Roll No.
Total No. of Questions : 08 Total No. of Pages : 03
M.Tech. (?) (2018 Batch) (Sem.-2)
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ADVANCE CONTROL SYSTEM
Subject Code : MTEE-203A-18
M.Code: 76102
Time: 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
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- Attempt any FIVE questions out of EIGHT questions.
- Each question carries TWELVE marks.
SECTION-A
Q1 Obtain the state space representation of the system shown below :
(Diagram of system representation is expected here, but cannot be rendered in HTML)
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Q2 Consider the following state space representation of a system:
(State Space Representation equations are expected here, but cannot be rendered in HTML)
Obtain the eigen values of the matrix A. Also develop the system in diagonal canonical form.
Q3 Define Observability. For the system defined by :
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X = AX + BU
Derive the condition for complete state Observability.
Q4 Discuss the properties of Lyapunov function. Discuss any two methods for finding out the Lyapunov function.
Q5 Consider the system given by:
X = AX + BU
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y = CX
Transform the system equations into observable and controllable canonical form.
Q6 Discuss the concept of an observer in control theory. Consider a system defined by :
(System equations are expected here, but cannot be rendered in HTML)
Given the set of desired poles of the observer to be
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s = -5 + j5 v3, s = -5- j5v3, s=-10
design a full order observer.
Q7 Determine the optimal control signal U for the system defined by:
X = AX + BU
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Where A = and B =
(Matrix A and B expected here)
Such that the following performance index is minimized:
(Performance index equation expected here)
Q8 Write a short note on :
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(a) Similarity transformation
(b) Kalman filter
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.
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This download link is referred from the post: PTU M.Tech 2nd Semester Last 10 Years 2010-2020 Previous Question Papers|| Punjab Technical University