Auto tuning of pid controllers
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Auto-tuning of PID controllers. Mini course at Danfoss A/S Henrik Rasmussen Department of Control Engineering Aalborg University. Content. The Satt Control auto-tuner in a distributed control system The Self-tuning Regulator concept PID-algorithm – textbook and modifications

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Auto-tuning of PID controllers

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Auto tuning of pid controllers

Auto-tuning of PID controllers

Mini course at Danfoss A/S

Henrik Rasmussen

Department of Control Engineering

Aalborg University

Auto-tuning of PID controllers


Content

Content

  • The Satt Control auto-tuner in a distributed control system

  • The Self-tuning Regulator concept

  • PID-algorithm – textbook and modifications

  • Ziegler-Nichols frequency response method

  • Relay tuning in closed loop

  • Bump-less transfer and anti integrator windup

  • Gain scheduling

  • Choice of controller type

Auto-tuning of PID controllers


References

References

  • Automatic tuning of PID controllers, Åstrøm & Hägglund

  • Adaptive Control, Åstrøm & Wittenmark

  • Automatic tuning of PID-regulators, H. Rasmussen URL, http://www.control.auc.dk/~hr

Auto-tuning of PID controllers


Auto tuning of pid controllers

Auto-tuning of PID controllers


Distributed control system

Distributed control system

Auto-tuning of PID controllers


Sattcontrol auto tuner

SattControl Auto-tuner

Auto-tuning of PID controllers


Self tuning regulator

Self Tuning Regulator

Auto-tuning of PID controllers


Textbook and modified pid algorithm

Textbook and modified PID-algorithm

The ''textbook'' version of the PID controller can be described by the

equation

Modification of ''textbook'' version

Auto-tuning of PID controllers


Controller parameters

Controller Parameters

Auto-tuning of PID controllers


Ziegler nichols ultimate period method

Ziegler-Nichols ultimate period method

Auto-tuning of PID controllers


Auto tuning based on relay feedback

Auto Tuning based on relay feedback

Auto-tuning of PID controllers


Nyquist plot

Nyquist plot

Auto-tuning of PID controllers


Phase and amplitude margin

Phase and amplitude margin

Auto-tuning of PID controllers


1 break

1. Break

Auto-tuning of PID controllers


Relay with hysteresis

Relay with hysteresis

Auto-tuning of PID controllers


Stable limit cycle

Stable limit cycle

Auto-tuning of PID controllers


Offset

Offset

Auto-tuning of PID controllers


Auto tuning of pid regulators

Auto tuning of PID regulators

Ziegler-Nichols tuning Spec. phase and amplitude margin

Auto-tuning of PID controllers


Actuator saturation

Actuator Saturation

Auto-tuning of PID controllers


Integrator windup

Integrator windup

Auto-tuning of PID controllers


Regulator modified to avoid windup

Regulator modified to avoid windup

Auto-tuning of PID controllers


Regulator modified to avoid windup1

Regulator modified to avoid windup

Auto-tuning of PID controllers


Anti windup for pid controller

Anti windup for PID controller

Auto-tuning of PID controllers


Discrete time pi controller

Discrete time PI controller

Auto-tuning of PID controllers


P and q operators

p and q operators

Auto-tuning of PID controllers


Discrete time pid controller

Discrete Time PID-controller

Auto-tuning of PID controllers


Integrator windup and bumpless transfer

Integrator windup and bumpless transfer

Auto-tuning of PID controllers


2 break

2. Break

Auto-tuning of PID controllers


Open loop step response

Open loop step response

Auto-tuning of PID controllers


Closed loop with pi control

Closed loop with PI control ?!?

Auto-tuning of PID controllers


Anti integrator windup

Anti integrator windup

Measured actuator output Estimated actuator output

Auto-tuning of PID controllers


Observer a 1 exp ts 0 1 ti

Observer: A=1-exp(-Ts/(0.1*Ti))

Auto-tuning of PID controllers


Observer a 1 exp ts ti

Observer: A=1-exp(-Ts/Ti))

Auto-tuning of PID controllers


Pi controller and a nonlinear valve

PI controller and a nonlinear valve

Auto-tuning of PID controllers


Step response for different levels

Step response for different levels

Auto-tuning of PID controllers


Pi controller with gain scheduling

PI controller with gain scheduling

Auto-tuning of PID controllers


Step response for different levels1

Step response for different levels

Auto-tuning of PID controllers


Gain scheduling principle

Gain scheduling principle

Auto-tuning of PID controllers


Bumpless transfer between controllers

Bumpless transfer between controllers

y

y

u

1

A1

ref

G

T1

A1-R1

-S1

1

A2

T2

A2-R2

-S2

Auto-tuning of PID controllers


Choice of controller

Choice of Controller

Auto-tuning of PID controllers


Conclusions

Conclusions

  • The Self-tuning Regulator concept

  • Relay experiment gives ultimate period and gain

  • Ziegler-Nichols tuning

  • Tuning based on phase and amplitude margin

  • Bump-less transfer and anti integrator windup

  • PID-algorithm – textbook and modifications

  • Gain scheduling

  • Choice of controller type

Auto-tuning of PID controllers


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