Concepts of State, State Variables & State Model

Concepts of State, State Variables & State Model 1. The transfer function for the state representation of the continuous time LTI system: dq(t)/dt=Aq(t)+Bx(t) Y(t)=Cq(t)+Dx(t) is given by: a) C(sI-A)-1B+D b) B(sI-A)-1B+D…

Compensation Techniques : Control Systems

Compensation Techniques 1. Assertion (A): The closed loop stability can be determined from the poles of an open loop system and the polar plot of the frequency response. Reason (R):…

Stability Analysis

Stability Analysis 1. First column elements of the Routh’s tabulation are 3, 5, -3/4, ½, 2. It means that there are: a) Is one root in the left half of…

Z & S Domain Relationship

Z & S Domain Relationship 1. The auto-correlation function of a rectangular pulse of duration T is a) A rectangular pulse of duration T b) A rectangular pulse of duration…

Z-transform Analysis of Sampled-Data Control Systems

Z-transform Analysis of Sampled-Data Control Systems 1. The DFT of a signal x(n) of length N is X(k). When X(k) is given and x(n) is computed from it, the length…

The inverse z-transform & Response of Linear Discrete Systems

The inverse z-transform & Response of Linear Discrete Systems 1. Unit step response of the system described by the equation y(n) +y(n-1) =x(n) is: a) z2/(z+1)(z-1) b) z/(z+1)(z-1) c) z+1/z-1…

The Z-Transfer Function

The Z-Transfer Function 1. Consider the following statements regarding a linear discrete-time system: H (z) = z2+1/(z+0.5)(z-0.5) 1. The system is stable 2. The initial value of h(0) of the…

The Z-Transform

The Z-Transform 1. The discrete-time signal x (n) = (-1)n is periodic with fundamental period a) 6 b) 4 c) 2 d) 0 Answer: c Explanation: Period of the signal refers…

Difference Equations

Difference Equations 1. Difference equation model results in: a) Sampled-data systems b) Numerical analysis of continuous time systems c) Continuous time feedback systems d) Both a and b Answer: d…

Signal Reconstruction

Signal Reconstruction 1. Sampling can be done by: a) Impulse train sampling b) Natural sampling c) Flat-top sampling d) All of the mentioned Answer: d Explanation: Sampling is the process…