Memory Sampled-Data Control for T–S Fuzzy-Based Permanent Magnet Synchronous Generator via an Improved Looped Functional
Sathiyamoorthi Arthanari, Young Hoon Joo
Abstract
This study presents a memory sampled-data control design for the Takagi–Sugeno (T–S) fuzzy-based permanent magnet synchronous generator (PMSG) via an improved looped functional (ILF). To do this, first, the nonlinear PMSG is modeled as a T–S fuzzy system. Then, to derive the sufficient criteria, a novel ILF is proposed, which includes the available information about the sampling pattern characteristics from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {x}(t_{k})$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {x}(t)$ </tex-math></inline-formula> and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {x}(t)$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {x}(t_{k+1})$ </tex-math></inline-formula> together with the signal transmission delay. In addition, the ILF introduces a fractional parameter <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$0 < \hat {\beta } < 1$ </tex-math></inline-formula> that gives more information of splited sampling intervals. Also, the external disturbances of the proposed system are attenuated by using the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance. Furthermore, the stabilization conditions expressed as linear matrix inequalities (LMIs), the proposed closed-loop system’s asymptotic stability is ensured under the designed controller. Finally, comparison and simulation results demonstrate the effectiveness and feasibility of the proposed method and the designed control scheme.