Paper Info
Title
On the notion of transfer function for linear hybrid systems with periodic jumps.
Abstract
In this paper, we introduce the notion of transfer function for linear hybrid systems in the presence of time-driven periodic jumps. Such concept is employed to extend frequencydomain analysis tools - well-known and extensively used in the context of purely continuous or discrete time systems - to a class of hybrid systems. In particular, knowledge of the transfer function permits firstly the computation in closedform of the complete forced (state or output) response of the hybrid plant. Moreover, the hybrid transfer function allows for the frequency-domain definition of the notion of 0-th moment of the underlying system, which is instrumental, e.g. for the solution to model reduction or system identification problems. It is shown, in addition, that the notion of moment based on the hybrid transfer function possesses an interesting time-domain counterpart, hence extending the results obtained for purely continuous-time systems. The paper is concluded by numerical simulations to further substantiate the theoretical claims.
Year
DOI
Venue
2017
10.1109/MED.2017.7984227
Mediterranean Conference on Control and Automation
Field
DocType
ISSN
Frequency domain,Convergence (routing),Computer science,Control theory,Control engineering,Transfer function,Discrete time and continuous time,System identification,Hybrid system,Periodic graph (geometry),Computation
Conference
2325-369X
Citations 
PageRank 
References 
0
0.34
12
Authors
3
Name
Order
Citations
PageRank
Sergio Galeani139842.86
Possieri, C.26223.78
Mario Sassano315230.65