Signal Flow Graph Analysis of Linearized Takagi-Sugeno Fuzzy PI Controller
B. Amarendra Reddy1, Praveen Adimulam2, M. Sujatha3
1B. Amarendra Reddy, Asst. Professor,Dept. of Electrical Engineering, Andhra University, Visakhapatnam.
2Praveen Adimulam,PG Scholar,Dept. of Electrical Engineering, Andhra University, Visakhapatnam.
3M. Sujatha, PG Scholar, Dept. of Electrical Engineering, Andhra University, Visakhapatnam.
Manuscript received on April 15, 2012. | Revised Manuscript received on April 20, 2012. | Manuscript published on May 05, 2012. | PP: 131-138 | Volume-2 Issue-2, May 2012 . | Retrieval Number: B0538042212/2012©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: A systematic procedure for developing the signal flow graph model of linearized Takagi-Sugeno (TS) fuzzy PI controller is presented in this paper. This proposed method provides ease of model formulation and avoids the mathematical complexity involved in obtaining the linearized model from a non-linear model. As a first step in constructing the signal flow graph, the analytical structures of TS-fuzzy PI controller is needed. Triangular/trapezoidal membership functions are considered for input variables, Zadeh fuzzy logic AND operation and centroid defuzzifier, structural analysis of TS-fuzzy pi controller are considered. A TS-fuzzy PI controller is represented as a non-linear TS-fuzzy PI controller which is linearized around an operating point using perturbation method. For the linearized fuzzy TS-fuzzy PI controller signal flow graphs are developed.
Keywords: TS-fuzzy, PI controller.