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PID Simulation with Lead/Lag and 1st Order Filter
What does this application do?
This is a simplified application for simulating the behavior of a process variable to be connected to a PID controller. This application includes executable files to perform this simulation in Studio5000 for use with Logix processors.
Is this application relevant to me?
This application can be used in Studio 5000 for Logix processors. It allows you to understand the effect of gains and different PID configuration parameters, as well as simulate simple processes for demonstration or virtual commissioning purposes.
Please note: You will need to agree to the Terms & Conditions for each download.
Need Help?
If you need help with an application or have feedback from the Innovation Center, please contact us.
General Features
In the case of Studio 5000, this application uses a Lead-Lag process block.
This will allow us to simulate the behavior of a temperature control system.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 1
The steady-state error is adjusted using the Gain parameter within the LDLG instruction.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 2
The phase delay is adjusted using the Lag parameter within the LDLG instruction.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 3
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 4
Advantages
- Simplified code
- Ease of implementation
- Impact on development time
- Cost Reduction
- Operational Efficiency
- Enables simulation and study in a secure environment
How can I make it work?
Requirements: products, tools, prior knowledge.
Software
- Studio 5000 – Logix Designer (V36.0→)
Prior Knowledge
- Basic knowledge of Studio 5000.
- Knowledge of PID Closed Loop Control Systems.
Implementation Guide
- Step 1
- Step 2
- Step 3
- Step 4
- Step 5
- Conclusion
Step 1
Implementation guide for Studio 5000.
Create a Periodic Task.
For this exercise, a 10ms trigger is used, but this time can be adjusted according to the type of process you want to simulate.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 5
Step 2
Create a Function Block Diagram type routine.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 6
Step 3
Insert the PID and LDLG instructions as shown below.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 7
Step 4
On the line connecting the LDLG block output to the PID PV, right-click and select “Assume Data Available”.
This is an important step because otherwise the controller will flag an error due to its inability to resolve the loop between these two blocks.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 8
Step 5
Adjust the PID parameters and gains according to the process you wish to simulate.
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 9
Conclusion
With this parameterization, an underdamped system with an overshoot of approximately 20% is achieved, reaching stability in three half-cycles.
However, it can be adjusted to obtain any desired behavior according to the process being simulated.
| 0 < ζ < 1 | Underdamped System |
| ζ = 1 | Critically Damped System |
| ζ > 1 | Overdamped System |
pid-simulation-with-lead-lag-and-1st-order-filter_Fig 10
PID Simulation with Lead/Lag and 1st Order Filter
Version 1.2 - July 2026
