Uncontrolled seizures may lead to irreversible damages in the brain and various limitations in the patient’s life. There exist experimental studies to stabilize the patient seizures. However, the experimental setups have many sensory devices to measure the dynamics of the brain cortex. These equipments prevent to produce small portable stabilizers for patients in everyday life. Recently, a comprehensive cortex model is introduced to apply model-based observers and controllers. However, this cortex model can be uncertain and have time-varying parameters. Therefore, in this paper, a robust Takagi–Sugeno (TS) controller and observer are designed to suppress the epileptic seizures without sensory measurements. The unavailable sensory measurements are provided by the designed nonlinear observer. The exponential convergence of the observer and controller is satisfied by the feedback parameter design using linear matrix inequalities. In addition, TS fuzzy observer–controller design has been compared with the conventional PID method in terms of control performance and design problem. The numerical computations show that the epileptic seizures are more effectively suppressed by the TS fuzzy observer-based controller under uncertain membrane potential dynamics.

中文翻译：

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基于模型的癫痫发作的稳健抑制，无需感觉测量

不受控制的癫痫发作可能导致大脑不可逆转的损害，并影响患者的生活。有实验研究来稳定患者的癫痫发作。但是，实验装置具有许多传感设备来测量大脑皮层的动力学。这些设备阻止了患者在日常生活中生产小型便携式稳定器。最近，引入了一个全面的皮质模型来应用基于模型的观察者和控制器。但是，此皮质模型可能是不确定的，并且具有随时间变化的参数。因此，在本文中，设计了一种功能强大的Takagi-Sugeno（TS）控制器和观察器，可在不进行感官测量的情况下抑制癫痫发作。无法获得的感官测量由设计的非线性观测器提供。通过使用线性矩阵不等式的反馈参数设计，可以满足观察者和控制器的指数收敛需求。此外，在控制性能和设计问题上，将TS模糊观测器-控制器设计与常规PID方法进行了比较。数值计算表明，在不确定的膜电位动态情况下，基于TS模糊观测器的控制器可以更有效地抑制癫痫发作。