Observer based robust H∞ fuzzy tracking control: application to an activated sludge process
The design of an observer-based robust tracking controller is investigated and successfully applied to control an Activated Sludge Process (ASP) in this study. To this end, the Takagi–Sugeno (TS) fuzzy modeling is used to describe the dynamics of a nonlinear system with disturbance. Since the states...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
PeerJ Inc.
2021-04-01
|
| Series: | PeerJ Computer Science |
| Subjects: | |
| Online Access: | https://peerj.com/articles/cs-458.pdf |
| _version_ | 1818952807229685760 |
|---|---|
| author | Abdelmounaim Khallouq Asma Karama Mohamed Abyad |
| author_facet | Abdelmounaim Khallouq Asma Karama Mohamed Abyad |
| author_sort | Abdelmounaim Khallouq |
| collection | DOAJ |
| description | The design of an observer-based robust tracking controller is investigated and successfully applied to control an Activated Sludge Process (ASP) in this study. To this end, the Takagi–Sugeno (TS) fuzzy modeling is used to describe the dynamics of a nonlinear system with disturbance. Since the states of the system are not fully available, a fuzzy observer is designed. Based on the observed states and a reference state model, a reduced fuzzy controller for trajectory tracking purposes is then proposed. While the controller and the observer are developed, the design goal is to achieve the convergence and a guaranteed H∞ performance. By using Lyapunov and H∞ theories, sufficient conditions for synthesis of a fuzzy observer and a fuzzy controller for TS fuzzy systems are derived. Using some special manipulations, these conditions are reformulated in terms of linear matrix inequalities (LMIs) problem. Finally, the robust and effective tracking performance of the proposed controller is tested through simulations to control the dissolved oxygen and the substrate concentrations in an activated sludge process. |
| first_indexed | 2024-12-20T09:56:14Z |
| format | Article |
| id | doaj.art-eca97c176f874734bb491a09ea9f01c2 |
| institution | Directory Open Access Journal |
| issn | 2376-5992 |
| language | English |
| last_indexed | 2024-12-20T09:56:14Z |
| publishDate | 2021-04-01 |
| publisher | PeerJ Inc. |
| record_format | Article |
| series | PeerJ Computer Science |
| spelling | doaj.art-eca97c176f874734bb491a09ea9f01c22022-12-21T19:44:27ZengPeerJ Inc.PeerJ Computer Science2376-59922021-04-017e45810.7717/peerj-cs.458Observer based robust H∞ fuzzy tracking control: application to an activated sludge processAbdelmounaim KhallouqAsma KaramaMohamed AbyadThe design of an observer-based robust tracking controller is investigated and successfully applied to control an Activated Sludge Process (ASP) in this study. To this end, the Takagi–Sugeno (TS) fuzzy modeling is used to describe the dynamics of a nonlinear system with disturbance. Since the states of the system are not fully available, a fuzzy observer is designed. Based on the observed states and a reference state model, a reduced fuzzy controller for trajectory tracking purposes is then proposed. While the controller and the observer are developed, the design goal is to achieve the convergence and a guaranteed H∞ performance. By using Lyapunov and H∞ theories, sufficient conditions for synthesis of a fuzzy observer and a fuzzy controller for TS fuzzy systems are derived. Using some special manipulations, these conditions are reformulated in terms of linear matrix inequalities (LMIs) problem. Finally, the robust and effective tracking performance of the proposed controller is tested through simulations to control the dissolved oxygen and the substrate concentrations in an activated sludge process.https://peerj.com/articles/cs-458.pdfFuzzy observerPDC controlTakagi–Sugeno modelsActivated sludge process |
| spellingShingle | Abdelmounaim Khallouq Asma Karama Mohamed Abyad Observer based robust H∞ fuzzy tracking control: application to an activated sludge process PeerJ Computer Science Fuzzy observer PDC control Takagi–Sugeno models Activated sludge process |
| title | Observer based robust H∞ fuzzy tracking control: application to an activated sludge process |
| title_full | Observer based robust H∞ fuzzy tracking control: application to an activated sludge process |
| title_fullStr | Observer based robust H∞ fuzzy tracking control: application to an activated sludge process |
| title_full_unstemmed | Observer based robust H∞ fuzzy tracking control: application to an activated sludge process |
| title_short | Observer based robust H∞ fuzzy tracking control: application to an activated sludge process |
| title_sort | observer based robust h∞ fuzzy tracking control application to an activated sludge process |
| topic | Fuzzy observer PDC control Takagi–Sugeno models Activated sludge process |
| url | https://peerj.com/articles/cs-458.pdf |
| work_keys_str_mv | AT abdelmounaimkhallouq observerbasedrobusthfuzzytrackingcontrolapplicationtoanactivatedsludgeprocess AT asmakarama observerbasedrobusthfuzzytrackingcontrolapplicationtoanactivatedsludgeprocess AT mohamedabyad observerbasedrobusthfuzzytrackingcontrolapplicationtoanactivatedsludgeprocess |