In this paper, we present ARMATURE, a peer-to-peer overlay that provides highly resilient communication service for critical infrastructure control. ARMATURE can encapsulate all control traffic, e.g. SCADA sessions, within secure and highly resilient transport tunnels. Herein, it does not rely on any particular ISP provisions and can use any available IP interface. Most importantly, the constructed overlay network is able to structurally reshape, i.e. to change its structural graph properties, to face different situations and to reunite otherwise conflicting service requirements. ARMATURE can be easily deployed in the current critical infrastructures to protect their monitoring and control communications.