This paper presents a new attainability technique based on a polyhedral approach for hybrid systems. The main aim of the proposed technique is to obtain a robust-control closed loop system with attainable behavior under all possible and allowable disturbances. Moreover, and in contrast to existed approaches, this technique considers a new switching mechanism that allows the exploration of all different sub-models of piecewise affine systems that represent the interaction between continuous and discrete parts in the hybrid systems. The proposed technique is applied to a temperature control system to examine its ability in providing a reliable attainability.