Violation learning differential evolution-based hp-Adaptive pseudospectral method for trajectory optimization of Space Maneuver Vehicle

The sensitivity of the initial guess in terms of optimizer based on hp-adaptive pseudospectral method for solving Space Maneuver Vehicles (SMV) trajectory optimization problem has long been recognised as a difficult problem. Because of the sensitivity with regard to the initial guess, it may cost the solver a large amount of time to do the Newton iteration and get the optimal solution or even the local optimal solution. In this paper, to provide the optimizer a better initial guess and solve the SMV trajectory optimization problem, an initial guess generator using violation learning deferential evolution algorithm is introduced. A new constraint-handling strategy without using penalty function is presented to modify the fitness values so that the performance of each candidate can be generalized. In addition, a learning strategy is designed to add diversity for the population in order to improve the convergency speed and avoid local optima. Several simulation results are conducted by using the combination algorithm; Simulation results indicated that using limited computational efforts, the method proposed to generate initial guess can have better performance in terms of convergency ability and convergency speed compared with other approaches. By using the initial guess, the combinational method can also enhance the quality of the solution and reduce the number of Newton iteration and computational time. Therefore, The method is potentially feasible for solving the SMV trajectory optimization problem.