Rendezvous and Docking Control of Satellites Using Chaos Synchronization Method with Intuitionistic Fuzzy Sliding Mode Control

Abstract

In this study, two different controllers have been designed to perform the rendezvous and docking tasks of two nonidentical and noncooperative cubic satellites. Firstly, the motion of cubic satellites was modeled with chaotic equations. After selecting suitable chaotic models, fuzzy sliding mode controller (FSMC) and a new intuitionistic fuzzy sliding mode controller (IFSMC), which are applied to synchronization systems under the same initial conditions, have been designed. It has been observed that both synchronizations reach stability by applying the controllers designed by considering the Lyapunov stability criteria. After a while, a short-term and random disturbance was applied to the synchronization systems and the response of both controllers was observed. The numerical results showed that the synchronization system with both controllers was stable, robust, efficient, fast and chattering-free. However, synchronization system with IFSMC was found to be more robust, faster and more efficient than synchronization system with FSMC.