Bilevel alternating direction iteration trajectory optimization for hypersonic morphing vehicles

A bilevel iterative mixed-integer optimal control problem (MIOCP) algorithm based on the alternating direction method and sequential convex optimization is developed to solve the trajectory optimization problem of hypersonic morphing vehicles with discrete morphing modes. The algorithm introduces co...

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Bibliographic Details
Published in:	Aerospace science and technology Vol. 166; p. 110542
Main Authors:	Xu, Ziqi, Cheng, Lin, Gong, Shengping
Format:	Journal Article
Language:	English
Published:	Elsevier Masson SAS 01.11.2025
Subjects:	Alternating direction iteration Mixed-integer optimal control Sequential convex programming Trajectory optimization Alternating direction iteration Sequential convex programming Mixed-integer optimal control Trajectory optimization
ISSN:	1270-9638
Online Access:	Get full text
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Summary:	A bilevel iterative mixed-integer optimal control problem (MIOCP) algorithm based on the alternating direction method and sequential convex optimization is developed to solve the trajectory optimization problem of hypersonic morphing vehicles with discrete morphing modes. The algorithm introduces continuous relaxation variables to approximate the discrete control variables in MIOCP, decoupling them from the optimization objectives and dynamics of the original problem. It can be proven that the derived auxiliary problem provides a partial optimality to the initial problem. In the outer loop of the algorithm, discrete and continuous controls are alternately updated, avoiding the coupled solving of large-scale discrete and continuous variables. In the inner loop, the sequential convex optimization method utilizes linearization and discretization techniques to construct and solve a series of subproblems, addressing the continuous optimal control problem with fixed discrete variables. Simulations demonstrate the effectiveness and robustness of the algorithm, as well as its advantage in runtime performance. •A bilevel alternating iterative trajectory planning algorithm is proposed for hypersonic morphing vehicles.•The partial optimality of the proposed algorithm is theoretically established.•Numerical simulations are conducted to verify and discuss the effectiveness of the trajectory planning method.
ISSN:	1270-9638
DOI:	10.1016/j.ast.2025.110542