The concern of researchers, doctors and psychologists is increasingly oriented towards ensuring comfortable living conditions for people with various deficiencies. The paper highlights result of research on the development of an integrated robotic system for people with lower limb disability so that they can move, relatively independently, within the perimeter of their environment. New method of advanced intelligent control of Anthropomorphic Walking Robots (AWR) stability through a flexible algorithm based on force-position and neutrosophy is developed. The stability control and obstacle avoidance are done in original efficient way by positioning, orienting, braking the landing movement of the leg and dampening the contact of the heel with the support surface. The innovative design, model and simulation of the Mobility Assistive Robotic System (MARS) for people with lower limb disability prove high availability of movement, high mobility of mechanical assemblies under conditions of stability. Even there is lot of engineering involved high importance has been given to the background collaboration with doctors.