Abstract
This paper presents an identification method using the total least squares method (the TLS method) for vibration modes of a mechanical system and a design method for vibration suppression control based on the identified numerical model. In driving the mechanical system with low rigidity, vibration caused by a mechanical resonance becomes a critical issue. Therefore, the identification of the vibration modes is necessary for the design of a high-performance control system. In this paper, the procedure of the identification method using the TLS method is described. The TLS method reaches the least squares solution, taking account of the measurement error. The model-matching method based on the identified numerical model is applied to design a two-degree-of-freedom velocity controller in discrete time system. Experimental results for a three-mass and a four-mass system are shown to demonstrate the performance of the proposed identification method and the proposed design method.
