### Abstract

Original language | English |
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Title of host publication | Proceedings of 9th Workshop on Digital Fluid Power, DFP 2017 |

Number of pages | 14 |

Publisher | Department of Energy Technology, Aalborg University |

Publication date | Sep 2017 |

Publication status | Published - Sep 2017 |

Event | 9th Workshop on Digital Fluid Power, DFP 2017 - Aalborg, Denmark Duration: 7 Sep 2017 → 8 Sep 2017 |

### Conference

Conference | 9th Workshop on Digital Fluid Power, DFP 2017 |
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Country | Denmark |

City | Aalborg |

Period | 07/09/2017 → 08/09/2017 |

### Fingerprint

### Keywords

- Fluid Power
- Digital Displacement
- Hybrid system
- Control model
- Event-driven

### Cite this

*Proceedings of 9th Workshop on Digital Fluid Power, DFP 2017*Department of Energy Technology, Aalborg University.

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*Proceedings of 9th Workshop on Digital Fluid Power, DFP 2017.*Department of Energy Technology, Aalborg University, 9th Workshop on Digital Fluid Power, DFP 2017, Aalborg, Denmark, 07/09/2017.

**Non-linear hybrid control oriented modelling of a digital displacement machine.** / Pedersen, Niels Henrik; Johansen, Per; Andersen, Torben O.; Scheidl, Rudolf.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research

TY - GEN

T1 - Non-linear hybrid control oriented modelling of a digital displacement machine

AU - Pedersen, Niels Henrik

AU - Johansen, Per

AU - Andersen, Torben O.

AU - Scheidl, Rudolf

PY - 2017/9

Y1 - 2017/9

N2 - Proper feedback control of digital fluid power machines (Pressure, flow, torque or speed control) requires a control oriented model, from where the system dynamics can be analyzed, stability can be proven and design criteria can be specified. The development of control oriented models for hydraulic Digital Displacement Machines (DDM) is complicated due to non-smooth machine behavior, where the dynamics comprises both analog, digital and non-linear elements. For a full stroke operated DDM the power throughput is altered in discrete levels based on the ratio of activated pressure chambers. In this paper, a control oriented hybrid model is established, which combines the continuous non-linear pressure chamber dynamics and the discrete shaft position dependent activation of the pressure chambers. The hybrid machine model is further extended to describe the dynamics of a Digital Fluid Power Transmission (DFPT) comprising two variable speed DDM’s with asynchronous control sampling schemes. A validation with respect to a non-linear dynamical model representing the physical system, shows the usefulness of the hybrid model with respect to feedback control development.

AB - Proper feedback control of digital fluid power machines (Pressure, flow, torque or speed control) requires a control oriented model, from where the system dynamics can be analyzed, stability can be proven and design criteria can be specified. The development of control oriented models for hydraulic Digital Displacement Machines (DDM) is complicated due to non-smooth machine behavior, where the dynamics comprises both analog, digital and non-linear elements. For a full stroke operated DDM the power throughput is altered in discrete levels based on the ratio of activated pressure chambers. In this paper, a control oriented hybrid model is established, which combines the continuous non-linear pressure chamber dynamics and the discrete shaft position dependent activation of the pressure chambers. The hybrid machine model is further extended to describe the dynamics of a Digital Fluid Power Transmission (DFPT) comprising two variable speed DDM’s with asynchronous control sampling schemes. A validation with respect to a non-linear dynamical model representing the physical system, shows the usefulness of the hybrid model with respect to feedback control development.

KW - Fluid Power

KW - Digital Displacement

KW - Hybrid system

KW - Control model

KW - Event-driven

M3 - Article in proceeding

BT - Proceedings of 9th Workshop on Digital Fluid Power, DFP 2017

PB - Department of Energy Technology, Aalborg University

ER -