Assignment Task

The closed-loop control system of the rocket is given in the form of the block diagram:

where

K-is the controller gain;

G1(s) is the transfer function of the actuator;

G2(s) is the transfer function of the rocket dynamics;

X(S) is the step input with the amplitude 1;

Y(S) is the output.

The tasks:

2.1 Calculate the transfer function of the closed-loop system given in Figure 1.

2.2 Using the Routh-Hurwitz stability criterion calculate the range of the controller gain “K” for which the closed loop system is stable.

2.3 Design the Simulink model of the closed loop system.

2.4 Provide the simulation results which will demonstrate that the system is stable in the range of the gain “K”, which you calculated in question 2.2. Critically evaluate your results.