Title
Structural Controllability of an NDS With LFT Parameterized Subsystems
Abstract
This paper studies structural controllability for a networked dynamic system (NDS), in which each subsystem may have different dynamics, and unknown parameters may exist both in subsystem dynamics and in subsystem interconnections. In addition, subsystem parameters are parameterized by a linear fractional transformation. It is proven that controllability keeps to be a generic property for this kind of NDSs. Some necessary and sufficient conditions are then established, respectively, for them to be structurally controllable, to have a fixed uncontrollable mode, and to have a parameter-dependent uncontrollable mode, under the condition that each subsystem interconnection link can take a weight independently. These conditions are scalable, and in their verifications, all arithmetic calculations are performed separately on each subsystem. In addition, these conditions also reveal influences on NDS controllability from subsystem input–output relations, subsystem uncontrollable modes, and subsystem interconnection topology. Based on these observations, the problem of selecting the minimal number of subsystem interconnection links is studied under the requirement of constructing a structurally controllable NDS. A heuristic method is derived with some provable approximation bounds and a low computational complexity.
Year
DOI
Venue
2019
10.1109/TAC.2019.2903225
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Controllability,Network topology,Topology,Observability,Nonlinear dynamical systems,Mathematical model
Journal
64
Issue
ISSN
Citations 
12
0018-9286
0
PageRank 
References 
Authors
0.34
11
2
Name
Order
Citations
PageRank
Yuan Zhang1225.64
Tong Zhou244876.83