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In Figure P7.1, let G(s) = R(S) + 1350(s + 2) (s + 10) (s +32) s(s+4) (s² +8s +32) Find the steady-state errors for the following inputs: 17u(t), 32tu(t), 48t2u(t). [Section: 7.2] E(s) G(s) FIGURE P7.1 C(s)

In Figure P7.1, let G(s) = R(S) + 1350(s + 2) (s + 10) (s +32) s(s+4) (s² +8s +32) Find the steady-state errors for the following inputs: 17u(t), 32tu(t), 48t2u(t). [Section: 7.2] E(s) G(s) FIGURE P7.1 C(s)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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In Figure P7.1, let \[ G(s) = \frac{1350(s + 2)(s + 10)(s + 32)}{s(s + 4)(s^2 + 8s + 32)} \] Find the steady-state errors for the following inputs: \( 17u(t), 32tu(t), 48t^2u(t) \). [Section: 7.2] ### Diagram Explanation **Figure P7.1** depicts a block diagram of a feedback control system. The components illustrated are: - **R(s)**: The reference input signal. - **E(s)**: The error signal, calculated as the difference between the reference input and the feedback. - **G(s)**: The transfer function of the system, as given above. - **C(s)**: The output signal of the system. The diagram shows a negative feedback loop where the error signal \( E(s) \) is fed into the transfer function block \( G(s) \), yielding the output \( C(s) \). The output is subtracted from the reference input to form the error signal, closing the loop.
Transcribed Image Text:In Figure P7.1, let \[ G(s) = \frac{1350(s + 2)(s + 10)(s + 32)}{s(s + 4)(s^2 + 8s + 32)} \] Find the steady-state errors for the following inputs: \( 17u(t), 32tu(t), 48t^2u(t) \). [Section: 7.2] ### Diagram Explanation **Figure P7.1** depicts a block diagram of a feedback control system. The components illustrated are: - **R(s)**: The reference input signal. - **E(s)**: The error signal, calculated as the difference between the reference input and the feedback. - **G(s)**: The transfer function of the system, as given above. - **C(s)**: The output signal of the system. The diagram shows a negative feedback loop where the error signal \( E(s) \) is fed into the transfer function block \( G(s) \), yielding the output \( C(s) \). The output is subtracted from the reference input to form the error signal, closing the loop.
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