Near-Optimal Guidance with Impact Angle and Velocity Constraints Using Sequential Convex Programming. (23rd October 2019)

• Record Type: Journal Article
• Authors: Pei, Pei; Wang, Jiang
• Other Names: Contento Alessandro Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-10-23
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/2065730
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper proposes a near-optimal air-to-ground missile guidance law with impact angle and impact velocity constraints based on sequential convex programming. A realistic aerodynamic model is introduced into the problem formulation, such that traditional optimization theory cannot obtain an analytical solution to the optimization problem under state constraints. The original problem is considered as an optimization problem, and the angle of attack is replaced with the angle of attack rate as a new control variable to reconstruct the problem and simplify the solving process. Next, the independent variable is changed in the differential equations to linearize and discretize the problem such that the reconstructed problem can be solved using sequential convex programming. The results obtained by numerical simulations confirmed that the proposed algorithm is valid and faster than the general-purpose nonlinear optimal control problem solver. Finally, it was verified that different impact angles and impact velocities were achieved.