Consider the circuit shown in Figure CP3.3. Determine the transfer function Vo(s)/Vm(s)
Chapter 0, Problem CP3.3(choose chapter or problem)
Consider the circuit shown in Figure CP3.3. Determine the transfer function Vo(s)/Vm(s). Assume an ideal op-amp. (a) Determine the state variable representation when 7?i = 1 kXl, R2 = 10 kfl, C, = 0.5 mF, and C2 = 0.1 mF. (b) Using the state variable representation from part (a), plot the unit step response with the step function. u(t) = -Kx(r) + r(/), where r(t) is the reference input. Determine K =[K\ K2\ so that the closed-loop system x(/) = [A - BK]x(/) + Br(t) y(t) = Cx(0 possesses closed-loop eigenvalues at /j and r2. Note that if /*! = cr 4- jw is a complex number, then r2 = a jw is its complex conjugate.
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