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Shock and Vibration
Volume 2015, Article ID 629109, 5 pages
Research Article

A New Approach for Symmetry Preserving Partial Eigenstructure Assignment of Undamped Vibrating Systems

1School of Mechanical Engineering, Wuhan Polytechnic University, Wuhan 430023, China
2Institute of Electrical and Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100101, China

Received 2 April 2015; Revised 9 June 2015; Accepted 17 June 2015

Academic Editor: Kumar V. Singh

Copyright © 2015 Zhigang Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new approach for the partial eigenvalue and eigenstructure assignment of undamped vibrating systems is developed. This approach deals with the constant output feedback control with the collocated actuator and sensor configuration, and the output matrix is also considered as a design parameter. It only needs those few eigenpairs to be assigned as well as mass and stiffness matrices of the open-loop vibration system and is easy to implement. In addition, this approach preserves symmetry of the systems. Numerical example demonstrates the effectiveness and accuracy of the proposed approach.