Decentralized dynamic nonlinear controllers to minimize transmit power in cellular networks, Part I

We consider the problem of synthesizing decentralized transmit power control for finite-gain stable cellular code division multiple access (CDMA) networks subject to saturation constraints on the mobile transmit powers. We show that the passivity theorem and an extension of the Zames–Falb multipliers can be used to synthesize the required distributed decentralized nonlinear dynamic controllers, to be implemented at the base station and at the mobile users, including a multi-input–multi-output (MIMO) anti-windup controller that can be implemented on the mobile hand-sets.