The longitudinal dynamics of the aircraft is defined by: x = Ax+ Bu, A = 0 0 0 -0.05 0 0 0 0.05 0 -0.3 B =B₁ = [ 0 B=B₂ =[ 0 1 -0.2 0 0 0 0 0 1 -1 1 -1 0.1 0 -1 -0.7 0.001 0 0 0 0 1² 0 0 -2 -0.11² " With the thrust only input or the elevator only input, the corresponding B matrices are: y = Cx For measurements of either the altitude, speed or pitch angle, the corresponding C matrices are: C=Ca=[1 0 0 0 o], C=C₁ = [0 1 0 0 0], C=C₂ = [0 0 1 0 0]

A solenoid relay is operated from a DC supply. The gap forces may be taken as parallel and the permeability of the ferromagnetic paths as very high. The air gap length is 2mm. Determine the air gap area in cm^2 which produces an acting force upon the armature of 0.3997N ?   I need the answer as soon as possible

need number 11

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× 4:03 K s.eng.ruh.ac.lk □ Û 8. Figure 4 shows the core of a simple dc motor. The magnetization curve for the metal in this core is given by Figure 5 and Figure 6. Assume that the cross-sectional area of each air gap is 18 cm² and that the width of each air gap is 0.05 cm. The effective diameter of the rotor core is 4 cm. L It is desired to build a machine with as great a flux density as possible while avoiding excessive saturation in the core. What would be a reasonable maximum flux density for this core? ii. What would be the total flux in the core at the flux density of part (i)? iii. The maximum possible field current for this machine is I A. Select a reasonable number of turns of wire to provide the desired flux density while not exceeding the maximum available current. Flux Density, B (T) 2.8 སྤྲ ཤཱ ཀ ཀཱ བྷ ཀ ཡཱཾ བ ་ 1.2 1.0 0.4 0.2 4-48cm Figure 4 0 10 20 30 40 50 100 → Depth 4 cm -0.05 cm 200 300 500 1000 2000 Magnetizing Intensity, H (A.turns/m) Figure 5 Magnetization curve…

Fill in the spaces in the Rotation Matrix about the Y axis and state why?? [0.6 ?? ??] ?? 1 0 [?? 0 ?? ///////////////////

Analyse the stability of the open-loop system. Is the system stable?

2) Sketch the Nyqpoiet plot by hand Sor the following systeon, choosing the contour to be to the right of the singularity the jwn axis Nert , wsing on the Nuquist criterion determine the mge of K z0 for which the sustemn is sca ble. Then, redo the Nuguist plot, this time Choosing the contour to be to the left of the imaryi mary the singularity avris. Again; on Osing Phe Ny quist criterion check the of Kz0 for which the sustem is range stable. Are the conswers the same? Should then be K G(s) = R Csra)

Is the system controllable? Is the system stabilizable?

need problem number 13