In this article, we study an energy-regulation trade-off that delineates the fundamental performance bound of a feedback control system over a noisy channel in an unreliable communication regime. The channel and process are modeled by an additive white Gaussian noise channel with fading and a partially observable Gauss-Markov process, respectively. Moreover, the feedback loop is constructed by designing an encoder with a scheduler and a decoder with a controller. Associated with this trade-off, we characterize an equilibrium at which neither the scheduler nor the controller has incentive to deviate from its policy. We argue that this equilibrium is a general one as it attains the global optimality in the presence of signaling (i.e., the process of exchanging implicit information through actions) and without any restriction on the information structure or policy structure.