The Library
Stability properties of coupled impedance passive LTI systems
Tools
Tools
Tools
Zhao, Xiaowei and Weiss, George (2017) Stability properties of coupled impedance passive LTI systems. IEEE Transactions on Automatic Control, 62 (11). 5769 -5779. doi:10.1109/TAC.2017.2694558
|
PDF
WRAP-stability-properties-coupled-impedance-passive-Zhao-2017.pdf - Accepted Version - Requires a PDF viewer. Download (502Kb) | Preview |
Official URL: http://dx.doi.org/10.1109/TAC.2017.2694558
Abstract
We study the stability of the feedback interconnection
of two impedance passive linear time-invariant systems,
of which one is finite-dimensional. The closed-loop system is well known to be impedance passive, but no stability properties follow from this alone. We are interested in two main issues: (1)
the strong stability of the operator semigroup associated with the closed-loop system, (2) the input-output stability (meaning transfer function in H∞) of the closed-loop system. Our results are illustrated with the system obtained from the non-uniform SCOLE (NASA Spacecraft Control Laboratory Experiment) model representing a vertical beam clamped at the bottom, with a rigid body having a large mass on top, connected with a trolley
mounted on top of the rigid body, via a spring and a damper. Such an arrangement called a tuned mass damper (TMD), is used to stabilize tall buildings. We show that the SCOLE-TMD system is strongly stable on the energy state space and that the system is input-output stable from the horizontal force input to the horizontal velocity output.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) T Technology > TH Building construction |
||||||||
| Divisions: | Faculty of Science > Engineering | ||||||||
| Library of Congress Subject Headings (LCSH): | Linear time invariant systems, Tuned mass dampers, Input-output analysis, Coupled mode theory, Linear systems, Stability | ||||||||
| Journal or Publication Title: | IEEE Transactions on Automatic Control | ||||||||
| Publisher: | IEEE | ||||||||
| ISSN: | 0018-9286 | ||||||||
| Official Date: | November 2017 | ||||||||
| Dates: |
|
||||||||
| Date of first compliant deposit: | 8 April 2017 | ||||||||
| Volume: | 62 | ||||||||
| Number: | 11 | ||||||||
| Page Range: | 5769 -5779 | ||||||||
| DOI: | 10.1109/TAC.2017.2694558 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | Israel Science Foundation (ISF), Leverhulme Trust (LT) | ||||||||
| Grant number: | 800/14 (ISF) | ||||||||
| Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
