Design & development of a mathematical model for constructing a straight-line motion / trajectory for any mechanical robotic manipulator using bounded deviation concept along with its simulation by knot points

Abstract In this paper is provided, along with its simulation with knot points, a design and development of a mathematical model to create a straight-line motion and trajectory for any mechanical robotic handler using the boundary deviation principle. Here in the 3-dimensional Euclidean space, an algorithm for direct line motion is designed. An algorithm called the Constricted Non-conformity Algorithm (CNA) is introduced that to achieve a straight line, it can be used (the shortest path between the source & the target) through any type of robot (whether stationary robots or mobile robots). When the computer has been processed, this algorithm supplies the software interface for the mechanical robot. To get the robot to drive within the shortest distance situation, the mathematical model is used for straight line motion. C++ also executes a simulation to demonstrate the workings of the algorithm. A computational validation is often done by doing a case study to find a midpoint. The outcome of the simulation demonstrates how effective the technique is.