The dynamics of conventional gain scheduling and local controller networks are subject to hidden coupling which introduces the requirement that the weighting functions be slow-varying. In this paper, two local PID controller network structures are developed, from the velocity-based and conventional local model network frameworks, respectively, which eliminate this hidden coupling term so that the dynamics of the global controller are not restricted by the blending functions. Thus the local properties can be guaranteed by the free choice of weighting functions. Simulation studies on a continuous stirred tank reactor confirm the analytical results.