Solvability of the Output Corridor Control Problem by Pulse-Modulated Feedback
脉冲调制反馈下输出走廊控制问题的可解性
Alexander Medvedev, Anton V. Proskurnikov
AI总结 针对具有特定结构的三阶正系统,证明脉冲调制反馈在稳态下总能解决输出走廊控制问题,并用于评估药代动力学-药效学模型的患者安全性可行性。
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- shortened version will be presented at IFAC World Congress 2026, Busan, Korea
本文处理了将正时不变单输入单输出系统的输出维持在预定义走廊内的问题。对于具有特定结构的三阶系统,证明了在稳态条件下通过脉冲调制反馈该问题总是可解的。所得结果用于评估患者特异性药代动力学-药效学模型在患者安全性方面的可行性。研究了一组捕捉神经肌肉阻滞剂动态的Wiener模型,以探讨是否可以通过临床可接受的序贯药物剂量(推注)将其驱动到期望的输出走廊。结果表明,非线性药效学部分的一个参数的低值是导致检测到的模型不可行性的原因。
The problem of maintaining the output of a positive time-invariant single-input single-output system within a predefined corridor of values is treated. For third-order plants possessing a certain structure, it is proven that the problem is always solvable under stationary conditions by means of pulse-modulated feedback. The obtained result is utilized to assess the feasibility of patient-specific pharmacokinetic-pharmacodynamic models with respect to patient safety. A population of Wiener models capturing the dynamics of a neuromuscular blockade agent is studied to investigate whether or not they can be driven into the desired output corridor by clinically acceptable sequential drug doses (boluses). It is demonstrated that low values of a parameter in the nonlinear pharmacodynamic part lie behind the detected model infeasibility.