Open AccessA parametric approach of partial eigenstructure assignment for high-order linear systems via proportional plus derivative state feedback
Author(s) -
Gu D,
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.