MECH3001 Advanced Dynamics Assignment 2 Question

MECH3001 Q1. 

The model of a robotic arm using a DC motor and set of gears is shown in figure below with disturbance torque To which represent the effect of the load, if e(s)=0 and the load effect is To(s) is a unit step input,

1. Derive the steady state error using block diagram reduction method.
2. Determine the steady state error when = K (1+, PD controller

MECH3001 Q2

Consider the control system shown in the figure below, design a lead compensator Gc(s)= K (s + a) such that the unit step response will exhibit maximum overshoot less than 25% and settling time less than 3 sec.

MECH3001 Q3

a) A unity feedback control system shown in the figure below has the process

Design a PID controller using Ziegler-Nichols's secret and determine:

1. The unit step response and the unit disturbance response.
2. The maximum percent overshoot and settling time for the unit step input. 3. discuss how the tuned PID values of,, and performance.

b) An altitude control system for an airplane is shown in the figure below

1. Obtain the frequency response of the system for K-50 (Bode diagram).
2. Determine the gain margin and phase margin for this system.

3. Select a suitable gain K so that the phase margin is 45°, explain your work. 4. Find the response C(t) of the system for the gain selected in part (3).

MECH3001 Q4

In this question you are asked to present a speed control system for gas turbine, steam turbine, petrol or diesel engine. In all these cases the position of the throttle lever sets the speed of the engine. The question will test your ability to perform research into your system, draw relationships of the dynamics that describe the system, block diagram to represent the system, make approximations (with a simple realistic mathematical model from research) so that the system has been clearly described and presented, your report is judged on the following:

• Depth, detail, and croWhy is this page out of focus?
• Report and Written