Multidisciplinary modeling and simulation framework for launch vehicle system dynamics and control

On modeling and dynamics of a multiple launch rocket system

“…(2) (5) where U all is the overall transfer matrix of the MLRS; z all is a column matrix consisting of the state vectors of all system boundary points; U j ð j ¼ 2; 5; 8; 11; 14; 17; 21; 23Þ is the transfer matrix of the rigid body with single input end and single output; and U k (k = 1, 3,4,6,7,9,10,12,13,15,16,18,20,22) is the transfer matrix of the acceleration hinge. Their detailed expressions and the corresponding parameters can be found in Rui et al 27 Substituting the boundary conditions of the MLRS…”

“…Generally, the MLRS dynamics modeling and analysis methods include the Newton-Euler method, 7 Lagrange method, 8,9 Kane method, 10,11 Huston method, 12 and methods using software such as Ansys, 13,14 Abaqus, 15 Adams, 16,17 RecurDyn, 14 and Modelica. [18][19][20] As a sophisticated multibody system, the difficulty of studying MLRS dynamics lies in the interactions and couplings of the launcher, the carrier, and the rocket. The dynamic analysis of the MLRS developed slowly before the advent of modern analog and digital computers.…”

“…Launch vehicle multibody dynamics modeling established with Kane's formalism were given, which is identical to that obtained by using a Newton-Euler formulation. 26 Briese et al 18,20 presented dedicated 3-DOF and 6-DOF model implementations, covering the kinematics and dynamics formulation, environmental effects, aerodynamics, and propulsion models for a launch vehicle system based on the object-oriented, multidisciplinary, and equation-based modeling language Modelica. All these works benefited from the continuous improvement of MSD theory.…”

Guidance command generation and nonlinear dynamic inversion control for reusable launch vehicles

“…These guidance reference commands are generated via combination of the trajectory optimization package trajOpt with nonlinear models implemented with the object-oriented, equationbased, multi-physical, and acausal modeling language Modelica, which is briefly introduced in the next subsection. The Modelica models used in this study regarding trajectory optimization (3-DOF) and trajectory tracking with nonlinear control (6-DOF), together with their implementation using an advanced launch vehicle modeling framework are presented in more detail in [43,44].…”

Multidisciplinary Design Optimization of Reusable Launch Vehicles for Different Propellants and Objectives

“…Balesdent et al [21] studied, among other things, the influence of technological uncertainties (e.g., new propellant combinations or reusable rocket engines) on the design process of future launch vehicles. Briese et al [22] presented a modular multidisciplinary modeling framework for reusable launch vehicles with a particular focus on the trajectory optimization of the ascent and descent phases. On a component level, Vietze et al [23] developed a toolbox to optimize the structure, geometry, and thermal protection system of a cryogenic launcher stage.…”