We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Partial eigenstructure assignment for descriptor high-order linear systems via proportional plus derivative state feedback: A parametric approach.
- Authors
Gu, Da-Ke; Wang, Rui-Yuan; Liu, Yin-Dong
- Abstract
In this paper, we present a parametric method to design proportional plus derivative (PD) state feedback for the problem of partial eigenstructure assignment (PESA) in a type of descriptor high-order linear time-invariant (LTI) systems. By dividing the original eigenstructure into replaced and remaining parts and using the solutions to the high-order generalized Sylvester equations (HGSEs), complete parameterized expressions of PD feedback controller and the replaced part of the right eigenvector matrix are established. With the proposed approach, the unsatisfactory eigenstructure in the open-loop system is changed into the expected eigenstructure in the closed-loop system, while the satisfactory part in the open-loop system is retained. Meanwhile, the regularity of the closed-loop system can also be well-guaranteed by the selection of arbitrary parameters. Finally, a numerical example and a flexible-joint robot system are presented to verify the feasibility and effectiveness of the proposed method, respectively.
- Subjects
STATE feedback (Feedback control systems); LINEAR systems; SYLVESTER matrix equations; CLOSED loop systems; PSYCHOLOGICAL feedback; ARBITRARY constants
- Publication
Transactions of the Institute of Measurement & Control, 2023, Vol 45, Issue 12, p2324
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/01423312221150295