There are two folds of my research, 1) I work on the actual data-based modeling where using different methods construction of mathematical models and their analyze is the core idea. This was my research in M.Phil and two papers have published so far. 2) The second fold is a modern technological field where mathematical algorithms are used to control the systems and minimization of their uncertainty using Adaptive techniques. Nonlinear systems need such techniques. I have used the novel Fixed Point Transformation (FPT) technique adaptively to control the system models and robots. In this field so far 13 papers have been published and three were submitted.