Stabilization by Controllers Having Integer Coefficients
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908771693887488 |
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| author | Lee, Joowon Lee, Donggil Kim, Junsoo |
| author_facet | Lee, Joowon Lee, Donggil Kim, Junsoo |
| contents | The system property of ``having integer coefficients,'' that is, a transfer function has an integer monic polynomial as its denominator, is significant in the field of encrypted control as it is required for a dynamic controller to be realized over encrypted data. This paper shows that there always exists a controller with integer coefficients stabilizing a given discrete-time linear time-invariant plant. A constructive algorithm to obtain such a controller is provided, along with numerical examples. Furthermore, the proposed method is applied to converting a pre-designed controller to have integer coefficients, while the original performance is preserved in the sense that the transfer function of the closed-loop system remains unchanged. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00481 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilization by Controllers Having Integer Coefficients Lee, Joowon Lee, Donggil Kim, Junsoo Systems and Control The system property of ``having integer coefficients,'' that is, a transfer function has an integer monic polynomial as its denominator, is significant in the field of encrypted control as it is required for a dynamic controller to be realized over encrypted data. This paper shows that there always exists a controller with integer coefficients stabilizing a given discrete-time linear time-invariant plant. A constructive algorithm to obtain such a controller is provided, along with numerical examples. Furthermore, the proposed method is applied to converting a pre-designed controller to have integer coefficients, while the original performance is preserved in the sense that the transfer function of the closed-loop system remains unchanged. |
| title | Stabilization by Controllers Having Integer Coefficients |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2505.00481 |