H_∞制御理論の波動吸収制御への適用

抄録

The wave-absorbing control is a control concept to absorb or shunt waves travelling in a flexible structure at the actuators before the travelling waves form the standing waves, i. e., steady vibrations, which cause deterioration of the stringent performance of flexible structures. This paper presents an approach to designing a broadband compensator by applying the H_∞ control theory to the wave-absorbing control method. The present approach aims to minimize the effect of the incoming waves on the outgoing waves at the actuators in the sense of the H_∞ norm of a scattering matrix. An application example of the present approach is shown by designing a compensator for a cantilever beam which is controlled at the free end. The performance and features of the designed compensator are examined both in the frequency and time domains. Its robustness characteristics are also examined.