Simulation of a swarm of nanosatellites PARASOL ( based on MIMO communication ) control system model via Linear Quadratic Regulator (LQR)

The deployment of swarms consisting of unmanned aerial vehicles and spacecraft has recently attracted significant attention across multiple fields, ranging from spacecraft coordination to emergency response operations. The techniques associated with swarming introduce novel challenges, especially in formulating strategies for effective swarm organization and preserving their intended formations. Developing an advanced simulation to control a swarm of 15 nanosatellites using a Linear Quadratic Regulator (LQR) involves several important steps that go beyond the initial scheme. A comprehensive approach requires a deep understanding of orbital mechanics and in particular the challenges presented by the nanosatellite platform. Our work focuses on simulating the attitude control of PARASOL nanosatellite in a swarm using the Matlab/Simulink environment. Firstly, was provided a mathematical model for the relative coordinates of a nanosatellite swarm. Secondly, a mathematical model of the LQR implementation in the relative navigation was developed. Thirdly, the attitude control of the 15 nanosatellites using the Matlab/Simulink environment was simulated. Finally, by providing the swarm scenario and attitude control system data it can be affirmed that simulation of an attitude control system for 15 nanosatellites using an LQR controller in Swarm successfully demonstrated the stabilization capabilities essential for swarm operations in space environments. As results a table each nanosatellite configured for MIMO communication was shown and the link video of the simulation was given.