TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

HOME    ABOUT THIS JOURNAL    EDITORIAL BOARD    GUIDE FOR AUTHORS    CURRENT    JOURNAL ISSUES    CONTACTS

UDC 629.764

Technical mechanics, 2016, 4, 62 - 69

STABILITY MARGIN OF OPTIMIZATION SYSTEM OF ROTARY ROCKET MOTION

V. V. Avdeev

V. V. Avdeev
Dniepropetrovsk National University named after Oles Gonchar
Ukraine

      The research purpose is to make a quantitative assessment of the stability margin on the planes of characteristic polynomial roots, the two coefficients of the control law and amplitude-phase-frequency characteristic of the open-loop system using the numerical-analytical method. A control object is a rotary motion of a rocket as a rigid body in the plane considering inertia of autostabilizer but without a disturbed motion of the center of mass. The result of the research involves the seven assessments of the stability margin due to the coefficients of the motion equations and the control law. The research novelty consists in the fact that the control law includes summands proportional to all accountable state variables, in particular to angle and an angular velocity of the steering gear. Practical value of the results resides in the fact that the design takes in account the alternative quantitative assessments of the stability margin that is one of the basic requirements for the stabilization system.

control law, rotary motion, assessment of stability margin.

1. Igdalov I. M., Kuchma L. D., Polyakov N. V., Sheptun Yu. D. Dynamic Design of Rockets. Problems in Dynamics of Rockets and Space Stages: edited by Acad. S. N. Konyukhov. Dniepropetrovsk, 2010. 264 p. (in Russian)

2. Izenberg Ya. Ye., Sukhorebriy V. G. Design of Stabilization Systems for Space Launch Vehicles. Moscow, 1986. 224 p. (in Russian)

3. Avdeev V. V. Coefficients of errors in stabilization of rotary motion of rockets. Tekhnicheskaya Mekhanika. 2014. No 3. P. 71 - 78. (in Russian)

4. Avdeev V. V. Effects of control law and regulator time constant on stability margin of stabilization system of rotary rocket motion. Proceedings of Scientific Conference on Information Technologies for Control of Complex Systems (June 11-13, 2013, Dniepropetrovsk). P. 1 - 3. (in Russian)

5. Kuzovkov N. T. Stabilization Systems for Flying Vehicles (Ballistic and Anti-Aircraft Missiles). Moscow, 1976. 364 p. (in Russian)

6. Krasovsky A. A. Analytical Design of Control Contours of Flying Vehicles. Moscow, 1969. 240 p. (in Russian)

Copyright (©) 2016 V. V. Avdeev

Copyright © 2014-2018 Technical mechanics