Consider an underdamped (3 < 1) second-order transfer function system in standard form under P control. A diagram of the process is shown in the figure below. Y(s) 1.0 R(S) + Кс T²s² + 27ts + 1 3.1. Determine the closed-loop transfer function G(s) = in standard form such that G(s) = Identify the closed-loop time constant t*, damping factor 3*, and gain K*. Y(s) R(s) K* (*)²²+23**s+1 Y(s) 3.2. Show using any method you like that the closed-loop system is stable for all Kc > -1 R(s) 3.3. For safety reasons, it is critical that the closed-loop output of this system does not overshoot and is therefore overdamped. Determine the design limits for Kc for this control system such that the system is stable and overdamped

Consider an underdamped (3 < 1) second-order transfer function system in standard form under P control. A diagram of the process is shown in the figure below. Y(s) 1.0 R(S) + Кс T²s² + 27ts + 1 3.1. Determine the closed-loop transfer function G(s) = in standard form such that G(s) = Identify the closed-loop time constant t, damping factor 3, and gain K. Y(s) R(s) K (*)²²+23**s+1 Y(s) 3.2. Show using any method you like that the closed-loop system is stable for all Kc > -1 R(s) 3.3. For safety reasons, it is critical that the closed-loop output of this system does not overshoot and is therefore overdamped. Determine the design limits for Kc for this control system such that the system is stable and overdamped

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter18: Resistive-inductive Parallel Circuits

Section: Chapter Questions

Problem 13PP: In an R-L parallel circuit, IT=1.25 amps, R=1.2k, and XL=1k. Find IR

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