A numerical method for deadbeat control of generalized state-space systems |
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| Authors: | Th Beelen |
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| Affiliation: | 1. Department ESAT-STADIUS, KU Leuven University, Kasteelpark Arenberg 10, 3001 Leuven, Belgium;2. School of Information Science and Technology, ShanghaiTech University, 319 Yueyang Road, Shanghai 200031, China;3. Department IMTEK, University of Freiburg, Georges-Koehler-Allee 102, 79110 Freiburg, Germany;1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China;2. Key Laboratory of Photoelectronics and Telecommunication of Jiangxi Province, Nanchang, Jiangxi, 330022, China |
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| Abstract: | In this paper we give a new numerical method for constructing a rank m correction BF to an n × n matrix A, such that the generalized eigenvalues of λE−(A+BF) are all at λ = 0. In the control literature, this problem is known as ‘deadbeat control’ of a generalized state-space system Exi+1 = Axi + Bui, whereby the matrix F is the ‘feedback matrix’ to be constructed. |
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| Keywords: | Deadbeat control Generalized state-space systems Numerical methods |
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