On the ℒ1 Norm Minimization in Adaptive Control of Launch Vehicles

Articles in Press

Document Type : Research Paper

Authors
Naji Anees Muqdad Naji 1
Adrian-Mihail Stoica 2
1 Doctoral School of Aerospace Engineering, National University of Science and Technology Politehnica of Bucharest, Str. Gh. Polizu 1-7, Bucharest, Romania
2 Department of Aeronautical Systems Engineering and Aeronautical Management” Nicolae Tipei”, National University of Science and Technology Politehnica of Bucharest, Str. Gh. Polizu 1-7, Bucharest, Romania
10.22055/jacm.2025.48377.5191
Abstract
The present paper analyses an ℒ1 adaptive control procedure for the control of launch vehicles. A crucial step in the ℒ1 adaptive control design methodology is the minimization of the ℒ1-norm of a specific system, which depends on the launcher model and a stable filter. The lower this norm is, the better it guarantees robustness properties with respect to modeling uncertainties and parameter variations of the launcher dynamics. The paper focuses on determining a numerically reliable methodology for minimizing this norm. It is proven that the parameters of the optimal ℒ1 adaptive controller may be obtained by solving a specific system of matrix inequalities. The proposed procedure is illustrated and validated by a case study for the VEGA launch vehicle.
Keywords
ℒ1 adaptive controller
Rigid and flexible models of the launch vehicle
Parametric modeling uncertainties
System of matrix inequalities
Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Journal of Applied and Computational Mechanics

Articles in Press, Corrected Proof
Available Online from 29 December 2025