Problem 5 Consider the basic feedback system of Figure 11.3(a) on p819 of O& w Determine the closed-loop system impulse response when G(s) Problem 6 Consider a system whose output, y(t), is characterized by a memoryless non- linear function of its input, w(t)as shown below 123 We can see that the function f(w(t))=y(t) has a deadzone when the magnitude of the input w(t) is less than unity and saturates when the magnitude of the input exceeds 2 In this problem, we would like to see how to reduce this nonlinearity by feedback. Consider the following feedback system (t) x(t)—( f() y(t) KProblem 5 Consider the basic feedback system of Figure 11.3 (a) on p.819 of O&W. Determine the closed-loop system impulse response when 1 2 H(s) = , G(s) = . s + 5 s + 2 Problem 6 Consider a system whose output, y(t), is characterized by a memoryless non￾linear function of its input, w(t) as shown below: y = f(w) 1 2 3 4 5 6 3 4 5 6 −6 −5 −4 −3 −2 −1 w 5 −5 We can see that the function f(w(t)) = y(t) has a deadzone when the magnitude of the input w(t) is less than unity and saturates when the magnitude of the input exceeds 2. In this problem, we would like to see how to reduce this nonlinearity by feedback. Consider the following feedback system: x(t) + K1 w(t) f(·) y(t) K2 − 3