학술논문

Exponential stabilization of vibration for a large space structure with distributed and lumped flexibility
Document Type
Conference
Source
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Decision and control Decision and Control, 1999. Proceedings of the 38th IEEE Conference on. 1:657-662 vol.1 1999
Subject
Robotics and Control Systems
Computing and Processing
Open loop systems
Damping
Springs
Convergence
Output feedback
Vibration control
Absorption
Stability
Control systems
Distributed parameter systems
Language
ISSN
0191-2216
Abstract
In this paper, we consider two flexible beams connected by a spring as a simple example of the large space structures. The flexible beams and the spring can be regarded as an element of the structure with the distributed flexibility and a connective part with lumped flexibility, respectively. As we introduce Voigt type damping, the original open-loop system is exponential stable. In general the natural damping coefficient is very small, so it is necessary to construct a controller which accomplishes higher convergence rate. We propose a direct sensor output feedback controller for vibration absorption. Using the Energy Multiplier method, exponential stability of the closed-loop system is proven. We also prove that the exponential convergence rate for the closed-loop system, which means the controller performance, is larger than that of the open-loop system with the small natural damping. As we don't need an approximated finite-dimensional model at the controller design phase, the controller based on the original distributed parameter system is robust and simple.