A Randomized Algorithm for Optimal PID Controllers
A randomized algorithm is suggested for the syntheses of optimal PID controllers for MIMO coupled systems, where the optimality is with respect to the H ∞ -norm, the H 2 -norm and the LQR functional, with possible system-performance specifications defined by regional pole-place...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-06-01
|
| Series: | Algorithms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1999-4893/11/6/81 |
| _version_ | 1819104339282624512 |
|---|---|
| author | Yossi Peretz |
| author_facet | Yossi Peretz |
| author_sort | Yossi Peretz |
| collection | DOAJ |
| description | A randomized algorithm is suggested for the syntheses of optimal PID controllers for MIMO coupled systems, where the optimality is with respect to the H ∞ -norm, the H 2 -norm and the LQR functional, with possible system-performance specifications defined by regional pole-placement. Other notions of optimality (e.g., mixed H 2 / H ∞ design, controller norm or controller sparsity) can be handled similarly with the suggested algorithm. The suggested method is direct and thus can be applied to continuous-time systems as well as to discrete-time systems with the obvious minor changes. The presented algorithm is a randomized algorithm, which has a proof of convergence (in probability) to a global optimum. |
| first_indexed | 2024-12-22T02:04:47Z |
| format | Article |
| id | doaj.art-da99d3cc965742e0bfeb301821fbe118 |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-12-22T02:04:47Z |
| publishDate | 2018-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-da99d3cc965742e0bfeb301821fbe1182022-12-21T18:42:34ZengMDPI AGAlgorithms1999-48932018-06-011168110.3390/a11060081a11060081A Randomized Algorithm for Optimal PID ControllersYossi Peretz0Department of Computer Sciences, Lev Academic Center, Jerusalem College of Technology, P.O.B. 16031 Jerusalem, IsraelA randomized algorithm is suggested for the syntheses of optimal PID controllers for MIMO coupled systems, where the optimality is with respect to the H ∞ -norm, the H 2 -norm and the LQR functional, with possible system-performance specifications defined by regional pole-placement. Other notions of optimality (e.g., mixed H 2 / H ∞ design, controller norm or controller sparsity) can be handled similarly with the suggested algorithm. The suggested method is direct and thus can be applied to continuous-time systems as well as to discrete-time systems with the obvious minor changes. The presented algorithm is a randomized algorithm, which has a proof of convergence (in probability) to a global optimum.http://www.mdpi.com/1999-4893/11/6/81continuous-time linear systemsdiscrete-time linear systemsstate-space representationproportional-integral-differential controllersstatic output feedbacksoptimal controllersrandomized algorithmsconvergence in probability |
| spellingShingle | Yossi Peretz A Randomized Algorithm for Optimal PID Controllers Algorithms continuous-time linear systems discrete-time linear systems state-space representation proportional-integral-differential controllers static output feedbacks optimal controllers randomized algorithms convergence in probability |
| title | A Randomized Algorithm for Optimal PID Controllers |
| title_full | A Randomized Algorithm for Optimal PID Controllers |
| title_fullStr | A Randomized Algorithm for Optimal PID Controllers |
| title_full_unstemmed | A Randomized Algorithm for Optimal PID Controllers |
| title_short | A Randomized Algorithm for Optimal PID Controllers |
| title_sort | randomized algorithm for optimal pid controllers |
| topic | continuous-time linear systems discrete-time linear systems state-space representation proportional-integral-differential controllers static output feedbacks optimal controllers randomized algorithms convergence in probability |
| url | http://www.mdpi.com/1999-4893/11/6/81 |
| work_keys_str_mv | AT yossiperetz arandomizedalgorithmforoptimalpidcontrollers AT yossiperetz randomizedalgorithmforoptimalpidcontrollers |