Applying multi-objective optimization approaches to design an optimal controller for orbital docking by consideration of actuators dynamics and comparing results

The final phase of orbital rendezvous and docking has been studied in this article. The main objective is to control the position of a chaserthat can reach to the target in the minimum time, or in the other words, by passing the optimal path.Another important objective of this paper is the minimum energy consumption. In dynamic simulation, the equations of the linear form of Clohessy-Wiltshire (CWH) equationshave been utilized. In linear CWH equations, the change in either direction of X or Y will result the change in another direction and will affect the orbitaldocking operation. Inorder to achieve the objectives of this paper, the design variables should be optimized; To optimize the design variables, two methods i.e. genetic algorithm (GA) and particle swarm optimization (PSO) have been used. Finally, to evaluate the real conditions, the results will be investigated by applying uncertainty in the outputs of thrusters.