. Consider the hydraulic system in fig. 4. Develop a model for this system that can beused to find H1 and H2 as functions of time for any given variations in inputs.cylinder with a crosssection AF1 = KıVH1F2 =K2VH2r-Hsphere with radius rdHHHeF2Fig.4Note that the cross section of the spherical tank varies with the level of its liquid, that is, its hydrauliccapacitance is not constant. Flow u is the input to the system. Obtain the nonlinear equations thatdescribe the behaviour of the system.

GIVEN: F1=K1H1F2=K2H2 where H1 and H2 are the functions of time for any given variations in inputs.…

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.