A digital PID controller based on Grünwald-Letnikov fractional-, variable-order operator
| Autor: | Małgorzata Wyrwas, Piotr Oziablo, Dorota Mozyrska |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
PID controller 02 engineering and technology Function (mathematics) 020901 industrial engineering & automation Control theory 0202 electrical engineering electronic engineering information engineering Order operator 020201 artificial intelligence & image processing MATLAB computer Mathematics computer.programming_language Variable (mathematics) |
| Zdroj: | MMAR |
| DOI: | 10.1109/mmar.2019.8864688 |
| Popis: | The paper presents an example of implementation of a digital PID controller with Griinwald-Letnikov fractional-, variable-order summations and differences. The method of finding values of orders and parameters K p , K i , K d of such controller for considered plant model is presented. Two summation performance criteria are used to evaluate the results achieved with the usage of fractional-, variable-order PID controller tuned by proposed algorithm. Mentioned criteria are integral squared time weighted error (SSTE) and integral squared time-squared weighted error (SST2E). Additionally the results are compared with the ones obtained with PID controller tuned using Ziegler-Nichols method, PID controller tuned with Matlab pidtune function and PID controller which coefficients were tuned by minimising mentioned SSTE and SST2E errors with Nelder-Mead method (implemented by Matlab fminsearch function). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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