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Robust Stabilization And Control Of Takagi-Sugeno Fuzzy Systems With Parameter Uncertainties And Disturbances Via State Feedback And Output Feedback
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Author(s): Iqbal Ahammed A.K. (Anjuman Institute of Technology and Management, Bhatkal, India)and Mohammed Fazle Azeem (King Khalid University, Guraiger, Kingdom of Saudi Arabia)
Copyright: 2020
Volume: 9
Issue: 3
Pages: 37
Source title:
International Journal of Fuzzy System Applications (IJFSA)
Editor(s)-in-Chief: Deng-Feng Li (School of Management and Economics, University of Electronic Science and Technology of China (UESTC))
DOI: 10.4018/IJFSA.2020070104
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Abstract
Most of the systems in the industry contain extreme non-linearity and uncertainties, which are hard to design and control utilizing general nonlinear systems. To conquer this sort of troubles, different plans have been produced in the most recent two decades, among which a popular methodology is Takagi-Sugeno fuzzy control. In this article, we present robust stabilization and control of Takagi-Sugeno (T-S) fuzzy systems with parameter uncertainties and disturbances. Initially, Takagi and Sugeno (TS) fuzzy model is used to represent a nonlinear system. Based on this T-S fuzzy model, fuzzy controller design schemes for state feedback and output feedback is also developed. Then, necessary conditions are derived for robust stabilization in the intelligence of Lyapunov asymptotic stability and are expressed in the arrangement of linear matrix inequalities (LMIs). The proposed system is implemented in the working platform of MATLAB and the simulation results are provided to illustrate the effectiveness of the proposed methods.
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