Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control

Authors

  • Hao Liu Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
  • Bin-Xin He Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
  • Xiao-Ping Chen Department of Mathematics, Taizhou University, Taizhou 225300, China.

DOI:

https://doi.org/10.4208/eajam.040718.091218

Keywords:

Inverse problem, gyroscopic system, partial eigenvalue assignment, multi-step method.

Abstract

The solvability of a partial eigenvalue assignment problem for undamped gyroscopic control systems is proved and its explicit solutions are found. In addition, the problem of replacing certain eigenvalues by required ones while keeping the remaining eigenpairs unchanged, is solved by a multi-step method. The method is easily implementable and does not involve receptance matrices and Sylvester equation solutions. Numerical examples show the efficiency of the method.

Downloads

Published

2019-10-09

Issue

Vol. 9 No. 4 (2019)

Section

Articles