## ADVANCED CONTROL SYSTEMS JNTU previous years question papers

2011

ADVANCED CONTROL SYSTEMS

(Electrical & Electronic Engineering)

Time: 3 hours Max Marks: 80

Answer any FIVE Questions

All Questions carry equal marks

1. Suppose if the system equations are known in Jordan form how do you test the properties of observability? Explain using a state model. [16]

2. State stability in the sense of Lyapunov. Explain in terms of an example. [16]

3. (a) Explain the method of determining of transformation matrix for controllability.

(b) Prove that if the n-dimensional linear time-invariant single-input system is controllable, then it can be transformed, by an equivalence transformation, into the controllable companion form. [8+8]

4. (a) Discuss the nature of information about the plant supplied to the controller?

(b) Write short notes on Design of optimum controllers? [10+6]

5. Illustrate with an example the problem with terminal time t1freeandx(t1)fixed [16]

6. Derive the recurrence relation required to be solved in the dynamic programming problem of a multiple decision process in direct time. [16]

7. (a) Explain the popular intentional nonlinear elements and their functionalities.

(b) Derive the Describe function for Saturation nonlinearity. [6+10]

8. Draw a phase-plane portrait of the following system: [16]

¨x + ? x + |x| = 0