Linear Hybrid Dynamical Control of Digital Displacement Units

Niels Henrik Pedersen*, Per Johansen, Torben Ole Andersen

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Abstrakt

This paper concerns development of control strategies for energy efficient fluid power digital displacement machines R(DDM). The DDM technology yields an efficient reduction in displacement levels by deactivating independently cylinder pressure chambers by electromagnetically controlled on-off valves. Since the continuous dynamics of each pressure chamber is activated/deactivated discretely at fixed shaft positions, the DDM dynamics belongs to the class of hybrid dynamical systems. However, control development for hybrid system is in general very complex due to the use of Lyapunov stability theory for both continuous and discrete systems. This paper shows stability based on hybrid dynamical theory for a linear continuous plant actuated by a DDM, which dynamics has been approximated by a linear discrete model. It is shown that the control design problem is identically to that of a fully discrete description of the system based on a zero-order-hold
approximation of the continuous design. Furthermore, the problem of having a nonlinear plant, multiple DDMs or an angle dependent asynchronous control update rate for a variable speed DDM is addressed, where measures of stability analysis is discussed.
OriginalsprogEngelsk
TitelProceedings of 16th Scandinavian International Conference on Fluid Power, SICFP19
Antal sider11
ForlagTampere University of Technology
Publikationsdatomaj 2019
Sider89-99
ISBN (Elektronisk)978-952-03-1302-9
StatusUdgivet - maj 2019
BegivenhedThe 16th Scandinavian International Conference on Fluid Power - Tampere University, Tampere, Finland
Varighed: 22 maj 201924 maj 2019

Konference

KonferenceThe 16th Scandinavian International Conference on Fluid Power
LokationTampere University
LandFinland
ByTampere
Periode22/05/201924/05/2019
NavnScandinavian International Conference on Fluid Power (SICFP)
ISSN2342-2726

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Citationsformater

Pedersen, N. H., Johansen, P., & Andersen, T. O. (2019). Linear Hybrid Dynamical Control of Digital Displacement Units. I Proceedings of 16th Scandinavian International Conference on Fluid Power, SICFP19 (s. 89-99). Tampere University of Technology. Scandinavian International Conference on Fluid Power (SICFP)