Paper Info
Title
Stability Properties of Coupled Impedance Passive LTI Systems.
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 nonuniform 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.
Year
DOI
Venue
2017
10.1109/TAC.2017.2694558
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Impedance,Wind turbines,Poles and towers,Stability criteria,Linear systems,Aerospace electronics
Linear system,Control theory,Electrical impedance,Rigid body,Transfer function,Tuned mass damper,State space,Mathematics,Spacecraft,Damper
Journal
Volume
Issue
ISSN
62
11
0018-9286
Citations 
PageRank 
References 
2
0.38
16
Authors
2
Name
Order
Citations
PageRank
Xiaowei Zhao1269.65
George Weiss29412.48