A parametric poles assignment algorithm for second-order linear periodic systems
Poles assignment problem for second-order linear periodic system by using periodic proportion-plus-derivative (PD) state-feedback is considered in this paper. The poles assignment problem via periodic PD state-feedback in a class of discrete periodic second-order linear systems can be transformed in...
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Published in | Journal of the Franklin Institute Vol. 354; no. 18; pp. 8057 - 8071 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elmsford
Elsevier Ltd
01.12.2017
Elsevier Science Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | Poles assignment problem for second-order linear periodic system by using periodic proportion-plus-derivative (PD) state-feedback is considered in this paper. The poles assignment problem via periodic PD state-feedback in a class of discrete periodic second-order linear systems can be transformed into the problem of solving a class of constrained discrete periodic regulator equations. A complete parametric approach to poles assignment via periodic PD state-feedback is proposed based on the solutions to the discrete periodic regulator matrix equations. Based on the proposed parametric method, the consideration of the minimization problem and the robust problem of the plant system are proposed. Two numerical examples are presented to illustrate the effectiveness of the proposed approaches. |
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ISSN: | 0016-0032 1879-2693 0016-0032 |
DOI: | 10.1016/j.jfranklin.2017.09.029 |