This paper presents a simple approach for anti-windup synthesis for double integrator systems. The parameters of the anti-windup compensator can be chosen using simple linear-based guidelines which, nevertheless, also provide nonlinear stability guarantees. The results are constructed on the basis of a Popov-like sufficient condition presented in [1]. The advantage of the method is that design and redesign of the anti-windup compensator is exceptionally simple, requires no optimisation and yet offers the engineer great design transparency.