A numerical continuation method is used for bifurcation analysis of the complex behavior that appears in the attitude dynamics of rigid spacecraft as a result of switching logics in control system elements. Because the stability analysis of limit cycles is carried out in most circumstances, the application of the continuation method raises a number of issues when such aspects as nonlinearities that can not be approximated by differentiable functions and noninvertible input-output relations are taken into consideration. An approach based on the continuation of equilibrium points of the Poincare map for the analysis of dynamic systems with motion-dependent discontinuities is presented. Spacecraft configurations featuring single-axis control loops are investigated, where momentum wheels or reaction thrusters are used. In the latter case, the characterization of the dynamic behavior of a pulse-modulated control system is used as an example of the proposed methodology. The results show that the considered configurations can be successfully analyzed by the continuation technique, without performing extensive numerical simulation.
Bifurcation analysis of attitude dynamics in rigid spacecraft with switching control logics / Giulio, Avanzini; DE MATTEIS, Guido. - In: JOURNAL OF GUIDANCE CONTROL AND DYNAMICS. - ISSN 0731-5090. - STAMPA. - 24:5(2001), pp. 953-959. (Intervento presentato al convegno 9th Annual Space Flight Mechanics Meeting tenutosi a BRECKENRIDGE, CO nel FEB 07-10, 1999) [10.2514/2.4802].
Bifurcation analysis of attitude dynamics in rigid spacecraft with switching control logics
DE MATTEIS, GUIDO
2001
Abstract
A numerical continuation method is used for bifurcation analysis of the complex behavior that appears in the attitude dynamics of rigid spacecraft as a result of switching logics in control system elements. Because the stability analysis of limit cycles is carried out in most circumstances, the application of the continuation method raises a number of issues when such aspects as nonlinearities that can not be approximated by differentiable functions and noninvertible input-output relations are taken into consideration. An approach based on the continuation of equilibrium points of the Poincare map for the analysis of dynamic systems with motion-dependent discontinuities is presented. Spacecraft configurations featuring single-axis control loops are investigated, where momentum wheels or reaction thrusters are used. In the latter case, the characterization of the dynamic behavior of a pulse-modulated control system is used as an example of the proposed methodology. The results show that the considered configurations can be successfully analyzed by the continuation technique, without performing extensive numerical simulation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.