Nonlinear Modeling of Spacecraft Relative Motion in the Configuration Space

A reduced-input system problem is formed with the objective of preserving system input–output properties. For exogenous inputs, a reduced-order input system H∞ norm is maximized and an analytic solution is given. For control inputs, a reduced-order input system Hankel norm is maximized. Necessary conditions for the Hankel norm maximization are stated and an iterative solution is proposed. Although global convergence cannot be guaranteed, many practical applications have shown the achieved maxima to be very close to a known upper bound.

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