تصمیم‌گیری پیکربندی بهینه‌ی هواپیما با استفاده از نظریه‌ی بازی چند بعدی

As multi-discipline coupling and components interference often affect the aircraft configuration decision-making and analysis during conceptual design process, this article presents an approach of multidimensional game theory based on aircraft components to deal with this problem. The idea is that the configuration decision-making process is regarded as the game for different disciplines and technologies, and the aircraft components are players. The payoff function with highest total gain means that according to the game protocols and multidimensional theory, the optimal aircraft configuration within the strategy set will be chosen. The decision-making model is applied to conceptual design process of the high altitude long endurance (HALE) unmanned aerial vehicle (UAV) based on the assessment of technological risk. The obtained optimum configuration is quite consistent with the current HALE UAV development trends. Thus, taking into account the coupling and interference factors, the multidimensional gaming model based on aircraft components will be an effective analysis method in the decision-making process of aircraft optimum configuration.

From the relationship between the degree of freedom and cost of design in the aircraft design process[1], we can see that the configuration decision-making has an important influence on the design progress. At present, the selection of aircraft configuration is mainly based on the experiences of senior experts or expert systems. The aircraft is a huge system, many factors such as classical mechanics, aerodynamics, structural mechanics, control theory, aesthetics, etc. need to be considered during its design, so the configuration inference and decision-making process based on experts or expert systems is very complicated and the efficiency is often degraded. As a branch of applied mathematics, the game theory has been applied widely to the areas of economics, biology, politics, etc., such as “Prisoners Dilemma” and “Pigs Payoffs”. Game theory is a decision-making method between players who interact with and depend on each other. Based on the comparability between aircraft design and game theory, some researches on gaming in aircraft design and analysis process have been made[2-3]. These researches are mainly focused on the issues of multi-discipline optimization and tactics flight. But few are concerned with the conceptual configuration decision-making. So according to the influences of the component design, location and interferences on the performances of key disciplines and technological risk, a multidimensional gaming model is established for the aircraft optimum configuration decision- making process in this article.

The contribution of this article is to introduce an efficient aircraft configuration decision-making method. It has three characteristics mainly: (1) Based on the comparison between decisionmaking and game theory, the multidimensional game theory is employed in the process of aircraft decision- making, and an effective approach is afford to choose optimum configuration. (2) Compared with present decision-making methods, aircraft components interference is taken into account in this article, and the decision-making result is more credible.(3) In aircraft decision-making process, the assessment of technological risk makes this method more close to practical design. By taking the HALE UAV as an example, the feasibility of this decision-making method is verified and the results agree well with the developmental trends of the HALE UAV and the sensor craft.