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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51374

Title: Sequential Eigenstructure Assignment with Minimal State-Feedback Gain
Authors: Jin‐Jye Lin
Hung‐Yuan Chung
Contributors: 國立臺灣海洋大學電機工程學系
Date: 1999-03
Issue Date: 2018-11-27
Publisher: Journal of the CIE
Abstract: Abstract: This paper proposes a practical and sequential eigenstructure assignment method for designing a parametric state‐feedback controller in multi‐input linear time‐invariant systems. This approach, which sequentially shifts a prescribed set of self ‐conjugate multiple eigenvalues to the closed‐loop system, can explicitly parameterize in groups, and is very useful. Spectrum‐invariant free parameters are proposed to simultaneously deal with two problems: (i) assigning the desired corresponding eigenvectors and generalized eigenvectors within an admissible class, and (ii) minimizing the Frobenius norm of the resulting controller gain. The shifting of the uncontrollable mode is discussed in some detail. A scheme for determining the minimum Frobenious norm of the resultant state‐feedback matrix gain is developed. Finally, a numerical example is used for illustration of the proposed method.
Relation: 22(2) pp.149-157
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51374
Appears in Collections:[電機工程學系] 期刊論文

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