Novel Approach to Preview Control for a Class of Continuous-Time Systems
This paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/745137 |
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| _version_ | 1832550231757029376 |
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| author | Fucheng Liao Yujie Xu Jiang Wu |
| author_facet | Fucheng Liao Yujie Xu Jiang Wu |
| author_sort | Fucheng Liao |
| collection | DOAJ |
| description | This paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the performance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the augmented error system is solved. Thus, the controller with preview compensation for the original system is deduced. The response speed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the validity of the proposed method. |
| format | Article |
| id | doaj-art-9e63e899051e45799a76462976892734 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-9e63e899051e45799a764629768927342025-02-03T06:07:20ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/745137745137Novel Approach to Preview Control for a Class of Continuous-Time SystemsFucheng Liao0Yujie Xu1Jiang Wu2School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Basic Course Teaching, Beijing Union University, Beijing 100101, ChinaSchool of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, ChinaThis paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the performance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the augmented error system is solved. Thus, the controller with preview compensation for the original system is deduced. The response speed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the validity of the proposed method.http://dx.doi.org/10.1155/2015/745137 |
| spellingShingle | Fucheng Liao Yujie Xu Jiang Wu Novel Approach to Preview Control for a Class of Continuous-Time Systems Journal of Control Science and Engineering |
| title | Novel Approach to Preview Control for a Class of Continuous-Time Systems |
| title_full | Novel Approach to Preview Control for a Class of Continuous-Time Systems |
| title_fullStr | Novel Approach to Preview Control for a Class of Continuous-Time Systems |
| title_full_unstemmed | Novel Approach to Preview Control for a Class of Continuous-Time Systems |
| title_short | Novel Approach to Preview Control for a Class of Continuous-Time Systems |
| title_sort | novel approach to preview control for a class of continuous time systems |
| url | http://dx.doi.org/10.1155/2015/745137 |
| work_keys_str_mv | AT fuchengliao novelapproachtopreviewcontrolforaclassofcontinuoustimesystems AT yujiexu novelapproachtopreviewcontrolforaclassofcontinuoustimesystems AT jiangwu novelapproachtopreviewcontrolforaclassofcontinuoustimesystems |