Title :
Passivity-based neural network adaptive output feedback control for nonlinear nonnegative dynamical systems
Author :
Hayakawa, Tomohisa ; Haddad, Wassim M. ; Bailey, James M. ; Hovakimyan, Naira
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
3/1/2005 12:00:00 AM
Abstract :
The potential clinical applications of adaptive neural network control for pharmacology in general, and anesthesia and critical care unit medicine in particular, are clearly apparent. Specifically, monitoring and controlling the depth of anesthesia in surgery is of particular importance. Nonnegative and compartmental models provide a broad framework for biological and physiological systems, including clinical pharmacology, and are well suited for developing models for closed-loop control of drug administration. In this paper, we develop a neural adaptive output feedback control framework for adaptive set-point regulation of nonlinear uncertain nonnegative and compartmental systems. The proposed framework is Lyapunov-based and guarantees ultimate boundedness of the error signals corresponding to the physical system states and the neural network weighting gains. The approach is applicable to nonlinear nonnegative systems with unmodeled dynamics of unknown dimension and guarantees that the physical system states remain in the nonnegative orthant of the state-space for nonnegative initial conditions. Finally, a numerical example involving the infusion of the anesthetic drug midazolam for maintaining a desired constant level of depth of anesthesia for noncardiac surgery is provided to demonstrate the efficacy of the proposed approach.
Keywords :
Lyapunov methods; adaptive control; closed loop systems; drug delivery systems; feedback; neurocontrollers; nonlinear control systems; time-varying systems; uncertain systems; adaptive output feedback control; clinical pharmacology; closed-loop control; electroencephalography; exponential passivity; neural network; noncardiac surgery; nonlinear nonnegative dynamical systems; output feedback; uncertain system; Adaptive control; Adaptive systems; Anesthesia; Control systems; Medical control systems; Neural networks; Nonlinear control systems; Output feedback; Programmable control; Surgery; Adaptive control; automated anesthesia; bispectral index (BIS); electroencephalography; exponential passivity; neural networks; nonlinear nonnegative systems; nonnegative control; output feedback; Adaptation, Physiological; Feedback; Neural Networks (Computer); Nonlinear Dynamics;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2004.841782