- With The Constant Parameters K And K A Closed Loop Transfer Function For The Velocity Control System Was First Derived 1 (97.24 KiB) Viewed 28 times
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With the constant parameters K, and K, a closed-loop transfer function for the velocity control system was first derived. By combining the controller, power amplifier, and conveyor dynamics into one simple expression, G(s), the velocity control structure shown in Figure 1 can be simplified as the following: 10 Given that G (s) 324971Kand K, are constant parameters, pwr G (s) plant $+10 + K G(s) = (K, +) K P pwr (S)G (s) plant 250(K S+K) s(s+10)(+1) 250(K S+K) s +11s +10 Equation 1 The following is the formula for calculating a closed loop transfer function VC(s), where N(s) is the numerator and D() is the denominator: V() Va(s) CL V. (S) N(S) D(3) N(S) D(S) + N(S) Equation 2 CL = The closed loop transfer function V (s) can be defined as follows using the formula for a closed loop transfer function of the previous equation: V(s) Vc(s) 2500K $ +K) s+115'+ (10+250K)s + 250K Equation 3 V (5) P