Abstract

In this study, we will present the dynamical analysis for permanent magnet synchronous motors (PMSM). Our goal is to identify an ellipsoid that contains the state trajectory of the system in as small a form as possible in the presence of control. First, we designed the non-fragile sampled-data fuzzy controller (NFSDFC) for the PMSM model. Second, the Lyapunov-Krasovskii functional (LKF) strategy, novel integral inequality mechanisms, and certain sufficient conditions are determined, which ensure an ellipsoidal bound of reachable sets for the closed-loop of a system with input constraints derived in terms of linear matrix inequalities (LMIs). Meanwhile, under the larger sampling interval, the corresponding sampled-data controller gains are designed. Finally, numerical examples are given to validate the derived theoretical results.

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