Aircraft's equivalent matching method using improved NSGA-II algorithm

Aim. The introduction of the full paper reviews some papers in the open literature and points out their shortcoming: with the traditional aircraft's equivalent matching method, the responses of time domain and frequency domain cannot be considered simultaneously. In the last paragraph of the introduction, we propose what we believe to be a better method, which is explained in section 1. Its six subsections are entitled respectively: basic NSGA-II algorithm, selection of objective functions, improving the elitism reservation strategy, adaptive simulated binary crossover (ASBX) operator, polynomial mutation operator and the procedural steps of the improved NSGA-II algorithm. The core of subsection 1.2 is that we use the multi-objective optimization method to better match the time domain and frequency domain of a flight control system with the two objective functions as given in eqs. (1) and (3). The core of subsection 1.3 is that we reserve the desired optimal solutions with eq. (4) so as to improve the elitism reservation strategy and make convergence more rapid. Section 2 uses a numerical simulation example to apply our improved NSGA-II algorithm to aircraft's equivalent matching. The simulation results, given in Figs. 3 and 4, and their analysis show preliminarily that our improved NSGA-II algorithm makes convergence faster and can match the response of time domain with that of frequency domain at the same time.