This paper develops new classes of CDMA power control designs by exploiting passivity properties of a gradient-type algorithm proposed in the literature. The new control algorithms offer further design-flexibility, which can be exploited for improved performance and robustness. In our first design, we extend the base station algorithm with Zames-Falb multipliers which preserve its passivity properties. In our second design, we broaden the mobile power update laws with more general, dynamic, passive controllers.