Differential Games of Stabilization
Last modified: 2010-03-30
Abstract
Pontryagin's theory of linear differential games [1] is a natural tool to solve local stabilization problems under conditions of uncertainty. In this work we develop stabilization methods based on the differential games approach. Differential games of stabilization [2] have some special characteristic features distinguishing them from other differential games. We discuss theoretical and computational aspects of this class of differential games. The main area of applications considered in this work is attitude stabilization of spacecrafts with unknown mass properties, mobile and flexible elements [3].
Bibliography:
[1] L. Pontrygin, Linear Differential Games of Pursuit, Mathematics of the USSR-Sbornik, 40, 1981, pp. 285-303.
[2] G. Smirnov, Introduction to the Theory of Differential Inclusions, Graduate Studies in Mathematics, vol. 41, American Mathematical Society, 2002.
[3] K. Yamada and S. Yoshikawa, Adaptive Attitude Control for an Artificial Satellite with Mobile Bodies, Journal of Guidance, Control and Dynamics, vol. 19, No. 4, 1996, pp. 948-953.