TASK 1. - INTEGRATOR. A system integrator, with the transfer function is given by:- CsK S RS Time Response. 1. When K = 2, determine an expression for the system output and calculate its value after 3 seconds. Frequency Response. 2. Determine/calculate the gain in dB for K = 6 and when the frequency = 0.01, 0.1, 1 & 10 Rad/sec. Determine also the phase lag at the frequencies 0.01, 0.1, 1 & 10 rad/sec. Pole Position. 3. Determine the pole position when K=6 Explain/discuss this. TASK 2. - DIFFERENTIATOR. A system differentiator, with the transfer function is given by:- Cs) = KS Rs) Time Response. 1. When K = 2, determine an expression for the system output. Frequency Response. 2. Determine/calculate the gain in dB for K = 6 and when the frequency = 0.01, 0.1, 1 & 10 Rad/sec. Determine also the phase lag at the frequencies 0.01, 0.1, 1 & 10 rad/sec. Pole Position. 3. Determine the zero position when K=6 Where is the pole? Explain/discuss this. TASK 3. - FIRST ORDER SYSTEM. A system, with the open loop first order transfer function is given by:- Cs) RS 2.5 S+0.5 HS) Time Response. 1. Determine the system open loop gain and time constant. Frequency Response. 2. Determine/calculate the open loop low frequency gain in dB and the break frequency for this system. Also, determine the phase lag at the break frequency Pole Position. 3. Determine the pole position TASK 1. - INTEGRATOR. A system integrator, with the transfer function is given by:- CsK S RS Time Response. 1. When K = 2, determine an expression for the system output and calculate its value after 3 seconds. Frequency Response. 2. Determine/calculate the gain in dB for K = 6 and when the frequency = 0.01, 0.1, 1 & 10 Rad/sec. Determine also the phase lag at the frequencies 0.01, 0.1, 1 & 10 rad/sec. Pole Position. 3. Determine the pole position when K=6 Explain/discuss this. TASK 2. - DIFFERENTIATOR. A system differentiator, with the transfer function is given by:- Cs) = KS Rs) Time Response. 1. When K = 2, determine an expression for the system output. Frequency Response. 2. Determine/calculate the gain in dB for K = 6 and when the frequency = 0.01, 0.1, 1 & 10 Rad/sec. Determine also the phase lag at the frequencies 0.01, 0.1, 1 & 10 rad/sec. Pole Position. 3. Determine the zero position when K=6 Where is the pole? Explain/discuss this. TASK 3. - FIRST ORDER SYSTEM. A system, with the open loop first order transfer function is given by:- Cs) RS 2.5 S+0.5 HS) Time Response. 1. Determine the system open loop gain and time constant. Frequency Response. 2. Determine/calculate the open loop low frequency gain in dB and the break frequency for this system. Also, determine the phase lag at the break frequency Pole Position. 3. Determine the pole position