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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.02579 |
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| _version_ | 1866918228080459776 |
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| author | Toledo-Zucco, Jesus-Pablo Gouaisbaut, Frédéric Chapput, Gaetan |
| author_facet | Toledo-Zucco, Jesus-Pablo Gouaisbaut, Frédéric Chapput, Gaetan |
| contents | This article deals with the implementation of the Smith Predictor for state feedback control in state space representation. The desired control law, obtained using partial differential equations and backstepping control, contains an integral term that has to be approximated for implementation. In this article, we propose a new way to implement this control law using a dynamic controller. The control law is composed of a state feedback term and a dynamic term that approaches the integral term that has to be estimated for implementation. Using a Lyapunov functional, we provide sufficient conditions, in terms of a linear matrix inequality, to guarantee that the closed-loop system is stable when the proposed control law is applied. We use three examples, taken from the literature, to show the benefits of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02579 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reduced-order Smith predictor for state feedback control with guaranteed stability Toledo-Zucco, Jesus-Pablo Gouaisbaut, Frédéric Chapput, Gaetan Systems and Control Dynamical Systems This article deals with the implementation of the Smith Predictor for state feedback control in state space representation. The desired control law, obtained using partial differential equations and backstepping control, contains an integral term that has to be approximated for implementation. In this article, we propose a new way to implement this control law using a dynamic controller. The control law is composed of a state feedback term and a dynamic term that approaches the integral term that has to be estimated for implementation. Using a Lyapunov functional, we provide sufficient conditions, in terms of a linear matrix inequality, to guarantee that the closed-loop system is stable when the proposed control law is applied. We use three examples, taken from the literature, to show the benefits of the proposed approach. |
| title | Reduced-order Smith predictor for state feedback control with guaranteed stability |
| topic | Systems and Control Dynamical Systems |
| url | https://arxiv.org/abs/2512.02579 |