University : University of Portsmouth UniLearnO is not sponsored or endorsed by this college or university.
Subject Code : ENG742s1
Country : United Kingdom
Assignment Task -

Aircraft Bank Angel Control System Aircraft Bank Angel Control System

 

 

a) From the plot shown in figure 1.3, which controller gain provides the best response in terms of stability and speed of response taken together? 

b) Derive the transfer function φ(s)/φc(s) from the block diagram of figure 1.1. 

c) Derive the overall transfer function ψ(s)/ψcom(s) taking g = 9.81 m/s2 and U0 = 150 m/s. 

d) Using the Routh Hurwitz criterion finds the maximum value which Kp can take before the direction control system becomes unstable. 

2. Consider the inverted pendulum system shown in figure 2.1 below. The input is the force F and the output is the angle θ between the vertical axis. 

Calculate the poles of the transfer function G(s) and explain why this system is unstable. Describe the behavior of the output θ(t) in response to a unity impulse force  F(t) = δ(t).

b) It is proposed to stabilize the closed-loop system with the introduction of a suitable.

Find the range of values of the proportional Kp and derivative Kd controller gains ensuring the stability of the closed-loop system.

(ii) Calculate the steady-state error to a unit step input.

c) The system specifications require a 2% settling time of 1 second or less, and overshoot to a step input of no more than 5%.  

(i) Translate the transient specification into a dominant pair of complex conjugate poles and calculate the damping ratio ζ and natural frequency ωn.

(ii) Find the proportional Kp and derivative Kd controller gains that achieve these transient specifications.

d) The system specifications also require a steady-state error of 0.2 or less to a unit step input.  

 (i) Design an additional in-series lag compensator as shown in figure 2.3 to achieve this steady-state specification, whilst not adversely affecting the transient response from part (c).

 

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  • Posted on : January 20th, 2019
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