A simple longitudinal mode of an aircraft is given by the state space equation as, d...

 

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A simple longitudinal mode of an aircraft is given by the state space equation as, d -1.2 -0.13] [9]- [58 -1.5] []+[223] dt -50 -22.5 de Where a, q and de respectively are, angle-of-attack, pitch rate and elevator's deflection angle. (a) (10 points) Draw the block diagram for the open-loop control and then evaluate its stability from the eigenvalues. (b) (10 points) Find and analyze the perturbation responds (a(t), g(t)) of the aircraft for 0.2 rad perturbation of angle-of-attack (a) for the open-loop control. (c) (30 points) Design a stability augmentation system (SAS) for the system if only a is used for the feedback system (ka). Draw the block diagram and discuss what would happen to the stability of the system (eigenvalues, a(t), q(t)) if ka is varied from 1 to 6. Provide the plot of the input (6.) as well. (d) (30 points) Design a stability augmentation system (SAS) for the system if only q is used for the feedback system (kg). Draw the block diagram and discuss what would happen to the stability of the system (eigenvalues, a(t), g(t)) if ke is varied from 0.1 to 0.6. Provide the plot of the input (6.) as well. (e) (20 points) Design a stability augmentation system (SAS) for the system if both a and q are used for the feedback system (ka, kq). Discuss what would happen to the stability of the system (eigenvalues, a(t), q(t)). Provide the plot of the input (de) as well. A simple longitudinal mode of an aircraft is given by the state space equation as, d -1.2 -0.13] [9]- [58 -1.5] []+[223] dt -50 -22.5 de Where a, q and de respectively are, angle-of-attack, pitch rate and elevator's deflection angle. (a) (10 points) Draw the block diagram for the open-loop control and then evaluate its stability from the eigenvalues. (b) (10 points) Find and analyze the perturbation responds (a(t), g(t)) of the aircraft for 0.2 rad perturbation of angle-of-attack (a) for the open-loop control. (c) (30 points) Design a stability augmentation system (SAS) for the system if only a is used for the feedback system (ka). Draw the block diagram and discuss what would happen to the stability of the system (eigenvalues, a(t), q(t)) if ka is varied from 1 to 6. Provide the plot of the input (6.) as well. (d) (30 points) Design a stability augmentation system (SAS) for the system if only q is used for the feedback system (kg). Draw the block diagram and discuss what would happen to the stability of the system (eigenvalues, a(t), g(t)) if ke is varied from 0.1 to 0.6. Provide the plot of the input (6.) as well. (e) (20 points) Design a stability augmentation system (SAS) for the system if both a and q are used for the feedback system (ka, kq). Discuss what would happen to the stability of the system (eigenvalues, a(t), q(t)). Provide the plot of the input (de) as well.