Exponential Stabilization of Vibration for a Large Space Structure with Distributed and Lumped Flexibility.

概要

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In this paper, we discuss a simple controller for a large space structure with distributed and lumped flexibility based on a distributed parameter model. As a typical example of large space structures, we consider two flexible beams connected by a spring. The flexible beam and the spring can be regarded as an element of the structure with the distributed flexibility and a connective part with uncertain lumped flexibility, respectively. We propose a sensor output feedback controller for vibration absorption. Using the Energy Multiplier method, we prove the exponential stability of the closed-loop system. As we introduce voigt type damping, the open-loop system is exponential stable. If the damping coefficient is small, we prove that the exponential convergence rate for the closed-loop system, that means performance of controllers, is larger than that of the open-loop system. As we do not need an approximated finite-dimensional model at the controller design phase, the controller based on the original distributed parameter system is robust and simple.
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