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**Self-triggered model predictive control for linear systems based on transmission of control input sequences.**
*(English)*
Zbl 1435.93101

Summary: 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.

### MSC:

93C57 | Sampled-data control/observation systems |

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\textit{K. Kobayashi}, J. Appl. Math. 2016, Article ID 8249062, 7 p. (2016; Zbl 1435.93101)

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