Abstract

Multilevel stabilization schemes for high order linear systems are proposed in the framework of the decomposition-aggregation method used so far for stability analysis of large-scale systems by vector Liapunov functions. In one scheme, the output feedback is applied and the control parameters are determined for low order subsystems to produce a stable aggregate model for the overall system. When system inputs are decentralized such that each subsystem has a distinct input, and states are available for control, another scheme is proposed which has a multilevel structure with local and global controllers. Both stabilization schemes are aimed at the maximization of structural parameters which couple the subsystems. An 11th-order linear model of a spinning flexible spacecraft is stabilized by the proposed decomposition-aggregation method using both the passive and the active stabilization devices. The method can take advantage of the special structural features of the model to provide the best estimate of the stability region for a salient parameter which couples the wobble and the spin motion of the spacecraft.

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