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What Do Proportional Integral and Derivative Control Do

What Do Proportional Integral and Derivative Control Do

Posted on 2026-09-152026-09-15
PID Control & Tuning, Process Control

A PID controller can look complicated when its settings are presented as a collection of terms and numbers. In day-to-day process control, however, the basic idea is easier to understand.

A process has a target condition, often called the setpoint. A measurement shows what is actually happening. When the measured condition moves away from the target, the controller decides how much adjustment is needed.

This is where proportional, integral, and derivative action come into play.

The three parts do different jobs. Proportional action reacts to the error that exists now. Integral action pays attention to an error that remains over time. Derivative action looks at how quickly the error is changing.

Thinking about them this way makes PID control much easier to follow. They are not three separate control systems competing with each other. They work together to shape how a control loop responds to changes.

Why PID Control Uses Three Different Actions

A process does not always respond immediately when an adjustment is made.

For example, consider a temperature control loop. If the measured temperature is below the target, the controller may increase heating. The temperature then begins to rise, but the effect may take some time to appear in the measurement.

A simple reaction to the current error may not be enough.

If the controller only reacts to the current difference, it may leave a small error behind. If it keeps pushing the process because that error remains, the process may move too far in the other direction. If the process is already changing quickly, a strong correction may also arrive too late.

PID control addresses these different situations through three forms of response.

Control actionMain question it considersBasic role
ProportionalHow large is the error nowResponds to the current error
IntegralHow long has the error remainedReduces persistent error
DerivativeHow quickly is the error changingAnticipates the direction of movement

The important point is that each action looks at the process from a different angle.

Proportional action is concerned with the present. Integral action considers what has happened over time. Derivative action pays attention to the direction and speed of change.

What Proportional Control Does

Proportional action is usually the easiest part of PID control to understand.

What Do Proportional Integral and Derivative Control Do

It responds to the size of the current error between the setpoint and the measured value. A larger error produces a stronger corrective response, while a smaller error produces a smaller response.

Imagine a tank level that should remain at a particular operating point. If the actual level moves noticeably below the target, proportional action calls for a stronger correction. If the difference is small, the correction becomes smaller.

This gives the control loop a direct relationship between error and response.

A useful way to think about proportional action is a spring. Pull a spring farther from its normal position and it pushes back more strongly. Move it only slightly and the restoring force is smaller.

The comparison is not exact, but it helps explain the basic behavior.

Proportional action is useful because it gives the controller an immediate response to a process change. Without it, the controller would have little direct reason to react strongly when the process moves away from the desired condition.

However, proportional action has a limitation.

A process can sometimes settle with a small difference between the actual condition and the target. The controller may stop making larger corrections because the remaining error is no longer large enough to produce a stronger response.

This is one reason integral action is used.

How Proportional Action Changes Process Response

Increasing proportional influence generally makes the controller react more strongly to an error.

That can help a process respond more quickly to a disturbance. However, stronger action is not automatically better.

If the response becomes too aggressive, the process may move past the desired condition and then correct back again. The result can be repeated movement around the target instead of a calm response.

In a real plant, this can look like a valve repeatedly opening and closing, a temperature moving above and below its target, or a pressure loop continually making noticeable corrections.

Several factors can affect what proportional action looks like in practice:

  • How quickly the process responds
  • How much delay exists between an adjustment and its effect
  • How sensitive the process is to changes
  • How much measurement noise is present
  • How much movement the final control device can make

For this reason, proportional action should be considered together with the behavior of the entire loop rather than as an isolated setting.

What Integral Control Does

Integral action deals with a different problem.

Suppose a process reaches a fairly steady condition but remains slightly away from its target. Proportional action may continue to produce a correction, but the remaining error may not be enough to move the process all the way to the desired point.

Integral action keeps track of that error over time.

If the error continues in the same direction, the integral contribution gradually becomes stronger. It effectively tells the controller that the difference has not gone away and should continue to receive attention.

Consider a heating process again. If the actual temperature remains below the target for an extended period, integral action continues building a response. Once the temperature reaches the target, the accumulated effect can help remove the remaining difference.

This makes integral action particularly useful when a process tends to settle with a persistent offset.

The key word is time.

Proportional action asks, "How far away is the process right now?"

Integral action asks, "How long has this error been present?"

That distinction is fundamental to understanding PID tuning.

Why Too Much Integral Action Can Cause Trouble

Integral action is useful, but it does not simply improve a loop without limits.

Because it accumulates error, it can become too strong when a process is slow to respond.

Imagine that a heating process is below its target. The controller increases the heating command, but the temperature takes time to respond. During that delay, the integral action continues to accumulate the error.

By the time the temperature finally starts moving, the controller may already have built up a large corrective contribution.

The process can then move beyond the target before the accumulated effect has been reduced.

This behavior is often associated with overshoot and prolonged settling.

Integral action can also become troublesome when an actuator has reached its available operating limit. The controller may continue accumulating error even though the process cannot respond in the expected way.

Practical PID control therefore requires attention to both the controller and the process equipment receiving the command.

What Derivative Control Does

Derivative action looks at the rate at which the error is changing.

Instead of focusing only on how far the process is from the target, it considers whether that difference is changing quickly or slowly.

Suppose a temperature is still below the target, but it is rising rapidly. Proportional action sees that there is still an error and continues responding to it.

Derivative action adds another piece of information: the process is already moving toward the target at a noticeable rate.

This can encourage the controller to reduce its corrective response before the process reaches the target too aggressively.

A simple everyday comparison is driving toward a stopping point.

If a vehicle is far from a stop sign, distance matters. But once the vehicle is moving quickly toward the stopping point, speed also matters. A driver who considers only distance may wait too long to slow down.

Derivative action provides a similar type of forward-looking response.

It does not actually predict the future. Instead, it uses the current rate of change to influence the control response.

Where Derivative Action Can Become Difficult

Derivative action can be useful for processes that respond quickly or have a tendency to overshoot. However, it can also react strongly to sudden changes in the measured signal.

Measurement signals are rarely perfectly smooth. Small fluctuations can come from the instrument, the process itself, or the surrounding operating environment.

Because derivative action focuses on change, these fluctuations can become noticeable in the controller response.

For this reason, derivative action needs to be considered carefully when the measurement is noisy.

It is also important to remember that not every process needs a strong derivative contribution. Some slower processes can be controlled effectively with proportional and integral action alone.

The appropriate approach depends on the process behavior rather than on the idea that every part of PID must always have an equally strong influence.

How Proportional Integral and Derivative Work Together

The real value of PID control comes from combining the three actions.

Consider a flow control loop after the process experiences a disturbance.

Proportional action reacts to the immediate difference between the measured flow and the target.

Integral action continues working if the flow remains away from the target after the initial correction.

Derivative action considers how quickly the error is changing and can help moderate the response when the process is moving rapidly.

The three actions therefore address different stages of the same event.

Process situationProportional responseIntegral responseDerivative response
Error appears suddenlyResponds to the current differenceBegins accumulating the errorReacts to the rate of change
Error remains for some timeContinues responding to the differenceBuilds a stronger correctionResponds according to changing rate
Process approaches target quicklyResponse becomes smaller as error fallsMay continue contributingCan help reduce aggressive movement
Small persistent offset remainsMay not remove it completelyContinues correcting itMay have little effect if change is slow

This is why PID should not be viewed simply as three settings placed next to each other.

Changing one part can alter the way the other parts appear in the overall process response.

How Tuning Affects the Three Actions

PID tuning is the process of finding a suitable balance between controller response and process behavior.

There is no single setting that works equally well for every process. A liquid level loop, temperature loop, pressure loop, and flow loop can behave very differently even when the same general control principle is being used.

A practical tuning approach starts with observing the process.

Useful questions include:

  • Does the process respond quickly or slowly?
  • Is there noticeable delay after an adjustment?
  • Does the measurement fluctuate?
  • Does the process tend to overshoot the target?
  • Does a small error remain after the process settles?
  • Does the final control device respond smoothly?

These observations provide more useful information than changing settings without considering the process.

Proportional action is often considered first because it establishes the basic relationship between error and corrective response. Integral action can then address persistent offset. Derivative action may be considered when the process response benefits from attention to the rate of change.

The exact order and method can vary with the control strategy and equipment.

Common Signs of Poor PID Tuning

A poorly adjusted loop does not always fail in an obvious way. Sometimes it continues operating, but the process spends too much time correcting itself.

Common signs include:

  • Repeated movement above and below the target
  • Slow return to the desired condition after a disturbance
  • A response that is unnecessarily aggressive
  • A persistent difference between measurement and target
  • Frequent control output movement
  • Strong reactions to small measurement changes
  • Long settling periods after normal process changes

These symptoms should not automatically be blamed on PID settings.

A control loop is made up of more than a controller. The measurement device, wiring, control equipment, process conditions, actuator, and final control element can all affect the observed behavior.

A tuning problem and an equipment problem can sometimes look similar from the operator's point of view.

Why Process Behavior Matters More Than the Controller Alone

A controller cannot make a slow process behave like a fast one simply by changing its settings.

Suppose an adjustment is made to a heating process. The energy must reach the material, the material must respond, and the sensor must detect the resulting change. There may be a noticeable delay between the command and the measured result.

If the controller is tuned without considering that delay, it may continue increasing its response while waiting for an effect that has not yet reached the measurement point.

The same principle applies to flow, pressure, and level control.

The physical process always has a role in determining how the loop behaves.

This is why tuning should begin with an understanding of what the process normally does when its operating conditions change.

Practical Ways to Think About PID Tuning

PID tuning becomes easier when each action is connected to a specific problem.

If the process reacts too weakly to a current error, attention may turn toward proportional response.

If the process reaches a stable condition but consistently remains away from the target, integral action becomes more relevant.

If the process moves rapidly toward the target and tends to overshoot, derivative action may deserve attention.

This does not mean each symptom has only one possible cause. It is a starting point for investigation.

A useful working sequence is:

  1. Check the measurement first
    Make sure the signal represents what the process is actually doing.
  2. Observe the process response
    Look at what happens after a normal change rather than judging the loop from one moment.
  3. Consider proportional behavior
    Check whether the response to the current error is too weak or too aggressive.
  4. Look for persistent error
    If the process settles away from the target, consider the role of integral action.
  5. Watch the rate of change
    If the process moves rapidly or overshoots, derivative behavior may be relevant.
  6. Check the final control equipment
    A sluggish or unstable actuator can make a well-adjusted controller appear poorly tuned.
  7. Make changes carefully
    One meaningful change at a time makes the resulting process behavior easier to interpret.

Why Stable Control Is Not Always the Fastest Control

A common mistake in tuning is to treat speed as the only measure of good control.

A very fast response can look impressive at first, but if the process repeatedly overshoots and corrects itself, the overall operation may be less stable.

A slightly slower response may be more suitable when the process needs to remain steady.

This is particularly important in processes where frequent movement can create unnecessary wear or cause other operating problems.

The practical goal is not simply to make the controller react as quickly as possible. The goal is to achieve a response that matches the needs of the process.

That may mean accepting a controlled response rather than forcing the process toward the target as aggressively as possible.

How PID Actions Appear During Normal Operation

The behavior of a PID loop can change depending on what is happening in the process.

During a sudden disturbance, proportional action may provide the most visible immediate response.

As a difference remains, integral action becomes increasingly important.

When the process begins changing rapidly, derivative action can influence how strongly the controller continues to respond.

Once the process settles, the contributions from the three actions can change again.

This is why a controller may appear to behave differently during startup, normal operation, and recovery from a disturbance.

The settings have not necessarily changed. The condition of the process has changed.

Understanding this point helps prevent unnecessary adjustments based on short observations.

What to Check Before Changing PID Settings

Before changing a controller setting, it is worth checking whether the problem actually comes from the controller.

A basic review can include:

  • Confirming the measurement is credible
  • Checking for unusual process conditions
  • Looking for delayed or inconsistent actuator movement
  • Checking whether the control output reaches its expected operating range
  • Reviewing recent changes to the process
  • Looking for signal fluctuations
  • Confirming that the loop is controlling the intended process variable

If the underlying problem is a damaged sensor, restricted flow path, sticking valve, or changing process condition, changing PID settings may only hide the real issue temporarily.

Good tuning starts with a reliable picture of what the loop is actually doing.

The Practical Role of Each PID Action

The easiest way to remember PID is to connect each term with a different question.

Proportional asks: How large is the error right now?

Integral asks: How long has the error remained?

Derivative asks: How quickly is the error changing?

These questions work together to create a more complete response.

Proportional action provides the immediate reaction. Integral action deals with an error that refuses to disappear. Derivative action adds awareness of movement and can help control an aggressive response.

None of the three should be considered in isolation.

A useful PID setting is one that fits the behavior of the process, the measurement, and the equipment carrying out the control command. When those parts are considered together, tuning becomes less about chasing controller settings and more about shaping a stable and useful process response.

Tags: Controller Response

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