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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Main Author: Koichi Kobayashi
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2016/8249062
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spelling doaj-d8409779259f4ed0a8516ef1df24fd602020-11-24T23:30:50ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Koichi Kobayashi
spellingShingle Koichi Kobayashi
Self-Triggered Model Predictive Control for Linear Systems Based on Transmission of Control Input Sequences
Journal of Applied Mathematics
author_facet Koichi Kobayashi
author_sort Koichi Kobayashi
title 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_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_sort self-triggered model predictive control for linear systems based on transmission of control input sequences
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2016-01-01
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.
url http://dx.doi.org/10.1155/2016/8249062
work_keys_str_mv AT koichikobayashi selftriggeredmodelpredictivecontrolforlinearsystemsbasedontransmissionofcontrolinputsequences
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