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 differentialequation:4dc(t) + c(t) = 5m(t)dtA proportional controller is used to control the process. The controller has the forme(t)=r(t)- c(t)m(t) = Kpe(t)1. Since this is a first order system, provide expression for the timeconstant.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 that is to be controlled is defined by the following differential equation. 4dctdt+ct=5mt…

Answered: A process to be controlled has output…

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

A process to be controlled has output c(t) and is modeled by the following differential
equation:
4dc(t) + c(t) = 5m(t)
dt
A proportional controller is used to control the process. The controller has the form
e(t)=r(t)- c(t)
m(t) = Kpe(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

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