A parametric approach of partial eigenstructure assignment for high-order linear systems via proportional plus derivative state feedback | Zendy

DaKe Gu | Zendy; Ruiyuan Wang | Zendy; Yindong Liu | Zendy

Open Access

A parametric approach of partial eigenstructure assignment for high-order linear systems via proportional plus derivative state feedback

Author(s) -

DaKe Gu,

Ruiyuan Wang,

Yindong Liu

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021647

Subject(s) - control theory (sociology) , parametric statistics , mathematics , robustness (evolution) , lti system theory , linear system , stability (learning theory) , computer science , mathematical analysis , control (management) , biochemistry , statistics , chemistry , artificial intelligence , gene , machine learning

In this paper, a partial eigenstructure assignment problem for the high-order linear time-invariant (LTI) systems via proportional plus derivative (PD) state feedback is considered. By partitioning the open-loop system into two parts (the altered part and the unchanged part) and utilizing the solutions to the high-order generalized Sylvester equation (HGSE), complete parametric expressions of the feedback gain matrices of the closed-loop system are established. Meanwhile, a group of arbitrary parameters representing the degrees of freedom of the proposed method is provided and optimized to satisfy the stability of the system and robustness criteria. Finally, a numerical example and a three-axis dynamic flight motion simulator system example with the simulation results are offered to illustrate the effectiveness and superiority of the proposed method.

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