First Order Systems | Control Systems 2.2
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First Order Systems | Control Systems 2.2
Learn from a comprehensive guide on understanding First Order Systems and how they respond. Learn about Control Systems, Time Response , derive Laplace Transforms and much more.
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A first-order system with a transfer function of the formK G(s) = T(s 1)(1)is subject to a combined input u(t), consisting of a unit step at t = 0 and a unit impulse at t = 6 seconds:u(t) = H(t) H(t-6)(2)The system response is shown in Figure 1.Figure 1: First-order system response to a combination step and impulse input.(a) Using the system response shown in Figure 1, determine the DC gain K and time constant T. Note that you should derive these values by considering the DC gain for the step
A first-order system with a transfer function of the formK G(s) = T(s 1)(1)is subject to a combined input u(t), consisting of a unit step at t = 0 and a unit impulse at t = 6 seconds:u(t) = H(t) H(t-6)(2)The system response is shown in Figure 1.Figure 1: First-order system response to a combination step and impulse input.(a) Using the system response shown in Figure 1, determine the DC gain K and time constant T. Note that you should derive these values by considering the DC gain for the step
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A first-order system with a transfer function of the formK G(s) = T(s 1)(1)is subject to a combined input u(t), consisting of a unit step at t = 0 and a unit impulse at t = 6 seconds:u(t) = H(t) H(t-6)(2)The system response is shown in Figure 1.Figure 1: First-order system response to a combination step and impulse input.(a) Using the system response shown in Figure 1, determine the DC gain K and time constant T. Note that you should derive these values by considering the DC gain for the step
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