Auto Pid Tuning Algorithm

This project has been created to support tuning a PID controller for a home brewing setup using CraftBeerPI.It consists of a brewing kettle simulation, a PID controller (based on Arduino PID Library) and a PID autotune algorithm (based on Arduino PID Autotune Library)

• Pid Auto Tuning
• Digital Pid Algorithm
• Pid Tuning Algorithm

Project goals

• allow users to find PID parameters which provide a sufficient basis for further manual tuning
• allow users to compare different PID parameters
• help users to understand how different PID parameters (Kp, Ki, Kd) influence a PID controller's behavior (not only limited to home brewing setups)
• speed up auto tuning

PID tuning refers to the parameters adjustment of a proportional-integral-derivative control algorithm used in most repraps for hot ends and heated beds. PID needs to have a P, I and D. Oct 13, 2007  pid auto tuning algorithm I need PID autotuning in C code for my thesis. Please give its for me. 1 members found this post helpful. 20th June 2004, 14:57 #10.

1. A proportional–integral–derivative controller (PID controller or three-term controller) is a control loop mechanism employing feedback that is widely used in industrial control systems and a variety of other applications requiring continuously modulated control.
2. The ideal algorithm is the canonical textbook algorithm and is the basis for nearly all PID controller algorithm derivatives, however, the standard algorithm is much more versatile, common, and perhaps intuitive. In nearly all cases, PID.

PID comparison

Compare different PID parameters using the default kettle setup:
sim.py --pid 'reference' 98 0.66 230 --pid 'Kp too low' 30 0.66 230 --pid 'Ki too low' 98 0.01 230

PID autotune simulation

Simulate a PID autotune run on a 50l kettle with a 4 kW heater:
sim.py --atune --volume 50 --power 4

Generated PID parameters using different tuning rules:

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Options

1. Install git and python3
2. Clone this repository:
   git clone https://github.com/hirschmann/pid-autotune.git
3. Install project dependencies:
   pip install matplotlib

After you have completed these steps, you should be able to run sim.py as shown above. If plots are not shown, you have to configure the matplotlib backend, see What is a backend?

In control theory a self-tuning system is capable of optimizing its own internal running parameters in order to maximize or minimize the fulfilment of an objective function; typically the maximization of efficiency or error minimization.

Pid Auto Tuning

Self-tuning and auto-tuning often refer to the same concept. Many software research groups consider auto-tuning the proper nomenclature.

Self-tuning systems typically exhibit non-linearadaptive control. Self-tuning systems have been a hallmark of the aerospace industry for decades, as this sort of feedback is necessary to generate optimal multi-variable control for non-linear processes. In the telecommunications industry, adaptive communications are often used to dynamically modify operational system parameters to maximize efficiency and robustness.

Examples[edit]

Digital Pid Algorithm

Examples of self-tuning systems in computing include:

• TCP (Transmission Control Protocol)
• Microsoft SQL Server (Newer implementations only)
• FFTW (Fastest Fourier Transform in the West)
• ATLAS (Automatically Tuned Linear Algebra Software)
• libtune (Tunables library for Linux)
• PhiPAC (Self Tuning Linear Algebra Software for RISC)
• MILEPOST GCC (Machine learning based self-tuning compiler)

Performance benefits can be substantial. Professor Jack Dongarra, an American computer scientist, claims self-tuning boosts performance, often on the order of 300%^[1].

Digital self-tuning controllers are an example of self-tuning systems at the hardware level.

Architecture[edit]

Self-tuning systems are typically composed of four components: expectations, measurement, analysis, and actions. The expectations describe how the system should behave given exogenous conditions.

Measurements gather data about the conditions and behaviour. Analysis helps determine whether the expectations are being met- and which subsequent actions should be performed. Common actions are gathering more data and performing dynamic reconfiguration of the system.

Self-tuning (self-adapting) systems of automatic control are systems whereby adaptation to randomly changing conditions is performed by means of automatically changing parameters or via automatically determining their optimum configuration ^[2]. In any non-self-tuning automatic control system there are parameters which have an influence on system stability and control quality and which can be tuned. If these parameters remain constant whilst operating conditions (such as input signals or different characteristics of controlled objects) are substantially varying, control can degrade or even become unstable. Manual tuning is often cumbersome and sometimes impossible. In such cases, not only is using self-tuning systems technically and economically worthwhile, but it could be the only means of robust control. Self-tuning systems can be with or without parameter determination.

In systems with parameter determination the required level of control quality is achieved by automatically searching for an optimum (in some sense) set of parameter values. Control quality is described by a generalised characteristic which is usually a complex and not completely known or stable function of the primary parameters. This characteristic is either measured directly or computed based on the primary parameter values. The parameters are then tentatively varied. An analysis of the control quality characteristic oscillations caused by the varying of the parameters makes it possible to figure out if the parameters have optimum values, i.e. if those values deliver extreme (minimum or maximum) values of the control quality characteristic. If the characteristic values deviate from an extremum, the parameters need to be varied until optimum values are found. Self-tuning systems with parameter determination can reliably operate in environments characterised by wide variations of exogenous conditions.

Pid Tuning Algorithm

In practice systems with parameter determination require considerable time to find an optimum tuning, i.e. time necessary for self-tuning in such systems is bounded from below. Self-tuning systems without parameter determination do not have this disadvantage. In such systems, some characteristic of control quality is used (e.g., the first time derivative of a controlled parameter). Automatic tuning makes sure that this characteristic is kept within given bounds. Different self-tuning systems without parameter determination exist that are based on controlling transitional processes, frequency characteristics, etc. All of those are examples of closed-circuit self-tuning systems, whereby parameters are automatically corrected every time the quality characteristic value falls outside the allowable bounds. In contrast, open-circuit self-tuning systems are systems with para-metrical compensation, whereby input signal itself is controlled and system parameters are changed according to a specified procedure. This type of self-tuning can be close to instantaneous. However, in order to realise such self-tuning one needs to control the environment in which the system operates and a good enough understanding of how the environment influences the controlled system is required.

In practice self-tuning is done through the use of specialised hardware or adaptive software algorithms. Giving software the ability to self-tune (adapt):

1. Facilitates controlling critical processes of systems;
2. Approaches optimum operation regimes;
3. Facilitates design unification of control systems;
4. Shortens the lead times of system testing and tuning;
5. Lowers the criticality of technological requirements on control systems by making the systems more robust;
6. Saves personnel time for system tuning.

Literature[edit]

1. ^http://appliedmathematician.org/pdf/news/781.pdf Faster than a Speeding Algorithm
2. ^http://bse.sci-lib.com/article099233.html Big Soviet Encyclopedia, Self-Tuning Systems (in Russian)

External links[edit]

• Frigo, M. and Johnson, S. G., 'The design and implementation of FFTW3', Proceedings of the IEEE, 93(2), February 2005, 216 - 231. doi:10.1109/JPROC.2004.840301.