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Ningbo Li [1; 2] and Humin Lei [1] and Lei Shao [1] and Tao Liu [1] and Bin Wang [1]

Academic Editor: William MacKunis

1, Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China, afeu.cn

2, School of Electronic and Information Engineering, Xi’an Jiao Tong University, Xi’an 710049, China, xjtu.edu.cn

Received Feb 1, 2017; Accepted Apr 18, 2017

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

1. Introduction

Beyond visual range (BVR) combat is being the main form of future air combat [1–3]. Developing the missile with BVR combat capability by improving the existing medium range missile has great practical significance. Considering the existing propulsion capability, we can effectively increase the range by trajectory optimization.

Trajectory optimization has been a hot research topic in the field of aircraft guidance and control. Many scholars have studied it in view of the different background.

Considering the long range of the flight, problems such as structural strength, normal work of the engine, and control stability give rise to strict requirements on the dynamic pressure, overload, control, and other characteristics of the process. Therefore, trajectory optimization of the air-to-air missile can be regarded as a complex nonlinear optimization problem.

With the development of computer technology, the direct method based on parameterization has developed remarkably [4–6]. This method converts the optimal control problem of continuous time into NLP problem and then solves it by NLP solver, such as the sequential quadratic programming (SQP) [7], which is recognized as the best solving method for NLP problem.

During last decades, pseudospectral methods have been a research hotspot in the domain of trajectory optimization [8, 9]. In this method, the control and state are firstly discretized at certain collocation points in the time interval of interest, which are then approximated by polynomial interpolation. Finally, the optimal control problem is transformed into NLP problem which can be solved by NLP solver. Different pseudospectral methods select different collocation points and base functions of interpolation. In Huntington et al. [10], three kinds of commonly used pseudospectral methods, Legendre, Radau, and Gauss, were compared. The computational efficiency of the three methods is...

 

 

 

 

   

 

    

    

  

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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