This thesis concerns the development of a robotic control framework for quantitative ultrasound elastography. Ultrasound elastography is a technology that unveils elastic parameters of a tissue, which are commonly related with certain pathologies. This thesis proposes three novel robotic approaches to assist examiners with elastography. The first approach deals with the control of a robot actuating an ultrasound probe to perform palpation motion required for ultrasound elastography. The elasticity of the tissue is used to design a servo control law to keep a stiff tissue of interest in the field of view of the ultrasound probe. Additionally, the orientation of the probe is controlled by a human user to explore other tissue while elastograph...