# Jawaharlal Nehru Technological University Anantapur 2010-1st Sem B.Tech Code :R7411304 4 IV (R07) Regular s, ember/ember ADAPTIVE CONTROL SYSTEMS - Question Paper

Wednesday, 29 May 2013 07:45Web

Code :R7411304 4

IV B.Tech I semester (R0

**7)**Regular Examinations, November/December 2010

ADAPTIVE CONTROL SYSTEMS

(Electronics & Control Engineering)

**Time:**three hours

**Max Marks**: 80

ans any 5 ques.

All ques. carry equal marks

**1.**

**(**discuss the merits and demerits of adaptive control system over conventional feedback control system.

**a)****(**With relevant block diagrams, discuss the major kinds of adaptive control schemes.

**b)****2.**

**(**Consider the adaptive second-order system provided in ¯gure 2.

**a)****(**Sketch the pole-zero diagram on s-plane for

**b)****i.**KxKv = 1

**i**KxKv < 1

**i.****i**KxKv > 1

**i****i.****(**Sketch the energy density spectrum for the i), (ii), and (iii).

**c)****3.**

**(**Investigate the global properties of adaptive systems. When the parameters are such that the local equilib-

**a)**rium is stable.

**(**discuss in brief about analysis of indirect discrete-time self tuners.

**b)****4.**Consider an integrator with a time delay T. for the sampling period h>T, the system is provided by the subsequent

equations:

A(q) = q(q ¡ 1)

B(q) = (h ¡ T)q + T = (h ¡ T)(q + b)

Where b = T=(h ¡ T) and d0 = 1

The noise is presumed to be characterized by C(q)=q(q+c); |c|<

**1.**calculate the optimal minimum variance

controller and the lowest attainable output variance when

**a)**T=0.4 (the minimum phase)

**b)**T=0.6 ( the non-minimum phase)

**5.**discuss the design procedure using hyper stability in the case of unknown parameters.

**6.**

**(**explain how a dual control issue can be solved using conditional distribution of the state theorem.

**a)****(**discuss the subsequent class of sub optical dual controllers:

**b)****i.**Constrained 1 step minimization

**i**Perturbation signals.

**i.****7.**

**(**What id meant by tuning of PI/PID controllers. discuss zeigler-Nichol's transient response and closed loop

**a)**methods for tuning controllers.

**(**An open loop step response of a system indicates a negative intercept of five units with a steady output of 0.98,

**b)**delay time of 0.02 sec and rise time of 1.2 se

**c.**determine the parameters of PID controller to improve the

response use the subsequent table:

Controller Kc Ti Td

P 1/a - -

PI 0.9/a 3L -

PID 1.2/a 2L L/2

**8.**Write concise note on and three:

**(**Square root algorithm

**a)****(**Averaging in stochastic system.

**b)****(**Variable structure systems.

**c)****(**Auto tuning based on relay feedback.

**d)**Earning: Approval pending. |