Shape control of flexible structure using potential field method

A novel approach for shape control of flexible surface is presented. The main idea of this work is to develop a shape control algorithm using the potential field concept. The dynamical model derived for the flexible surface with embedded/bonded actuators is divided into two categories of having relative and absolute actuator points termed as relative and absolute pixels. The algorithm designed is used to control each individual pixels causing local deformation, which in turns causes global deformation of the flexible surface. Separate control laws are designed for relative and absolute pixels. The convergence of the control law is guaranteed using Lyapunov theory. Model parameter uncertainties of the flexible structure are also taken into account and the control law is modified accordingly. The effectiveness of the control algorithm is highlighted with the simulation results presented.