Robust Takagi-Sugeno fuzzy control for fractional order hydro-turbine governing system |
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| Affiliation: | 1. School of Electrical Engineering, Chungbuk National University, 1 Chungdae-Ro, Cheongju 28644, Republic of Korea;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;3. Department of Electronics Engineering, Kyungpook National University, 80 Daehak-ro, Daegu 41566, Republic of Korea;1. School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China;2. Research Center of Information and Control, Dalian University of Technology, Dalian 116024, China;3. School of Information Science and Engineering, Northeastern University, Shenyang 110004, China;4. Key Laboratory of Integrated Automation of Process Industry, National Education Ministry, Northeastern University Shenyang 110004, China |
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| Abstract: | A robust fuzzy control method for fractional order hydro-turbine governing system (FOHGS) in the presence of random disturbances is investigated in this paper. Firstly, the mathematical model of FOHGS is introduced, and based on Takagi-Sugeno (T-S) fuzzy rules, the generalized T-S fuzzy model of FOHGS is presented. Secondly, based on fractional order Lyapunov stability theory, a novel T-S fuzzy control method is designed for the stability control of FOHGS. Thirdly, the relatively loose sufficient stability condition is acquired, which could be transformed into a group of linear matrix inequalities (LMIs) via Schur complement as well as the strict mathematical derivation is given. Furthermore, the control method could resist random disturbances, which shows the good robustness. Simulation results indicate the designed fractional order T-S fuzzy control scheme works well compared with the existing method. |
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| Keywords: | Hydro-turbine governing system Fractional order Robust T-S fuzzy control Linear matrix inequality Random disturbances |
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