   DOI   ScienceOn
8 G. J. Pappas and S. Simic , 'Consistent abstractions of affine control systems,' IEEE Trans. Automat. Contr., vol. 47, pp. 745 - 756, 2002   DOI   ScienceOn
9 L. S. Shieh, W. M. Wang, J. Bain, and J. W. Sunkel, 'Design of lifted dual-rate digital controllers for X-38 vehicle,' Jounal of Guidance,Contr. Dynamics, vol. 23, pp. 629-339, Jul., 2000   DOI   ScienceOn
10 H. J. Lee, H. 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 Syst., vol. 12, no. 2, pp. 274-284, 2004   DOI   ScienceOn
11 P. G. Voulgaris, M. A. Dahleh, and L. S. Valavani, 'H$\infty$ and H$\in$: optimal controllers for periodic and multirate systems,' Automatica, vol. 30, pp. 251-263, 1994   DOI   ScienceOn
12 H. Bo and A. N. Michel, 'Some qualitative properties of multirate digital control systems,' IEEE Trans. Automat. Contr., vol. 44, pp. 765- 770, 1999   DOI   ScienceOn
13 P. G.Voulgaris and B. Barnieh, 'Optimal H$\infty$ and H$\in$: control of hybrid multirate systems,' Syst.Contr. Lett., vol. 20, pp. 249-261, 1993   DOI   ScienceOn
14 B. A. Francis and T. T. Georgiou, 'Stability theory for linear time-invariant plants with periodic digital controllers,' IEEE Trans. Automat.Contr., vol. 33, no. 9, pp. 820-832, 1988   DOI   ScienceOn
15 K. Tananka, T. Kosaki, and H. O. Wang, 'Backing control problem of a mobile robot with multiple trailers: fuzzy modeling and LMI-based design,' IEEE Trans. Syst. Man, Cybem. C., vol. 28, no. 3, pp. 329-337, 1998   DOI
16 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. Circ. Syst. I, vol. 49, no. 4, pp. 509-517, 2002   DOI   ScienceOn
17 W. Chang, J B. Park, and Y. H. Joo, 'GA-basedintelligent digital redesign of fuzzy-model-based controllers,' IEEE Trans. Fuzzy Syst., vol. 11, no. 1, pp. 35-44, 2003   DOI   ScienceOn
18 P. Colaneri and G. De Nicolao, 'Multirate LQG control of continuous- time stochastic systems,' Automatica, vol. 31, pp. 591-596, 1995   DOI   ScienceOn
19 H. O. Wang, K. Tananka, and M. F. Griffin, 'An approach to fuzzy control of nonlinear systems: Stability and design issues,' IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 14-23, 1996   DOI   ScienceOn