Consider a single-loop second-order system with unity negative feedback whose Laplace Domain response is represented mathematically...

  

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Consider a single-loop second-order system with unity negative feedback whose Laplace Domain response is represented mathematically as: Y(s) G(s) 1 + G(s) -R(s) Draw a block diagram representation and derive the above relation for Y(s). Derive the same relation for Y(s) but in terms of and w. What is the mathematical relation for Y(s) in terms of and w for a unit step input? n Also, find the transient output of the system for a unit step input. You may use the Laplace Transformation table 2.3 in your text book (Dorf. 12th Ed.). n Sketch the outline of the response graph [y(t) vs. w t] for under damped, critically damped and over damped conditions. Consider a single-loop second-order system with unity negative feedback whose Laplace Domain response is represented mathematically as: Y(s) G(s) 1 + G(s) -R(s) Draw a block diagram representation and derive the above relation for Y(s). Derive the same relation for Y(s) but in terms of and w. What is the mathematical relation for Y(s) in terms of and w for a unit step input? n Also, find the transient output of the system for a unit step input. You may use the Laplace Transformation table 2.3 in your text book (Dorf. 12th Ed.). n Sketch the outline of the response graph [y(t) vs. w t] for under damped, critically damped and over damped conditions.