Optimal Control Problem Definition and State-Space Simulation of Flexible Mechanical Plant Dynamics

Authors

  • V. V. Bulaev "Scientific & Production Association of Automatics named after the academician N.A. Semikhatov" JCS
  • A. Yu. Goranov "Scientific & Production Association of Automatics named after the academician N.A. Semikhatov" JCS

DOI:

https://doi.org/10.14529/ctcr150410

Keywords:

state-space, motion stabilization, optimal control, discrete-time model, flexible mechanical plant

Abstract

This paper provides the description of main existing optimal control theory problems. Also the key features of an optimal control problem for spacecraft and launch vehicles are identified. The authors pose the problem of formation of linear discrete-time mathematical model based on continuous-time model described by linear inhomogeneous nonstationary differential equations system. A first-stage launch vehicle “Soyuz-2.1v” perturbed motion model with additional degrees of freedom (flexible body fluctuations and slosh modes fluctuations in the fuel tanks) in pitch plane is considered. Continuous-time model in vector-matrix explicit canonical form is composed. The sampling of continuous-time model is performed, sampling method is described. Comparative response analysis of the continuous-time and discrete-time models is produced.

Author Biographies

V. V. Bulaev, "Scientific & Production Association of Automatics named after the academician N.A. Semikhatov" JCS

инженер-конструктор отдела стабилизации

A. Yu. Goranov, "Scientific & Production Association of Automatics named after the academician N.A. Semikhatov" JCS

инженер-конструктор отдела стабилизации

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Published

2015-12-02

Issue

Section

Systems of navigation and control of aerospace equipment