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Synthesis of proportional-plus-derivative feedbacks for descriptor systems

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1 Author(s)
Le, V.X. ; Hughes Aircraft Co., Los Angeles, CA, USA

A construction for proportional-plus-derivative (PD) feedback for descriptor (or singular) systems is given. It is shown that, under the assumption of controllability of the open-loop finite and (dynamic) infinite modes, feedback employing states and state derivatives can be constructed to shift all open-loop modes (finite as well as infinite) to desired finite points while ensuring the regularity of the closed-loop pencils. The construction reveals that the required state-derivative feedback is specified completely by the open-loop dynamic infinite-mode structures of the descriptor systems. This class of PD feedback circumvents certain difficulties associated with the construction for constant state-feedback

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Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 5 )