Abstract
An approach for eigenvalue assignment in strongly controllable and observable linear descriptor systems using dynamic compensators is proposed. Parametric expressions for the controller coefficient matrices are given. The approach assigns the full number of distinct finite closed-loop eigenvalues, guarantees the closed-loop regularity and overcomes the defects of some previous works. In addition, using the proposed eigenvalue assignment approach, a sufficient condition for generic eigenvalue assignability using dynamic compensators is proved.
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Biao Zhang received his B.S. degree in Mathematics from Peking University, Beijing, China, in 1984, and an M.S. degree in Applied Mathematics and a Ph.D. degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 1989 and 2007, respectively. He is currently an associate professor in the Department of Mathematics at Harbin Institute of Technology. His research interests include pole assignment, eigenstructure assignment, robust control, and descriptor systems.
Jiafeng Zhu received her B.A. degree in Economics from Heilongjiang University, Harbin, China, in 1985, and her M.A. degree in Economics from Harbin Institute of Technology, Harbin, China, in 1998. She is currently an associate professor in the School of Humanities and Social Sciences at Harbin Institute of Technology. Her research interests include pole assignment, eigenstructure assignment, economic systems, and descriptor systems.
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Zhang, B., Zhu, J. Eigenvalue assignment in linear descriptor systems using dynamic compensators. Int. J. Control Autom. Syst. 12, 948–953 (2014). https://doi.org/10.1007/s12555-013-0524-8
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DOI: https://doi.org/10.1007/s12555-013-0524-8