PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing
Several parameter tables for PID controllers are known from the literature, for the control of time-delayed systems. The best known is that of Ziegler and Nichols, but there are others also. In this publication, a parameter table is presented that minimizes the quality criteria IAE, ITAE and ISE for...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
|
| Series: | Signals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2624-6120/3/1/10 |
| _version_ | 1797442181749800960 |
|---|---|
| author | Roland Büchi |
| author_facet | Roland Büchi |
| author_sort | Roland Büchi |
| collection | DOAJ |
| description | Several parameter tables for PID controllers are known from the literature, for the control of time-delayed systems. The best known is that of Ziegler and Nichols, but there are others also. In this publication, a parameter table is presented that minimizes the quality criteria IAE, ITAE and ISE for the control of time-delayed systems that can be identified with PTn systems. The controller output limitation is also taken into account. Since it is very computationally intensive to calculate these PID parameter sets, a well-known approach from the field of artificial intelligence was chosen. This was hill-climbing, which can find the parameter sets with much less computational effort than is needed for nested loops. With this method, the PID parameter tables for the minimized quality criteria were found and compared, each on the basis of many randomized starting parameter values. The application of the hill-climbing method shows rapid convergence. The parameters are discussed with two examples of time-delayed systems: a PT3 and a PT5. The results are regulated systems which show very good transient behavior. Furthermore, it is also possible to use the procedure presented for optimal PID parameters to control general, stable systems. |
| first_indexed | 2024-03-09T12:38:07Z |
| format | Article |
| id | doaj.art-a4ec134a60fd4a238caf9502b96a5836 |
| institution | Directory Open Access Journal |
| issn | 2624-6120 |
| language | English |
| last_indexed | 2024-03-09T12:38:07Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Signals |
| spelling | doaj.art-a4ec134a60fd4a238caf9502b96a58362023-11-30T22:22:01ZengMDPI AGSignals2624-61202022-03-013114615610.3390/signals3010010PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-ClimbingRoland Büchi0School of Engineering, Zurich University of Applied Sciences, 8400 Winterthur, SwitzerlandSeveral parameter tables for PID controllers are known from the literature, for the control of time-delayed systems. The best known is that of Ziegler and Nichols, but there are others also. In this publication, a parameter table is presented that minimizes the quality criteria IAE, ITAE and ISE for the control of time-delayed systems that can be identified with PTn systems. The controller output limitation is also taken into account. Since it is very computationally intensive to calculate these PID parameter sets, a well-known approach from the field of artificial intelligence was chosen. This was hill-climbing, which can find the parameter sets with much less computational effort than is needed for nested loops. With this method, the PID parameter tables for the minimized quality criteria were found and compared, each on the basis of many randomized starting parameter values. The application of the hill-climbing method shows rapid convergence. The parameters are discussed with two examples of time-delayed systems: a PT3 and a PT5. The results are regulated systems which show very good transient behavior. Furthermore, it is also possible to use the procedure presented for optimal PID parameters to control general, stable systems.https://www.mdpi.com/2624-6120/3/1/10ITAEIAEISEPID controllerPTn systemhill-climbing |
| spellingShingle | Roland Büchi PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing Signals ITAE IAE ISE PID controller PTn system hill-climbing |
| title | PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing |
| title_full | PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing |
| title_fullStr | PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing |
| title_full_unstemmed | PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing |
| title_short | PID Controller Parameter Tables for Time-Delayed Systems Optimized Using Hill-Climbing |
| title_sort | pid controller parameter tables for time delayed systems optimized using hill climbing |
| topic | ITAE IAE ISE PID controller PTn system hill-climbing |
| url | https://www.mdpi.com/2624-6120/3/1/10 |
| work_keys_str_mv | AT rolandbuchi pidcontrollerparametertablesfortimedelayedsystemsoptimizedusinghillclimbing |