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Space mission success depends on adequate attitude control system performance. High precision pointing control design for flexible spacecraft with large appendages requires special care (Yamada & Yoshikawa, 1996; Nagashio, 2010). Many linear control schemes such as LQR, LQG, QFT, H∞, and μ-synthesis have been used to guarantee robust stability against both vibrations and parameter uncertainties. Future advanced space missions will involve control system design techniques with novel architectures, technologies, and algorithms. Next generation of microcomputers will allow one to use more sophisticated control algorithms. Pontryagin’s theory of linear differential games (Pontryagin, 1981) is a natural tool to solve local stabilization problems under conditions of uncertainty. The correspondingmathematical model involves a linear differential equation

Linear Differential Games and High Precision Attitude Stabilization of Spacecrafts with Large Flexible Elements