The design of a model-free fuzzy power system stabiliser (PSS) lacks systematic stability analysis and performance guarantees. This paper provides a step towards the design of a model-based fuzzy PSS that guarantees not only stability, but also performance specifications of power systems. A new practical and simple design based on static output feedback is proposed. The design guarantees robust pole clustering in an acceptable region in the complex plane for a wide range of operating conditions. A power system design model is approximated by a set of Takagi-Sugeno (T-S) fuzzy models to account for non-linearities, uncertainties and large-scale power systems. The proposed PSS design is based on parallel distributed compensation (PDC). Sufficient design conditions are derived as linear matrix inequalities (LMIs). The design procedure leads to a tractable convex optimisation problem in terms of the stabiliser gain matrix. Simulations results of both single machine and multimachine power systems confirm the effectiveness of the proposed PSS design.