In this paper, we introduce the notion of Transfer Function for linear hybrid systems in the presence of time-driven periodic jumps. It is shown firstly that knowledge of the transfer function permits the computation in closed-form of the complete forced (state or output) response of the hybrid plant. Moreover, hybrid transfer functions resulting from standard interconnection schemes — such as parallel, series and feedback interconnection — are derived. The intrinsically related notions of zero and pole of such transfer function are then discussed in details. Finally, the crucial role played by zeros of a transfer function in the output zeroing is emphasized and extended to the hybrid context.

Galeani, S., Possieri, C., Sassano, M. (2017). Zeros and poles of transfer functions for linear hybrid systems with periodic jumps. In Decision and Control (CDC), 2017 IEEE 56th Annual Conference on (pp.5469-5474). IEEE [10.1109/CDC.2017.8264469].

### Zeros and poles of transfer functions 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. It is shown firstly that knowledge of the transfer function permits the computation in closed-form of the complete forced (state or output) response of the hybrid plant. Moreover, hybrid transfer functions resulting from standard interconnection schemes — such as parallel, series and feedback interconnection — are derived. The intrinsically related notions of zero and pole of such transfer function are then discussed in details. Finally, the crucial role played by zeros of a transfer function in the output zeroing is emphasized and extended to the hybrid context.
##### Scheda breve Scheda completa Scheda completa (DC)
Conference on Decision and Control
Rilevanza internazionale
Settore ING-INF/04 - Automatica
English
Transforms; Convergence; Time-domain analysis; Linear systems; Poles and zeros; Laplace equations
Intervento a convegno
Galeani, S., Possieri, C., Sassano, M. (2017). Zeros and poles of transfer functions for linear hybrid systems with periodic jumps. In Decision and Control (CDC), 2017 IEEE 56th Annual Conference on (pp.5469-5474). IEEE [10.1109/CDC.2017.8264469].
Galeani, S; Possieri, C; Sassano, M
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/2108/193128`
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