---
title: Incatools blog | PID control equations
description: PID control equations |
---

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# Incatools blog

## [Smith Predictor: when to use it and how to tune it](https://blog.incatools.com/advanced-process-control-pid-tuning-is-the-first-step-3-0)

 Posted by [Didac Recio](https://blog.incatools.com/author/didac-recio) on Sep 20, 2022 11:33:36 AM

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[![](https://blog.incatools.com/hubfs/Smith%20Predictor-1.jpg)](https://blog.incatools.com/advanced-process-control-pid-tuning-is-the-first-step-3-0)

From refineries to petrochemical and chemical industries, the Smith predictor is used to improve the control of processes with a long dead time. The delayed behavior of the process is compensated by using an approximated model in the control structure. It is common for process control engineers to evaluate the need for such control structures and keep them performant. This blog explains the consequences of a long process dead time and what tools to use when tuning your Smith Predictor. 

[Read More](https://blog.incatools.com/advanced-process-control-pid-tuning-is-the-first-step-3-0)

 Topics: [PID tuning](https://blog.incatools.com/tag/pid-tuning), [PID tuning methods](https://blog.incatools.com/tag/pid-tuning-methods), [PID control equations](https://blog.incatools.com/tag/pid-control-equations)

## [PID control Equations: Do you know the difference?](https://blog.incatools.com/pid-control-equations-do-you-know-the-difference)

 Posted by [Christiaan Moons](https://blog.incatools.com/author/christiaan-moons) on Jan 4, 2021 11:44:21 AM

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[![](https://blog.incatools.com/hubfs/Blog%20images/PID%20Equations%20series+parallel.png)](https://blog.incatools.com/pid-control-equations-do-you-know-the-difference)

The principle of PID is very simple. Three subsets (P, I, D) of one equation that each have their [own task](https://www.incatools.com/pid-tuning/). Nevertheless, the PID formula in your DCS/PLC can have many forms. The most common equations are the series and parallel equation. In this blog we'll show you that it's extremely important to know the different formulas to tune your controller. 

[Read More](https://blog.incatools.com/pid-control-equations-do-you-know-the-difference)

 Topics: [PID tuning](https://blog.incatools.com/tag/pid-tuning), [PID control equations](https://blog.incatools.com/tag/pid-control-equations)

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