Question

this was given with a previous answer...if that helps with some of the solving?

Need final answers boxed and a screenshot of MATLAB code

Aircraft Pitch Control (3/2) Consider the aircraft model shown in Figure 1. We will assume that the aircraft is in steady-cruise at constant altitude and velocity; thus, the thrust, drag, weight and lift forces balance each other in the x- and y directions. We will also assume that a change in pitch angle will not change the speed of the aircraft under any circumstance (unrealistic but simplifies the problem a bit). Under these assumptions the longitudinal equations of motion for the aircraft can be written as, 녜 Drag Weight Figure1 s Platform area of the wing CD Coeficient of drag e Average chord length CLCoefient of m Mass of the aircraft UrEqabrurnflightspeed Cr Coecient of thrust a Angle of attack Pitch rate Ptch angle Cw Coeficient of weight Cysc -coemdent of pitch moment δ-Elevator deflection argie Flight path angle γ Density of air Normalized moment of inertia μΩ 2iyy g values taken from one of Boeing's commercial aircraft the state space model is given by, 0.313 56.7 01 ral 0.232 0.0139 -0.426 0.0203 0 v-0 0 11 fr th ity Design a finst order lead compensator cascade controller, Gic(s) s+pe) feedback system. The design requirements are: 1 : Closed loop system step response with less than 20% overshoot. 2: Closed loop system step response with less than 10 second settle time. 3: Steady state tracking error to a ramp input that is a factor of 10 less than without the compensator Gain and phase margin greater than 10 dB and 30 degrees, respectively Settle time is defined to be the time beyond which the response is within 2% of the final value. 1) Aircraft plant transfer function in proper form with input δ and output θ. 2) Design values of your lead compensator gan, zero, and pole, ie. Gc(s) = Kc 3) MATLAB Bode plots of the compensated frequency response (gain and phase) with gain and phase margins appended to the plot. 4) MATLAB step and ramp response plots of the compensated closed loop system showing requirements are met. (s+ze) (s+Pe the 110布 0-19 ', les yts) .36

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