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Robust ${H}_{\infty }$ control design for the space station with structured parameter uncertainty. (English) Zbl 0751.93029
Summary: A robust ${H}_{\infty }$ control design methodology and its application to a Space Station attitude and momentum control problem are presented. This new approach incorporates nonlinear, multiparameter variations in the state-space formulation of ${H}_{\infty }$ control theory. An application of this robust ${H}_{\infty }$ control synthesis technique to the Space Station control problem yields a remarkable result in stability robustness with respect to the moments-of-inertia of about 73% in one of the structured uncertainty directions. The performance and stability of this new robust ${H}_{\infty }$ controller for the Space Station are compared to those of other controllers designed using a standard linear quadratic regulator synthesis technique.
##### MSC:
 93B51 Design techniques in systems theory 93B35 Sensitivity (robustness) of control systems 93D09 Robust stability of control systems
##### Keywords:
momentum control problem; stability robustness