Objectives

To simulate some control systems and study their behaviour.
1. • To plot the response of a unity negative feedback system for different values of damping ratio (ζ = 0, 0.2, 0.4, 0.6, 0.8, 1.0) upto 10 sec when the inputs applied to the system are the unit step and unit impulse.
   • To plot its rise time (t_r), settling time (t_s), % maximum overshoot for different values of ζ for step input.
   • To plot three dimensional diagram of unit step and unit impulse response curves of the given system (taking x-axis as time (t), y-axis as ζ and z-axis as an output response).


2. • To plot the root locus diagram of a unity negative feedback system for different values of amplifier gain (K). Assume K is varied from 0 to 50. Indicate the value for which the root locus crosses the imaginary axis.
   • Plot the output response for K = 0.4, 2, 6 and 12 when the inputs are unit step and unit impulse.
   
   
3. To check the stability of a unity negative feedback system by drawing Bode and Nyquist diagrams and hence indicate the gain margin, phase margin, gain crossover frequency, phase crossover frequency.


4. Get the system response of a permanent magnet dc motor from the simulation model. Observe speed of the motor (ω), armature current (i_a) and load torque (T). Assume J is the inertia of the motor, b is the viscous friction coefficient, V is the supply voltage and motor is running without load.