Memory Sampled-Data Control for T–S Fuzzy-Based Permanent Magnet Synchronous Generator via an Improved Looped Functional

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
$\mathbf {x}(t_{k})$
to
$\mathbf {x}(t)$
and
$\mathbf {x}(t)$
to
$\mathbf {x}(t_{k+1})$
together with the signal transmission delay. In addition, the ILF introduces a fractional parameter
$0 < \hat {\beta } < 1$
that gives more information of splited sampling intervals. Also, the external disturbances of the proposed system are attenuated by using the
$H_{\infty }$
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.