Continuous-Time Perfect Control Algorithm—A State Feedback Approach

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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Bibliographic Details
Main Authors: Marek Krok, Wojciech P. Hunek, Paweł Majewski
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Applied Sciences
Subjects:
perfect control
continuous-time systems
state-space description
state feedback
nonunique matrix inverses
stability
Online Access:https://www.mdpi.com/2076-3417/11/16/7466
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spelling doaj-47a5e0bae0934c18a0829d0d0f0c01062021-08-26T13:30:08ZengMDPI AGApplied Sciences2076-34172021-08-01117466746610.3390/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
collection DOAJ
language English
format Article
sources DOAJ
author Marek Krok
Wojciech P. Hunek
Paweł Majewski
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
author_facet Marek Krok
Wojciech P. Hunek
Paweł Majewski
author_sort Marek Krok
title Continuous-Time Perfect Control Algorithm—A State Feedback Approach
title_short 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_sort continuous-time perfect control algorithm—a state feedback approach
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2021-08-01
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.
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
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