The main intention of this study is to design the fuzzy impulsive observer-based output controller scheme for hybrid Takagi–Sugeno (T–S) fuzzy permanent magnet synchronous generator (PMSG) model. Initially, the non-linearities of the PMSG differential model is equivalently transformed into linear sub-models via T–S fuzzy approach. Then, the theoretical sufficient conditions are derived by utilising the Lyapunov stability theory. Distinct to the existing studies, the overall contributions of the present work is summarised as follows: (i) the paper proposes the impulsive controller, which is a combination of both continuous and discontinuous factors that can handle the uncertainties in a complex T–S fuzzy PMSG model. (ii) The time-dependent Lyapunov functional (based on parallel distributed compensation method) has introduced for the given model, and then the sufficient conditions are proposed as solvable linear matrix inequalities. The simulation concerning the industrial problem of PMSG model is validated with the proposed theoretical conditions that guarantee the global asymptotic stability performance of the chaotic model. © The Institution of Engineering and Technology 2019.