Consider the hydraulic system in fig. 4. Develop a model for this system that can be used to find H1 and H2 as functions of time for any given variations in inputs. cylinder with a cross section A F1 = KiVH1 F2 = K2VH2 H, F1 r-H sphere with radius r dH F2 Fig.4 Note that the cross section of the spherical tank varies with the level of its liquid, that is, its hydraulic capacitance is not constant. Flow u is the input to the system. Obtain the nonlinear equations that describe the behaviour of the system.
Consider the hydraulic system in fig. 4. Develop a model for this system that can be used to find H1 and H2 as functions of time for any given variations in inputs. cylinder with a cross section A F1 = KiVH1 F2 = K2VH2 H, F1 r-H sphere with radius r dH F2 Fig.4 Note that the cross section of the spherical tank varies with the level of its liquid, that is, its hydraulic capacitance is not constant. Flow u is the input to the system. Obtain the nonlinear equations that describe the behaviour of the system.
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Transcribed Image Text:. Consider the hydraulic system in fig. 4. Develop a model for this system that can be
used to find H1 and H2 as functions of time for any given variations in inputs.
cylinder with a cross
section A
F1 = KıVH1
F2 =
K2VH2
r-H
sphere with radius r
dH
H
He
F2
Fig.4
Note that the cross section of the spherical tank varies with the level of its liquid, that is, its hydraulic
capacitance is not constant. Flow u is the input to the system. Obtain the nonlinear equations that
describe the behaviour of the system.
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