- Title
- On the reachability property for networks of linear time-invariant subsystems
- Creator
- Zamani, Mohsen; Ninness, Brett; Quevedo, Daniel
- Relation
- 2016 Australian Control Conference (AuCC 2016). Proceedings of the 2016 Australian Control Conference (AuCC 2016) (Newcastle, N.S.W. 3-4 November, 2016) p. 27-31
- Publisher Link
- http://dx.doi.org/10.1109/AUCC.2016.7867927
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2016
- Description
- In this paper, we study networks of discrete-time linear time-invariant subsystems. Our focus is on situations where subsystems are connected to each other through a time-invariant topology and where there exists a base-station whose aim is to control the subsystems into any desired destinations. However, the base-station can only communicate with some of the subsystems that we refer to as leaders. There are no direct links between the base-station and the rest of subsystems, known as followers, as they are only able to liaise among themselves and with some of the leaders. The current paper formulates this framework as the well-known reachability problem for linear systems. Then to address this problem, we introduce notions of leader-reachability and base-reachability. We present algebraic conditions under which these notions hold. It turns out that if subsystems are represented by minimal state space representations, then base-reachability always holds. Hence, we focus on leader-reachability and investigate the corresponding conditions in detail. We further demonstrate that when the networked system parameters i.e. subsystems' parameters and interconnection matrices, assume generic values then the whole network is both leader-reachable and base-reachable.
- Subject
- interconnection matrices; discrete-time linear time-invariant subsystem networks; time-invariant topology; subsystem control; leader-reachability; base-reachability; algebraic conditions; state space representations; networked system parameters
- Identifier
- http://hdl.handle.net/1959.13/1344030
- Identifier
- uon:29305
- Identifier
- ISBN:9781922107909
- Language
- eng
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