High-speed visual servo systems are used in an increasing number of applications. Yet modeling and optimizing these systems remains a research challenge, largely because these systems consist of tightly-coupled design parameters across multiple domains, including image sensors, vision algorithms, processing systems, mechanical systems, control systems, among others. To overcome such a challenge, this work applies an axiomatic design method to the design of high-speed visual servo systems, such that cross-domain couplings are explicitly modeled and subsequently eliminated when possible. More importantly, methods are proposed to model the sample rate, measurement error, and delay of visual feedback based on design parameters across multiple domains. Lastly, methods to construct a holistic model and to perform cross-domain optimization are proposed. The proposed methods are applied to a representative case study that demonstrates the necessity of cross-domain modeling and optimization, as well as the effectiveness of the proposed methods.@en