A control oriented approach is adopted for the implementation of a parametric fuzzy‐predictive control on a compact model of a generalised energy storage device implanted in a multi‐machine system. It is realised using a combination of a heuristic fuzzy logic control (HFLC) and a predictive step ahead control (PSAC) for energy storage reactive and real power modulation, respectively. While PSAC overcomes the computational burden innate to model predictive control, the HFLC with paramount simplicity lays down the design template for fuzzy control. Local bus measurements are translated into rate of change of frequency and voltage errors, while accommodating a second‐order dynamics of a phase locked loop. To emphasise the computational simplicity and implementation speed of the proposed technique, all parameters of the problem are solved explicitly. These parameters account for the input–output mapping structure consisting of membership spreads and rule base in fuzzy domain. In predictive control, while approximating the storage‐converter dynamics by a second‐order system, relevant expressions are derived for the parameters involved in the loop. Umbrella power system stabilisation, viz., high oscillation damping with quicker settling times, frequency‐nadir curtailment, power and voltage smoothing is assured with the parametric fuzzy‐predictive controlled energy storage.