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http://dx.doi.org/10.5391/IJFIS.2004.4.2.199

Digital Control for Takagi-Sugeno Fuzzy System with Multirate Sampling  

Kim, Do Wan (The Department of Electrical and Electronic Engineering, Yonsei University)
Joo, Young Hoon (The School of Electronic and Information Engineering, Kunsan National University.)
Park, Jin Bae (The Department of Electrical and Electronic Engineering, Yonsei University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.4, no.2, 2004 , pp. 199-204 More about this Journal
Abstract
In this paper, a new dual-rate digital control technique for the Takagi-Sugeno (T-S) fuzzy system is suggested. The proposed method takes account of the stabilizablity of the discrete-time T-S fuzzy system at the fast-rate sampling points. Our main idea is to utilize the lifted control input. The proposed approach is to obtain the dual-rate discrete-time T-S fuzzy system by discretizing the overall dynamics of the T-S fuzzy system with the lifted control, and then to derive the sufficient conditions for the stabilization in the sense of the Lyapunov asymptotic stability for this system. An example is provided for showing the feasibility of the proposed discretization method.
Keywords
Digital control; Takagi-Sugeno (T-S) fuzzy system; stability; dual-rate sampling; linear matrix inequalities (LMIs);
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