CONTROL SYSTEM DESIGN — Winter 2018

Compare merits and demerits of Conventional control approach over modern Control approach.

Derive the state space model for a series RLC circuit having the values of component as under: R= 10K ohm, L= 10mH, C=10 uF.

Design a suitable compensator in time domain for a transfer function K G(s) = for specification as under. (s2 ) Peak overshoot Mp ≤ 20 % , Settling time ts ≤ 4 sec.

Explain the design steps of Lag compensator in time domain.

Explain the dynamics of standard second order step response of the system like peak overshoot, rise time etc.

Design a suitable compensator using Bode plot for unity feedback system to meet following performance specifications. Acceleration error constant Ka=10 and Phase Margin ≥35.

Derive the state space model from a SISO Transfer function given as under. G(s) = 1/s(s+1)

Explain with suitable example Contrability and observability.

K Draw the bode plot of G(s)= for Kv=5 and find out gain s(s+1)(s+4) margin and phase margin.

State and prove linearity and time reversal properties of z transform.

Find out the z transform for 1. Unit step 2. X(n) =(coswn) * u(n)

State and prove time scaling and differentiation properties of z transform.

Find the inverse z transform for x(z)= 1 1−1.5z−1+0.5z−2

Check the controllability and observability of the system given with state matrices as  0 1 0  0       A 0 0 1 , B  0 ,C  1 0 0     2 3 5 1    

State and prove the properties of state transition matrix.1

Explain robust PID controller.

Explain optimal control system.