The preview control of a corticothalamic model with disturbance

Denggui Fan; Yingxin Wang; Jiang Wu; Songan Hou; Qingyun Wang; Denggui Fan; Yingxin Wang; Jiang Wu; Songan Hou; Qingyun Wang

doi:10.3934/era.2024039

Electronic Research Archive

2024, Volume 32, Issue 2: 812-835. doi: 10.3934/era.2024039

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The preview control of a corticothalamic model with disturbance

1.
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
2.
Department of Dynamics and Control, Beihang University, Beijing 100191, China

Received: 06 November 2023 Revised: 20 December 2023 Accepted: 08 January 2024 Published: 12 January 2024

Based on a neural field network model with impulsive and random disturbances, a preview control method that makes full use of known future information is proposed to reduce the static error of the target signal and the transient oscillatory behavior of the controlled system when it receives random disturbance inputs. The preview controller for epileptic seizures is constructed, and the feasibility and effectiveness of clinical single-target and multi-target stimulation in epilepsy regulation are explored from a computational perspective. In addition, a performance index function is proposed to evaluate the energy consumption of controller with and without preview under different input (target) strategies. Suggestions for different strategies are given in terms of the individualized disease environment of patients. From the perspective of seizure control effectiveness and performance consumption, the results show that the preview controller has a greater advantage. The theory of preview control is applied to the control of epileptic seizures for the first time, and the conclusions of the multifaceted study provide some references for clinical trials and controller applications.
- thalamocortical model,
- epileptic spike and wave discharges,
- preview control,
- linear matrix inequality
Citation: Denggui Fan, Yingxin Wang, Jiang Wu, Songan Hou, Qingyun Wang. The preview control of a corticothalamic model with disturbance[J]. Electronic Research Archive, 2024, 32(2): 812-835. doi: 10.3934/era.2024039

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Abstract

Based on a neural field network model with impulsive and random disturbances, a preview control method that makes full use of known future information is proposed to reduce the static error of the target signal and the transient oscillatory behavior of the controlled system when it receives random disturbance inputs. The preview controller for epileptic seizures is constructed, and the feasibility and effectiveness of clinical single-target and multi-target stimulation in epilepsy regulation are explored from a computational perspective. In addition, a performance index function is proposed to evaluate the energy consumption of controller with and without preview under different input (target) strategies. Suggestions for different strategies are given in terms of the individualized disease environment of patients. From the perspective of seizure control effectiveness and performance consumption, the results show that the preview controller has a greater advantage. The theory of preview control is applied to the control of epileptic seizures for the first time, and the conclusions of the multifaceted study provide some references for clinical trials and controller applications.

References

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