Distributed Control of a Flexible Beam

Since the 1980s and 1990s, plenty of control methods and techniques have been introduced to deal with vibration problem of the flexible mechanical systems on several papers and books. In [1], by introducing feedback variables through a regulator, a state-feedback controller that contains a dynamic compensator is designed to stabilize the vibration of the flexible system. In [2], various control schemes for a single flexible robotic arm are considered and the improved control performance can be obtained by using a linear optimal controller, which verifies the efficiency of LQR optimal method. According to [3], the authors investigate the problem of synthesizing PID controllers for robust performance for a given single-input-single-output system.

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