AI 09 604-ADVANCED CONTROL THEORY MAY 2012 (2009 Admissions)

SUBJECT - ADVANCED CONTROL THEORY

CODE -  09 604

SEMESTER - SIXTH

BRANCH - AI

UNIVERSITY - CALICUT

YEAR - 2012

DOWNLOAD LINK AVAILABLE AT THE END OF THIS POST

Part A

Answer all Questions

1.Draw the block diagram representation of the state equation.

2.Define a MIMO system.

3.List out different types of state space representations used.

4.Write the expressions of a PID controller transfer function.

5.Define ‘definiteness.’ What are the different types of ‘definiteness’?

(5x2=10 marks)

Part B

Answer any four questions,

6.Briefly describe the configuration of an observer.

7.The input-output relation of a sampled data system is described by the equation

y(k + 2) + 5y(k + 1) + 6y(k) = x(k + 1) — x(k). Determine its pulse transfer function.

8.Explain state transition matrix of discrete time system.

9.What is a PI controller and what are its effects on system performance?

10.Determine whether the following quadratic form is negative definite:

11.Briefly explain the Direct method of Liapunov stability analysis.

Part C

Answer all questions

12. (a) Determine whether the following system is completely controllable and observable:

Xi 0 1 ' Xi + 1 nl Xl

Xl — -0.16 -1 X 2 -0.8 u,y= L1 °l x2 

Or

(b) Design a state feedback controller for the system u to place the poles at -1,-2

13. (a) Obtain the solutions of homogeneous and non-homogeneous state equations.

Or

(b) Consider a discrete time unity feedback control system (sampling period T = 1 sec.) whose open loop pulse transfer function is given by:

_ I<(0.3679~ + 0.2642)

(~' ” (Z — 0.3679)(~ - 1)

Determine the range of gains *K’ for stability by use of Jury’s stability test.

14.(a) What are the different types of tuning techniques. Explain in detail.

Or

(b) Explain P, PI, PID controllers and obtain their circuitry realizations.

15.(a) i. Briefly explain different types of definiteness with an example,

ii. Consider the following system described hy

X\ = Xo Xo = X\ — X2

Determine the stability of the system by Liapunove method.

Or

(b) Write short notes on:

i. Robust internal model control system

ii. Robust PID controlled systems.

(4x10=40 marks)

Download -