The second order dynamic system \frac{dx}{dt} = Px + Qu y = Rx has the matrices, P, Q and R as follows: P = \left[\begin{array}{cc}−1 & 1 \ 0 & −3 \\] \:Q = [ 0 \\ 1 ]\end{array}:R = [0\:1] The system has the following controllability and observability properties:

Correct Answer is : Controllable but not observable

Not controllable but observable

Controllable but not observable

Not controllable and not observable

GATE Electrical Engineering (EE) 2014 Shift 2 Solved Paper

Question : 56 of 65

Marks: +1, -0

The second order dynamic system

\;{dx}/{dt} = Px + Qu

y = Rx
has the matrices, P, Q and R as follows:

P = {[\table −1 , 1 ; 0 , −3 ;] \:Q = [ 0 \; 1 ]}:R = [0\:1]

The system has the following controllability and observability properties:

Go to Question:

Prev Question

Next Question