To improve the quality of life, utilization of commercial industrial robots has been successfully adopted and further developed in precise automation processes for a variety of applications, especially robotic assisted systems in surgery operation. In general, a robotic surgery implementation is at the need of a well-developed control technology and precision of the surgical tools. Hence, from both theoretical and practical aspects the problem of surgical robotics control is a challenging topic. The objective of this talk is to present some challenges and recent results on both classical and intelligent control of redundant surgical robot manipulators. Specifically, learning algorithms and optimization techniques under remote center of motion constraints are presented and then followed by model development for the surgical operation. The talk will be concluded with some concluding remarks on both technical and practical aspects of control schemes for surgical robotic systems.