Event-based feedback control of nonlinear oscillators using phase response curves
Event-based feedback control of nonlinear oscillators using phase response curves
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DOI：
10.1109/cdc.2007.4434505
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发表时间：
2007-12
期刊：
影响因子：
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通讯作者：
P. Danzl;J. Moehlis
中科院分区：
文献类型：
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作者：
P. Danzl;J. Moehlis
非线性振荡器的相位响应曲线描述了由于脉冲扰动引起的振荡的相移作为扰动发生时相位的函数。我们提出了一种新的反馈控制机制，它允许人们控制振荡的相位，假设相位响应曲线是已知的，并且可以检测到每周期一次的标记事件，例如神经元放电的时间。通过分析和数值结果验证了该控制方法的有效性。这项工作代表了迈向闭环形式的脑深部电刺激的第一步，这是一种治疗神经运动障碍的方法，如帕金森病，其症状以病理性神经同步为特征。
The phase response curve for a nonlinear oscillator describes the phase-shift of the oscillation due to an impulsive perturbation as a function of the phase at which the perturbation occurs. We propose a novel feedback control mechanism which allows one to control the phase of an oscillation, assuming only that the phase response curve is known and that a once-per-period marker event, such as the time at which a neuron fires, can be detected. The effectiveness of this control method is demonstrated through analytical and numerical results. This work represents a first step toward a closed-loop form of electrical deep brain stimulation, a treatment for neuromotor disorders such as Parkinson's disease, with symptoms characterized by pathological neural synchronization.