Open AccessMemory‐based ISMC design of DFIG‐based wind turbine model via T‐S fuzzy approach
Author(s) -
Subramaniyam Ramasamy,
Joo Young Hoon
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12047
Subject(s) - control theory (sociology) , nonlinear system , fuzzy logic , linear matrix inequality , computer science , sliding mode control , mathematics , mathematical optimization , control (management) , physics , artificial intelligence , quantum mechanics
This paper investigates the memory‐based integral sliding mode control (SMC) design for nonlinear doubly fed induction generator model. The proposed nonlinear doubly fed induction generator model is equivalent to linear sub‐systems via fuzzy membership functions by utilising the Takagi–Sugeno fuzzy approach. Then, a memory‐based sliding surface is intended, which is different from the conventional sliding surface. Based on suitable Lyapunov functionals and slack matrices, sufficient conditions are obtained, which guaranty the memory‐based Takagi–Sugeno fuzzy system to be globally asymptotically stable under the designed memory‐based sliding mode control through linear matrix inequality. Further, the desired memory‐based fuzzy SMC control gain is obtained by solving the concerned linear matrix inequality. Also, a memory‐based SMC law and an adaptive SMC law are incorporated to make the system state trajectories onto the pretend sliding switching manifold in a finite‐time. The derived conditions are verified in the numerical section with the nonlinear doubly fed induction generator model, which are formulated for reflecting the characteristics of the proposed wind turbine model.