Limit cycle stability analysis and adaptive control of a multi-compartment model for a pressure-limited respirator and lung mechanics system

DOI10.1080/00207170903502823zbMath1197.93098OpenAlexW2130665947MaRDI QIDQ4932807

James M. Bailey, Hancao Li, Vijay Sekhar Chellaboina, Wassim M. Haddad

Publication date: 7 October 2010

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170903502823

zbMATH Keywords

periodic orbitsadaptive controlPoincaré mapsmulti-compartment modelstability of periodic orbitsmechanical ventilationlimit cycle analysisbronchial tree

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive control/observation systems (93C40) Medical applications (general) (92C50) Adaptive or robust stabilization (93D21) Control problems involving ordinary differential equations (34H05)

Related Items (5)

Clinical Decision Support and Closed-Loop Control for Intensive Care Unit Sedation ⋮ Output feedback sliding mode control for a linear multi-compartment lung mechanics system ⋮ Optimal determination of respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system ⋮ A computational model of the topographic distribution of ventilation in healthy human lungs ⋮ Predictive tracking control for a multi-compartment respiratory system with amplitude and rate input constraints

Cites Work

• A general two-compartment model for mechanical ventilation
• Inverse of Strictly Ultrametric Matrices are of Stieltjes Type
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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