Question

A linear time invariant single input single output system has the state space model given by dx/dt=Fx+Gu, y=Hz, where . Here, x is the state vector, u is the input, and y is the output. The damping ratio of the system is:

(a) 0.25

(b) 0.5

(c) 1

(d) 2

The question was posed to me by my school principal while I was bunking the class.

I'd like to ask this question from State Variable Analysis topic in division Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer 1

The correct option is (b) 0.5

To explain I would say: T(s) = 1/(s^2+2s+4)

G = 0.5.