Thus the output of the closed-loop system clearly depends on both the closed-loop transfer function and the nature of the input. Unlike in the open loop case, the closed loop has two independent. Note also that the ratio of the output of a particular device to its input represents its gain. This transfer function relates the closed-loop system dynamics to the dynamics of the feedforward elements and feedback elements. Closed-loop System Transfer Function The Transfer Function of any electrical or electronic control system is the mathematical relationship between the systems input and its output, and hence describes the behaviour of the system. The transfer function relating C(s) to R(s) is called the closed-loop transfer function. If the feedback transfer function H(s) is unity, then the open-loop transfer function and the feedforward transfer function are the same.įor the system shown in Figure 1, the output C(s) and input R(s) are related as follows:Įliminating E(s) from these equations gives The ratio of the output C(s) to the actuating error signal E(s) is called the feedforward transfer function, so that Referring to Figure 1, the ratio of the feedback signal B(s) to the actuating error signal E(s) is called the open-loop transfer function. ![]() In the closed loop transfer function the system is represented in the form of. ![]() ![]() ![]() Open-loop transfer function and feedforward transfer function: A transfer function is a mathematical representation or to describe inputs.
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