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Spacecraft stability and control usi...

Nazari, Morad.

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Spacecraft stability and control using new techniques for periodic and time-delayed systems.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spacecraft stability and control using new techniques for periodic and time-delayed systems./
Author:	Nazari, Morad.
Description:	397 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-07(E), Section: B.
Contained By:	Dissertation Abstracts International75-07B(E).
Subject:	Engineering, Aerospace. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3579896
ISBN:	9781303837890

Spacecraft stability and control using new techniques for periodic and time-delayed systems.
Nazari, Morad.

Spacecraft stability and control using new techniques for periodic and time-delayed systems. - 397 p.

Source: Dissertation Abstracts International, Volume: 75-07(E), Section: B.

Thesis (Ph.D.)--New Mexico State University, 2013.

This dissertation addresses various problems in spacecraft stability and control using specialized theoretical and numerical techniques for time-periodic and time-delayed systems. First, the effects of energy dissipation are considered in the dual-spin spacecraft, where the damper masses in the platform ( P ) and the rotor ( R ) cause energy loss in the system. Floquet theory is employed to obtain stability charts for different relative spin rates of the subsystem R with respect to the subsystem P . Further, the stability and bifurcation of delayed feedback spin stabilization of a rigid spacecraft is investigated. The spin is stabilized about the principal axis of the intermediate moment of inertia using a simple delayed feedback control law. In particular, linear stability is analyzed via the exponential-polynomial characteristic equations and then the method of multiple scales is used to obtain the normal form of the Hopf bifurcation. Next, the dynamics of a rigid spacecraft with nonlinear delayed multi-actuator feedback control are studied, where a nonlinear feedback controller using an inverse dynamics approach is sought for the controlled system to have the desired linear delayed closed-loop dynamics (CLD).

ISBN: 9781303837890Subjects--Topical Terms:

1018395
Engineering, Aerospace.

Spacecraft stability and control using new techniques for periodic and time-delayed systems.
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020 $a 9781303837890
035 $a (MiAaPQ)AAI3579896
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100 1 $a Nazari, Morad. $3 3169069
245 1 0 $a Spacecraft stability and control using new techniques for periodic and time-delayed systems.
300 $a 397 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-07(E), Section: B.
500 $a Adviser: Eric A. Butcher.
502 $a Thesis (Ph.D.)--New Mexico State University, 2013.
520 $a This dissertation addresses various problems in spacecraft stability and control using specialized theoretical and numerical techniques for time-periodic and time-delayed systems. First, the effects of energy dissipation are considered in the dual-spin spacecraft, where the damper masses in the platform ( P ) and the rotor ( R ) cause energy loss in the system. Floquet theory is employed to obtain stability charts for different relative spin rates of the subsystem R with respect to the subsystem P . Further, the stability and bifurcation of delayed feedback spin stabilization of a rigid spacecraft is investigated. The spin is stabilized about the principal axis of the intermediate moment of inertia using a simple delayed feedback control law. In particular, linear stability is analyzed via the exponential-polynomial characteristic equations and then the method of multiple scales is used to obtain the normal form of the Hopf bifurcation. Next, the dynamics of a rigid spacecraft with nonlinear delayed multi-actuator feedback control are studied, where a nonlinear feedback controller using an inverse dynamics approach is sought for the controlled system to have the desired linear delayed closed-loop dynamics (CLD).
520 $a Later, three linear state feedback control strategies based on Chebyshev spectral collocation and the Lyapunov Floquet transformation (LFT) are explored for regulation control of linear periodic time delayed systems. First, a delayed feedback control law with discrete delay is implemented and the stability of the closed-loop response is investigated in the parameter space of available control gains using infinite-dimensional Floquet theory. Second, the delay differential equation (DDE) is discretized into a large set of ordinary differential equations (ODEs) using the Chebyshev spectral continuous time approximation (CSCTA) and delayed feedback with distributed delay is applied. The third strategy involves use of both CSCTA and the reduced Lyapunov Floquet transformation (RLFT) in order to design a non-delayed feedback control law. The delayed Mathieu equation is used as an illustrative example in which the closed-loop response and control effort are compared for all three control strategies.
520 $a Finally, three example applications of control of time-periodic astrodynamic systems, i.e. formation flying control for an elliptic Keplerian chief orbit, body-fixed hovering control over a tumbling asteroid, and stationkeeping in Earth-Moon L1 halo orbits, are shown using versions of the control strategies introduced above. These applications employ a mixture of feedforward and non-delayed periodic-gain state feedback for tracking control of natural and non-natural motions in these systems. A major conclusion is that control effort is minimized by employing periodic-gain (rather than constant-gain) feedback control in such systems.
590 $a School code: 0143.
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Applied Mathematics. $3 1669109
690 $a 0538
690 $a 0548
690 $a 0364
710 2 $a New Mexico State University. $3 783784
773 0 $t Dissertation Abstracts International $g 75-07B(E).
790 $a 0143
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3579896