Universidad Nacional de Colombia, Facultad de Minas, Grupo GITA, Cra. 80# 65-223, Medellín, Colombia.
INTEC-Facultad de Ingeniería Química (UNL-CONICET), Güemes 3450, 3000 Santa Fe, Argentina; Universidad Nacional de Colombia, Facultad de Minas, Grupo GITA, Cra. 80# 65-223, Medellín, Colombia.
ISA Trans. 2020 Jun;101:91-101. doi: 10.1016/j.isatra.2020.01.005. Epub 2020 Jan 9.
In various biomedical applications, drug administration treatment can be modeled as an impulsive control system. Despite the development of different control strategies for impulsive systems, the elimination of the offset generated by a plant-model mismatch has not yet been researched. In biomedical systems, this mismatch is a consequence of physiological changes and can result in inaccurate treatment of patients. Therefore, control techniques that accomplish the objectives by compensating the effect of variations are required. The present paper proposes and substantiates a novel offset-free model predictive control (MPC) strategy for impulsive systems. To that aim, an impulsive disturbance model is introduced, and an observer design is developed that includes new observability criteria for estimating the disturbance and the state. Further, it is demonstrated that the proposed control strategy achieves zero offset tracking from an analysis of the observer and the controller at steady state. Additionally, the controller incorporates a recent MPC formulation to steer the state to an equilibrium set using artificial/intermediary variables to achieve nonzero regulation. Finally, these results are evaluated and illustrated using a dynamical model for type 1 diabetic patients.
在各种生物医学应用中，药物给药治疗可以建模为脉冲控制系统。尽管已经为脉冲系统开发了不同的控制策略，但尚未研究消除由植物模型失配产生的偏移。在生物医学系统中，这种失配是生理变化的结果，可能导致对患者的治疗不准确。因此，需要通过补偿变化的影响来实现控制技术。本文提出并证明了一种用于脉冲系统的新型无偏置模型预测控制（MPC）策略。为此，引入了脉冲干扰模型，并开发了一种观测器设计，该设计包括用于估计干扰和状态的新可观测性准则。此外，从观测器和控制器在稳态时的分析表明，所提出的控制策略能够实现零偏跟踪。此外，该控制器采用了最近的 MPC 公式，通过使用人工/中间变量将状态引导到平衡集，从而实现非零调节。最后，使用 1 型糖尿病患者的动力学模型对这些结果进行了评估和说明。
