A process to be controlled has output c(t) and is modeled by the following differential equation: 4 dc(t) dt A proportional controller is used to control the process. The controller has the form e(t)=r(t)- c(t) m(t) = K pe(t) -+ c(t) = 5m(t) 1. Since this is a first order system, provide expression for the time constant. 2. Provide a state space representation of the system. 3. Obtain the transfer function of the system using the state space model. 4. Determine the control gain Kp that results in steady-state error of 0.1
A process to be controlled has output c(t) and is modeled by the following differential equation: 4 dc(t) dt A proportional controller is used to control the process. The controller has the form e(t)=r(t)- c(t) m(t) = K pe(t) -+ c(t) = 5m(t) 1. Since this is a first order system, provide expression for the time constant. 2. Provide a state space representation of the system. 3. Obtain the transfer function of the system using the state space model. 4. Determine the control gain Kp that results in steady-state error of 0.1
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1. Since this is a first order system, provide expression for the time constant.
2. Provide a state space representation of the system.
3. Obtain the transfer function of the system using the state space model.
4. Determine the control gain Kp that results in steady-state error of 0.1
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