A Precise Stabilization Method for Linear Stochastic Time-Delay Systems
Based on ensuring the steady-state performance of the system, some dynamic performance indicators that have not yet been realized in linear stochastic systems with time-delay are discussed in this paper. First, in view of the relationship between system eigenvalues and system performances, the regio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/11/11/325 |
| _version_ | 1797469538891071488 |
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| author | Huasheng Zhang Changan Shao Han Geng Tingting Zhang |
| author_facet | Huasheng Zhang Changan Shao Han Geng Tingting Zhang |
| author_sort | Huasheng Zhang |
| collection | DOAJ |
| description | Based on ensuring the steady-state performance of the system, some dynamic performance indicators that have not yet been realized in linear stochastic systems with time-delay are discussed in this paper. First, in view of the relationship between system eigenvalues and system performances, the region stability is provided, which can reflect the dynamic performance of the systems. Second, the design scheme of the region stabilization controller is given based on the region stability, so that the closed-loop system has the corresponding dynamic performance. Third, this paper also designs an algorithm to deal with the situation in which the eigenvalues are located in the non-connected region in order to obtain more accurate control system dynamic performance. Finally, an example shows how the precise control method dominates the dynamic performance of the system. |
| first_indexed | 2024-03-09T19:21:48Z |
| format | Article |
| id | doaj.art-39b69d72ea45477f8093fe0c71cd61ef |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-09T19:21:48Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-39b69d72ea45477f8093fe0c71cd61ef2023-11-24T03:14:47ZengMDPI AGActuators2076-08252022-11-01111132510.3390/act11110325A Precise Stabilization Method for Linear Stochastic Time-Delay SystemsHuasheng Zhang0Changan Shao1Han Geng2Tingting Zhang3The School of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaThe School of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaThe School of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaThe School of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaBased on ensuring the steady-state performance of the system, some dynamic performance indicators that have not yet been realized in linear stochastic systems with time-delay are discussed in this paper. First, in view of the relationship between system eigenvalues and system performances, the region stability is provided, which can reflect the dynamic performance of the systems. Second, the design scheme of the region stabilization controller is given based on the region stability, so that the closed-loop system has the corresponding dynamic performance. Third, this paper also designs an algorithm to deal with the situation in which the eigenvalues are located in the non-connected region in order to obtain more accurate control system dynamic performance. Finally, an example shows how the precise control method dominates the dynamic performance of the system.https://www.mdpi.com/2076-0825/11/11/325linear stochastic time-delay systemdamping coefficientconvergence rateregion stabilityregion stabilization |
| spellingShingle | Huasheng Zhang Changan Shao Han Geng Tingting Zhang A Precise Stabilization Method for Linear Stochastic Time-Delay Systems Actuators linear stochastic time-delay system damping coefficient convergence rate region stability region stabilization |
| title | A Precise Stabilization Method for Linear Stochastic Time-Delay Systems |
| title_full | A Precise Stabilization Method for Linear Stochastic Time-Delay Systems |
| title_fullStr | A Precise Stabilization Method for Linear Stochastic Time-Delay Systems |
| title_full_unstemmed | A Precise Stabilization Method for Linear Stochastic Time-Delay Systems |
| title_short | A Precise Stabilization Method for Linear Stochastic Time-Delay Systems |
| title_sort | precise stabilization method for linear stochastic time delay systems |
| topic | linear stochastic time-delay system damping coefficient convergence rate region stability region stabilization |
| url | https://www.mdpi.com/2076-0825/11/11/325 |
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