Adaptive disturbance rejection control for compartmental systems with application to intraoperative anesthesia influenced by hemorrhage and hemodilution effects

International Journal of Adaptive Control and Signal Processing

Volumn 23, Issue 1, 2009, Pages 1-29

  Volyanskyy, Kostyantyn ^a   Haddad, Wassim M ^a   Bailey, James M ^b  

^a Georgia Institute of Technology   (United States)

^b Northeast Georgia Medical Center   (United States)

Author keywords

2 disturbances; Adaptive control; Adaptive stabilization; Automated anesthesia; Compartmental systems; Disturbance rejection; Hemodilution; Hemorrhage; Nonnegative systems; Parametric uncertainty

Indexed keywords

ANESTHESIOLOGY; ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; CONTROL SYSTEMS; CONTROL THEORY; DISTURBANCE REJECTION; DYNAMICAL SYSTEMS; MODEL STRUCTURES; NONLINEAR CONTROL SYSTEMS; PHYSIOLOGICAL MODELS; RECEPTION QUALITY; SIGNAL DISTORTION; STABILIZATION; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS;

ADAPTIVE CONTROL; ADAPTIVE STABILIZATION; AUTOMATED ANESTHESIA; COMPARTMENTAL SYSTEMS; HEMODILUTION; HEMORRHAGE; NONNEGATIVE SYSTEMS; PARAMETRIC UNCERTAINTY;

ADAPTIVE CONTROL SYSTEMS;

EID: 58149201122     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.1029     Document Type: Article

References (37)

1. Berman A, Neumann M, Stern RJ. Nonnegative Matrices in Dynamic Systems. Wiley: New York, NY, 1989.
2. Farina L, Rinaldi S. Positive Linear Systems: Theory and Applications. Wiley: New York, NY, 2000.
3. Haddad WM, Chellaboina V. Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems. Nonlinear Analysis: Real World Applications 2005; 6:35-65.
4. Sandberg W. On the mathematical foundations of compartmental analysis in biology, medicine and ecology. IEEE Transactions on Circuits and Systems 1978; 25:273-279.
5. Anderson DH. Compartmental Modeling and Tracer Kinetics. Springer: Berlin, New York, 1983.
6. Godfrey K. Compartmental Models and their Applications. Academic Press: New York, 1983.
7. Jacquez JA. Compartmental Analysis in Biology and Medicine. University of Michigan Press: Ann Arbor, MI, 1985.
8. Jacquez JA, Simon CP. Qualitative theory of compartmental systems. SIAM Review 1993; 35:43-79.
9. Bernstein DS, Hyland DC. Compartmental modeling and second-moment analysis of state space systems. SIAM Journal on Matrix Analysis and Applications 1993; 14:880-901.
10. Mulholland RJ, Keener MS. Analysis of linear compartmental models for ecosystems. Journal of Theoretical Biology 1974; 44:105-116.
11. Berman A, Plemmons RJ. Nonnegative Matrices in the Mathematical Sciences. Academic Press: New York, NY, 1979.
12. Foster DM, Garzia MR. Nonhierarchical communications networks: an application of compartmental modeling. IEEE Transactions on Communications 1989; 37:555-564.
13. Siljak DD. Large-Scale Dynamic Systems. North-Holland: New York, 1978.
14. Haddad WM, Hayakawa T, Bailey JM. Adaptive control for nonnegative and compartmental dynamical systems with applications to general anesthesia. International Journal of Adaptive Control and Signal Processing 2003; 17(3):209-235.
15. Haddad WM, Hayakawa T. Adaptive control for nonlinear nonnegative dynamical systems. Automatica 2004; 40:1637-1642.
16. Haddad WM, Hayakawa T, Bailey JM. Adaptive control for nonlinear compartmental dynamical systems with applications to clinical pharmacology. Systems and Control Letters 2006; 55:62-70.
17. Bhat SP, Bernstein DS. Lyapunov analysis of semistability. Proceedings of the American Control Conference, San Diego, CA, June 1999; 1608-1612.
18. De Leenheer P, Aeyels D. Stabilization of positive linear systems. Systems and Control Letters 2001; 44(4): 259-271.
19. Brockett RW. Asymptotic stability and feedback stabilization. In Differential Geometric Control Theory, Brockett RW, Millman RS, Sussmann HJ (eds). Birkhauser: Boston, MA, 1983; 181-191.
20. Chellaboina V, Haddad WM. A unification between partial stability and stability theory for time-varying systems. IEEE Control Systems Magazine 2002; 22:66-75; Erratum 2003; 23:101.
21. Aeyels D, Peuteman J. A new asymptotic stability criterion for nonlinear time-variant differential equations. IEEE Transactions on Automatic Control 1998; 43(7):968-971.
22. Khalil HK. Nonlinear Systems (2nd edn). Prentice-Hall: Upper Saddle River, NJ, 1996.
23. Marsh B, White M, Morton N, Kenny GN. Pharmacokinetic model driven infusion of propofol in children. British Journal of Anaesthesia 1991; 67(1):41-48.
24. White M, Kenny GNC. Intravenous propofol anaesthesia using a computerised infusion system. Anaesthesia 1990; 45:204-209.
25. Sigl JC, Chamoun NG. An introduction to bispectral analysis for the electroencephalogram. Journal of Clinical Monitoring 1994; 10(6):392-404.
26. Mortier E, Struys M, De Smet T, Versichelen L, Rolly G. Closed-loop controlled administration of propofol using bispectral analysis. Anaesthesia 1998; 53(8):749-754.
27. Schnider TW, Minto CF, Stanski DR. The effect compartment concept in pharmacodynamic modelling. Anaesthetic Pharmacology Review 1994; 2:204-213.
28. Linkens DA, Abbod MF, Peacock JE. Clinical implementation of advanced control in anaesthesia. Transactions of the Institution of Measurement Control 2000; 22:303-330.
29. Struys M, Coppens M, De Neve N, Mortier E, Doufas A, Van Bocxlaer J, Shafer S. Influence of administration rate on propofol plasma-effect site equilibration. Anesthesiology 2007; 107(3):386-396.
30. Gentilini A, Rossoni-Gerosa M, Frei CW, Wymann R, Morari M, Zbinden AM, Schnider TW. Modeling and closed-loop control of hypnosis by means of bispectral index (BIS) with isoflurane. IEEE Transactions on Biomedical Engineering 2001; 48(8):874-889.
31. Eckenhoff RG, Johansson JS. On the relevance of 'clinically relevant concentrations' of inhaled anesthetics in in vitro experiments. Anesthesiology 1999; 91(3):856-860.
32. Kazama T, Ikeda K, Morita K, Kikura M, Doi M, Ikeda T, Kurita T. Comparison of the effect site KeOs of propofol for blood pressure and EEG bispectral index in elderly and young patients. Anesthesiology 1999; 90:1517-1527.
33. Kazama T, Kurita T, Morita K, Nakata J, Sato S. Influence of hemorrhage on propofol pseudo-steady state concentration. Anesthesiology 2002; 97:1156-1161.
34. Kaya M, Li J. Modeling aspect of hemorrhage and hemodilution. Proceedings of the IEEE Conference on Decision and Control, 28th Annual Northeast, 2002; 177-178.
35. Bailey JM. Management of the hemodynamically unstable patient. In Current Reviews in Clinical Anesthesia, Chapter 12, Moya F (ed.), vol. 20, Miami, 2000.
36. Glass PS, Goodman DK, Ginsberg B, Reves JG, Jacobs JR. Accuracy of pharmacokinetic model-driven infusion of propofol. Anesthesiology 1989; 71:A277.
37. Haddad WM, Volyanskyy KY, Bailey JM. Neuroadaptive output feedback control for automated anesthesia with noisy EEG measurements. Proceedings of the American Control Conference, Seattle, WA, June 2008; submitted.