The purpose of this paper is to propose a synthesis method of multiple parametric Sensitivity constrained Linear Quadratic (SLQ) controllers for a parametric uncertain LTI system. System sensitivity to parameter variation, for each controller, is handled through an additional quadratic trajectory parametric sensitivity term in the criterion to be minimized. The controllers are supposed to cover the whole parametric uncertainty while degrading as less as possible the intrinsic robustness properties of each local linear quadratic controller. In that context, it is difficult to ensure the global optimality. Hence an efficient Particle Swarm Optimization (PSO) based algorithm is provided to find the best partition of the uncertainty set as well as the set of SLQ controllers.