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TECHNICAL BRIEFS

Arbitrary Assignment of Eigenvectors With State Feedback

[+] Author and Article Information
Jinsiang Shaw

Department of Mechanical Engineering, Huafan Institute of Technology, Shihtin Hsiang, Taipei Hsien, Taiwan, 22305

Suhada Jayasuriya

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

J. Dyn. Sys., Meas., Control 114(4), 721-723 (Dec 01, 1992) (3 pages) doi:10.1115/1.2897747 History: Received July 25, 1991; Revised March 16, 1992; Online March 17, 2008

Abstract

Conditions under which eigenvectors of linear multivariable systems can be arbitrarily assigned using state feedback are derived. A procedure for obtaining the required feedback gain matrix is also given. Embedded within the procedure is the freedom to minimize the gain matrix as well as select eigenvalues associated with the assigned eigenvectors. Consequently, arbitrary shaping of the system transient response is possible by concentrating system energy in specific modes. This technique is well suited for applications in the active vibration control of mechanical systems.

Copyright © 1992 by The American Society of Mechanical Engineers
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