Continuous-Time Perfect Control Algorithm—A State Feedback Approach
In this paper, a new approach to the continuous-time perfect control algorithm is given. Focusing on the output derivative, it is shown that the discussed control law can effectively be implemented in terms of state-feedback scenarios. Moreover, the application of nonunique matrix inverses is also t...
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MDPI AG
2021-08-01
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Series: | Applied Sciences |
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Online Access: | https://www.mdpi.com/2076-3417/11/16/7466 |
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author | Marek Krok Wojciech P. Hunek Paweł Majewski |
author_facet | Marek Krok Wojciech P. Hunek Paweł Majewski |
author_sort | Marek Krok |
collection | DOAJ |
description | In this paper, a new approach to the continuous-time perfect control algorithm is given. Focusing on the output derivative, it is shown that the discussed control law can effectively be implemented in terms of state-feedback scenarios. Moreover, the application of nonunique matrix inverses is also taken into consideration during the perfect control design process. Simulation examples given within this work allow us to showcase the main properties obtained for continuous-time perfect control closed-loop plants. |
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id | doaj.art-47a5e0bae0934c18a0829d0d0f0c0106 |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-10T09:02:16Z |
publishDate | 2021-08-01 |
publisher | MDPI AG |
record_format | Article |
series | Applied Sciences |
spelling | doaj.art-47a5e0bae0934c18a0829d0d0f0c01062023-11-22T06:42:05ZengMDPI AGApplied Sciences2076-34172021-08-011116746610.3390/app11167466Continuous-Time Perfect Control Algorithm—A State Feedback ApproachMarek Krok0Wojciech P. Hunek1Paweł Majewski2Department of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandDepartment of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandDepartment of Control Science and Engineering, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandIn this paper, a new approach to the continuous-time perfect control algorithm is given. Focusing on the output derivative, it is shown that the discussed control law can effectively be implemented in terms of state-feedback scenarios. Moreover, the application of nonunique matrix inverses is also taken into consideration during the perfect control design process. Simulation examples given within this work allow us to showcase the main properties obtained for continuous-time perfect control closed-loop plants.https://www.mdpi.com/2076-3417/11/16/7466perfect controlcontinuous-time systemsstate-space descriptionstate feedbacknonunique matrix inversesstability |
spellingShingle | Marek Krok Wojciech P. Hunek Paweł Majewski Continuous-Time Perfect Control Algorithm—A State Feedback Approach Applied Sciences perfect control continuous-time systems state-space description state feedback nonunique matrix inverses stability |
title | Continuous-Time Perfect Control Algorithm—A State Feedback Approach |
title_full | Continuous-Time Perfect Control Algorithm—A State Feedback Approach |
title_fullStr | Continuous-Time Perfect Control Algorithm—A State Feedback Approach |
title_full_unstemmed | Continuous-Time Perfect Control Algorithm—A State Feedback Approach |
title_short | Continuous-Time Perfect Control Algorithm—A State Feedback Approach |
title_sort | continuous time perfect control algorithm a state feedback approach |
topic | perfect control continuous-time systems state-space description state feedback nonunique matrix inverses stability |
url | https://www.mdpi.com/2076-3417/11/16/7466 |
work_keys_str_mv | AT marekkrok continuoustimeperfectcontrolalgorithmastatefeedbackapproach AT wojciechphunek continuoustimeperfectcontrolalgorithmastatefeedbackapproach AT pawełmajewski continuoustimeperfectcontrolalgorithmastatefeedbackapproach |