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The goal of this paper is to consider a co-design approach between the controller of a process control application and the frame scheduling of a Local Area Network (LAN). More precisely we present a bi-directional relation between the Quality of Control (QoC) provided by the controller and the Quality of Service (QoS) provided by the LAN (relation noted QoS⇋QoC). We present, first, the implementation of the relation QoS→QoC on the basis of a compensation method for time delays called dominant pole method, and second, the implementation of the relation QoC→QoS on the basis of the hybrid priorities for the frame scheduling. The final objective is the implementation of the bidirectional relation QoS⇋QoC which is the combination of the both relations QoS→QoC and QoC→QoS in order to have a more efficient NCSs design.