Reliable Fuzzy H_∞ Control for Permanent Magnet Synchronous Motor Against Stochastic Actuator Faults

Abstract

This article examines the issue of reliable fuzzy H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control with permanent magnet synchronous motor (PMSM) and stochastic actuator faults. The principle target of modeling the reliable control for PMSM is to improve the performance of PMSM in terms of speed of response, tracking accuracy, and robustness. In contrast to work found in the literature, the proposed dynamic model of a PMSM the load torque variation acts as disturbances, speed control strategy is developed based on the Takagi-Sugeno (T-S) fuzzy model and stochastic actuator faults are considered which is more practical and challenging. In such a manner, first, the nonlinear PMSM model is altered into corresponding linear submodels through the sufficient T-S fuzzy membership rules. Then, based on the obtained dynamic model, reliable H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control is designed for the considered PMSM. By executing an appropriate Lyapunov-Krasovskii (L-K) functional together with linear matrix inequality (LMI) optimization procedure, Wirtinger-based integral inequality approach, and arrangement of the delay-dependent adequate condition is determined which ensures that the closed-loop PMSM is robust asymptotic stable. Based on the acquired condition, the controller gains are derived by solving a set of LMIs. At last, the simulation results are depicted to validate the efficiency of our presented control method.