State Space Analysis – Exercise – 1

State Space Analysis » Exercise – 1

1. The eigenvalues of the system represented by

X are :

(a)  0,0,0,0
(b)  1,1,1,1
(c)  0,0,0,-1
(d)  1,0,0,0

2. The state diagram of a system is shown in the given figure. The system is :

(a)  controllable and observable

(b)  controllable but not observable

(c)  observable but not controllable

(d)  neither controllable nor observable

3. A transfer function of a control system does not have pole-zero cancellation. Which one of the following statement is true ?

(a) system is neither controllable nor observable
(b) system is completely controllable and observable
(c) system is observable but uncontrollable
(d) system is controllable but unobservable

4. The transfer function approach is applicable to :

(a)  only linear time-invariant systems
(b)  linear time-invariant as well as time-varying systems
(c)  linear as well as nonlinear systems
(d)  all systems

5. The number of state variables of a system is equal to :

(a)  the number of integrators present in the system
(b)  the number of differentiators present in the system
(c)  the sum of the number of integrators and differentiators present in the sysytem
(d)  none of these

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