# Proportional Controller Steady State Error

## Contents |

method, the control system acts in a way that the control effort is proportional to the error. You should not forget that phrase. proportional controller example The control effort is proportional to the error in a proportional

## Proportional Control Offset

control system, and that's what makes it a proportional control system. If it doesn't have that property, integral controller it isn't a proportional control systems. Heres a block diagram of such a system. In this lesson we will examine how a proportional control system works. We

## Proportional Control Theory

assume that you understand where this block diagram comes from. Click here to review the material in the introductory lesson where a typical block diagram is developed. Here's what you need to get out of this lesson. Given a closed loop, proportional control system, Determine the SSE for the closed loop system for a proportional controller pdf given proportional gain. OR Determine the proportional gain to produce a specified SSE in the system Steady State Analysis To determine SSE, we will do a steady state analysis of a typical proportional control system. Let's look at the characteristics of a proportional control system. There is an input to the entire system. In the block diagram above, the input is U(s). There is an output, Y(s), and the output is measured with a sensor of some sort. In the block diagram above, the sensor has a transfer function H(s). Examples of sensors are: Pressure sensors for pressure and height of liquids, Thermocouples for temperature, Potentiometers for angular shaft position, and tachometers for shaft speed, etc. Continuing with our discussion of proportional control systems, the criticial properties of a proportional control system are how it computes the control effort. The block diagram below shows how the computation is performed. The measured output is subtracted from the input (the desired output) to form an

Techniques - The PID Family of Controllers - Proportional Controllers Click here to return to the Table of Contents Why Not Use A Proportional Controller? Of

## Proportional Controller Basics

all the controllers you can choose to control a system, the

## Advantages Of Proportional Controller

proportional controller is the simplest of them all. If you want to implement a proportional control derivative control system, it's usually the easiest to implement. In an analog system, a proportional control system amplifies the error signal to generatethe control signal. If the error signal is https://www.facstaff.bucknell.edu/mastascu/eControlHTML/Intro/Intro2.html a voltage, and the control signal is also a voltage, then a proportional controller is just an amplifier.I In a digital control system, a proportional control system computes the error from measured output and user input to a program, and multiplies the error by a proportional constant, then generates an output/control signal from that multiplication. http://www.facstaff.bucknell.edu/mastascu/econtrolhtml/pid/pid1a.html Goals For This Lesson Proportional control is a simple and widely used method of control for many kinds of systems. When you are done with this lesson you will need to be able to use proportional control with some understanding. Your goals are as follows: Given a system you want to control with a proportional controller, Identify the system components and their function, including the comparator, controller, plant and sensor. Be able to predict how the system will respond using a proportional controller - including speed of response, accuracy (SSE) and relative stability. Be able to use the root locus to make those predictons. Be able to use frequency response analysis to make those predictions. Properties Of Proportional Controllers Proportional controllers have these properties: The controller amplifies the error as shown in the block diagram below. So, the actuating signal (the input to G(s)) is proportional to the error. In the material that f

Επιλέξτε τη γλώσσα σας. Κλείσιμο Μάθετε περισσότερα View this message in English Το YouTube εμφανίζεται στα https://www.youtube.com/watch?v=wy5yrfAmD0Q Ελληνικά. Μπορείτε να αλλάξετε αυτή την https://en.wikipedia.org/wiki/Proportional_control προτίμηση παρακάτω. Learn more You're viewing YouTube in Greek. You can change this preference below. Κλείσιμο Ναι, θέλω να τη κρατήσω Αναίρεση Κλείσιμο Αυτό proportional control το βίντεο δεν είναι διαθέσιμο. Ουρά παρακολούθησηςΟυράΟυρά παρακολούθησηςΟυρά Κατάργηση όλωνΑποσύνδεση Φόρτωση... Ουρά παρακολούθησης Ουρά __count__/__total__ Intro to Control - 11.1 Steady State Error (with Proportional Control) katkimshow ΕγγραφήΕγγραφήκατεΚατάργηση εγγραφής11.70911 χιλ. Φόρτωση... proportional controller steady Φόρτωση... Σε λειτουργία... Προσθήκη σε... Θέλετε να το δείτε ξανά αργότερα; Συνδεθείτε για να προσθέσετε το βίντεο σε playlist. Σύνδεση Κοινή χρήση Περισσότερα Αναφορά Θέλετε να αναφέρετε το βίντεο; Συνδεθείτε για να αναφέρετε ακατάλληλο περιεχόμενο. Σύνδεση Στατιστικά στοιχεία 17.456 προβολές 73 Σας αρέσει αυτό το βίντεο; Συνδεθείτε για να μετρήσει η άποψή σας. Σύνδεση 74 0 Δεν σας αρέσει αυτό το βίντεο; Συνδεθείτε για να μετρήσει η άποψή σας. Σύνδεση 1 Φόρτωση... Φόρτωση... Φόρτωση... Η δυνατότητα αξιολόγησης είναι διαθέσιμη όταν το βίντεο είναι ενοικιασμένο. Αυτή η λειτουργία δεν ε

mechanical examples are the toilet bowl float proportioning valve and the fly-ball governor. The proportional control system is more complex than an on-off control system like a bi-metallic domestic thermostat, but simpler than a proportional-integral-derivative (PID) control system used in something like an automobile cruise control. On-off control will work where the overall system has a relatively long response time, but can result in instability if the system being controlled has a rapid response time. Proportional control overcomes this by modulating the output to the controlling device, such as a continuously variable valve. An analogy to on-off control is driving a car by applying either full power or no power and varying the duty cycle, to control speed. The power would be on until the target speed is reached, and then the power would be removed, so the car reduces speed. When the speed falls below the target, with a certain hysteresis, full power would again be applied. It can be seen that this looks like pulse-width modulation, but would obviously result in poor control and large variations in speed. The more powerful the engine; the greater the instability, the heavier the car; the greater the stability. Stability may be expressed as correlating to the power-to-weight ratio of the vehicle. Proportional control is how most drivers control the speed of a car. If the car is at target speed and the speed increases slightly, the power is reduced slightly, or in proportion to the error (the actual versus target speed), so that the car reduces speed gradually and reaches the target point with very little, if any, "overshoot", so the result is much smoother control than on-off control. Further refinements like PID control would help compensate for additional variables like hills, where the amount of power needed for a given speed change would vary. This would be accounted for by the integral function of the PID control. Contents 1 Proportional Control Theory 2 Offset Error 3 Proportional Band 4 See also 5 External links Proportional Control Theory[edit] In the proportional control algorithm, the controller output is proportional to the error signal, which is the difference between the setpoint and the process variable. In other words, the