Despite its potential use in several meaningful problems linear impulsive systems have not been extensively studied to account for dynamics in which the equilibria are out of the origin. In this work a novel characterization of the system equilibria and invariant regions-derived from the definition of two underlying discrete-time systems-is given, and based on this characterization, an unconstrained feedback control and a zone Model Predictive Control strategies are proposed. The controllers are tested in two drug administration problems: An intravenous bolus administration of Lithium ions and a nonlinear human immunodeficiency virus infection dynamics under Zidovudine treatment.

中文翻译：

---

线性脉冲系统非零设定点调节的控制策略


尽管线性脉冲系统在几个有意义的问题中具有潜在的用途，但尚未得到广泛的研究来解释平衡偏离原点的动力学。在这项工作中，给出了系统平衡和不变区域的新颖表征（源自两个底层离散时间系统的定义），并基于此表征，提出了无约束反馈控制和区域模型预测控制策略。控制器在两个药物管理问题中进行了测试：锂离子的静脉推注管理和齐多夫定治疗下的非线性人类免疫缺陷病毒感染动力学。