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) 2The 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

A linear time invariant single input single output system has the stat

1.	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) 2The 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» The CORRECT option is (B) 0.5 To explain I WOULD say: T(s) = 1/(s^2+2s+4) G = 0.5.

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