This paper demonstrate some robustness guarantees to the linear parameter varying (LPV) stabilisation. The idea is to use the inherent robustness to unstructured perturbations facilitated by using the normalised plants. Some parameter dependent weights might be introduced in an open loop design to improve the achieved robustness/performance levels. The resulting gain-scheduled controller is obtained using convex optimisation solvers. To illustrate the technique, a Tokamak design example is presented.