In this paper we present a theoretical approach to power control for ad-hoc wireless networks using sliding mode control theory. We allow user mobility, as well as addition of new links to the wireless network or removal of inactive links from the network. We derive a dynamic system based on the signal-to-interference ratio (SIR) of links in the network whose control input is related to the transmitted power, and show how sliding mode control theory is used to derive the power equations that lead to an equilibrium point where the link SIRs are optimized.
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