Pole/Zero Cancellations in Flexible Space Structures
نویسندگان
چکیده
A practical objective in the control of flexible space structures is to minimize the effects of vibrational dynamics at certain specified points on a structure. State feedback can he used to address this question by creating closed-loop modes that are unobservable at these points and so do not contribute to the measured response. In the frequency domain, such modes correspond to pole/zero cancellations in the closed-loop system. This paper analyzes the problem of polehero cancellation in flexible structures, making full use of the second-order form of such systems. An explicit expression is derived for the unique state feedback gain with minimum norm that cancels all open-loop zeros. Furthermore, the properties of the residual poles that remain observable in the closed-loop system are studied, and their stability proven for the case of collocated sensors and actuators.
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