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# Vertical Take Off and Landing Aircraft

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For a VTOL (Vertical Take Off and Landing) aircraft, there is the following Block Diagram (see attached VTOL_BlockDiagram file).

a) Find the system response for step input and determine the steady state error
b) Find the variation of Kc in the stability of VTOL
c) Is the system always stable?

a = 0.5; b = 10; c =3
Ka = 1; Kb = 17; Kc = 1
u(t) = step distance = 0.1
r(t) = step input = 1

Solve parts a, b and c by both methods:

1) Classical Method using Laplace Transform, Final Value Theorem and Routh's Stability Criterion.
2) Signal Flow Graph, State Variables, State Equation, Transition Matrix, Eigenvalues

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#### Solution Preview

Hi, thank you for accepting my solution. The questions (a) to (c) are solved by using only the first method. The result is checked by using MATLAB code and simulink.

Block Diagram
For a VTOL (Vertical Take Off and Landing) aircraft, there is the following Block Diagram (see attached VTOL_BlockDiagram file).

a) Find the system response for step input and determine the steady state error
b) Find the variation of Kc in the ...

#### Solution Summary

This solution shows step-by-step calculations to determine the system response for step input, steady state error, variation of Kc in stability and also explains if the system is always stable with brief explanations.

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