Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences
A networked control system (NCS) is a control system where components such as plants and controllers are connected through communication networks. Self-triggered control is well known as one of the control methods in NCSs and is a control method that for sampled-data control systems both the control...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/8249062 |
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| _version_ | 1850168429848297472 |
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| author | Koichi Kobayashi |
| author_facet | Koichi Kobayashi |
| author_sort | Koichi Kobayashi |
| collection | DOAJ |
| description | A networked control system (NCS) is a control system where components such as plants and controllers are connected through communication networks. Self-triggered control is well known as one of the control methods in NCSs and is a control method that for sampled-data control systems both the control input and the aperiodic sampling interval (i.e., the transmission interval) are computed simultaneously. In this paper, a self-triggered model predictive control (MPC) method for discrete-time linear systems with disturbances is proposed. In the conventional MPC method, the first one of the control input sequence obtained by solving the finite-time optimal control problem is sent and applied to the plant. In the proposed method, the first some elements of the control input sequence obtained are sent to the plant, and each element is sequentially applied to the plant. The number of elements is decided according to the effect of disturbances. In other words, transmission intervals can be controlled. Finally, the effectiveness of the proposed method is shown by numerical simulations. |
| format | Article |
| id | doaj-art-d8409779259f4ed0a8516ef1df24fd60 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d8409779259f4ed0a8516ef1df24fd602025-08-20T02:20:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/82490628249062Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input SequencesKoichi Kobayashi0Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, JapanA networked control system (NCS) is a control system where components such as plants and controllers are connected through communication networks. Self-triggered control is well known as one of the control methods in NCSs and is a control method that for sampled-data control systems both the control input and the aperiodic sampling interval (i.e., the transmission interval) are computed simultaneously. In this paper, a self-triggered model predictive control (MPC) method for discrete-time linear systems with disturbances is proposed. In the conventional MPC method, the first one of the control input sequence obtained by solving the finite-time optimal control problem is sent and applied to the plant. In the proposed method, the first some elements of the control input sequence obtained are sent to the plant, and each element is sequentially applied to the plant. The number of elements is decided according to the effect of disturbances. In other words, transmission intervals can be controlled. Finally, the effectiveness of the proposed method is shown by numerical simulations.http://dx.doi.org/10.1155/2016/8249062 |
| spellingShingle | Koichi Kobayashi Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences Journal of Applied Mathematics |
| title | Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences |
| title_full | Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences |
| title_fullStr | Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences |
| title_full_unstemmed | Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences |
| title_short | Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences |
| title_sort | self triggered model predictive control for linear systems based on transmission of control input sequences |
| url | http://dx.doi.org/10.1155/2016/8249062 |
| work_keys_str_mv | AT koichikobayashi selftriggeredmodelpredictivecontrolforlinearsystemsbasedontransmissionofcontrolinputsequences |