Control Systems - The Performance of Feedback Control

Questions

Solve the following problems:

1. The speed control of a racing vehicle has the following block diagram:

where the engine transfer function is and H(s) = 1. (a) Calculate the steady-state error of the vehicle to a unit step command. (b) Calculate the overshoot of the speed to a unit step command.

2. For the same system as in problem 1 but the transfer function is G(s) =. (a) Determine the percent overshoot and the settling time. (b) Find K if the settling time is less than 1 second.

3. Position control of an astronaut is represented by the following block diagram:

where the moment of inertia of the equipment and man is 30 kg . (a) Determine the necessary gain to maintain a steady-state error of 1 cm when the input is a ramp of r(t) = t meters. (b) With this gain determine the necessary gain in order to restrict the percent overshoot to 10%.

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