GATE 2022 : Control System Quiz 9

The state variable of a system is given by the following equation = +

y=

If the given system is said to be unobservable, the value of a should be

The state space representation of a system is given by

The transfer function of the system is

The state space variable representation of a system is given by,

The damping ratio of the system is

The state space equation of the system is . The value of initial state is x(0) = [2  -1]^T, zero input response of the system is

A unity negative feedback system is described by the following model

Find the steady-state response of the system due to the step input of 3u(t).

Consider the network shown below,

The output is I_R(t). The state space representation is