A straightforward method for tuning of Lyapunov-based controllers in semi-active vibration control applications

HERNÁN GARRIDO; OSCAR CURADELLI; DANIEL AMBROSINI

JOURNAL OF SOUND AND VIBRATION

ACADEMIC PRESS LTD-ELSEVIER SCIENCE LTD

Lugar: Amsterdam; Año: 2014 vol. 333 p. 1119 - 1131

0022-460X

Lyapunov-based control is an attractive strategy for semi-active vibration control as it has: a mathematical basis ensuring stability in the sense of Lyapunov, and great flexibility in design. Unfortunately, that flexibility complicates the controller tuning since it involves the construction of a weighting matrix, which is usually done by trial-and-error. In this work, it is proposed a straightforward (closed form) method to construct such a matrix. The proposed method is based on penalizing vibrational modes according to their contributions to the response in the uncontrolled case. For this purpose, it is developed the new concept of Generalized Modal Contribution Factor. This takes into account: spatial distribution of the excitation, knowledge of the frequency content of the excitation, and control objective. The capability of the proposed tuning method is demonstrated through a numerical example.