Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach

Inter-individual variability is one of the major challenge in closed-loop control of anaesthesia. This variability could lead to stability problem and must be taken into account during the evaluation of controller. While studies have suggested that variability in nonlinear pharmacodynamics (PD) mode...

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Main Authors: Chang, Jing Jing, Syam, Syafiie
Format: Conference or Workshop Item
Language:English
Published: IEEE 2016
Online Access:http://psasir.upm.edu.my/id/eprint/55926/
http://psasir.upm.edu.my/id/eprint/55926/1/Stability%20analysis%20of%20closed-loop%20anaesthesia%20system%20with%20nonlinear%20uncertainty%20a%20circle%20criterion%20approach.pdf
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author Chang, Jing Jing
Syam, Syafiie
author_facet Chang, Jing Jing
Syam, Syafiie
author_sort Chang, Jing Jing
building UPM Institutional Repository
collection Online Access
description Inter-individual variability is one of the major challenge in closed-loop control of anaesthesia. This variability could lead to stability problem and must be taken into account during the evaluation of controller. While studies have suggested that variability in nonlinear pharmacodynamics (PD) model is much higher than the linear pharmacokinetic (PK) model, most of the robust stability analyses have only considered uncertainty that exists linearly. In this study, robust stability analysis of a closed-loop anaesthesia control system on uncertainty in nonlinearity was performed. The closed-loop control system consists of a PKPD model and a PID controller that was treated as a Lur'e problem. Circle criterion was applied to determine the bound of nonlinearity that guarantees asymptotic stability of the system. Result shows that the stability bound of the controller is sufficiently large for the possible inter-variability in non-linearity among patients.
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institution Universiti Putra Malaysia
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language English
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publishDate 2016
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spelling upm-559262017-06-30T09:54:46Z http://psasir.upm.edu.my/id/eprint/55926/ Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach Chang, Jing Jing Syam, Syafiie Inter-individual variability is one of the major challenge in closed-loop control of anaesthesia. This variability could lead to stability problem and must be taken into account during the evaluation of controller. While studies have suggested that variability in nonlinear pharmacodynamics (PD) model is much higher than the linear pharmacokinetic (PK) model, most of the robust stability analyses have only considered uncertainty that exists linearly. In this study, robust stability analysis of a closed-loop anaesthesia control system on uncertainty in nonlinearity was performed. The closed-loop control system consists of a PKPD model and a PID controller that was treated as a Lur'e problem. Circle criterion was applied to determine the bound of nonlinearity that guarantees asymptotic stability of the system. Result shows that the stability bound of the controller is sufficiently large for the possible inter-variability in non-linearity among patients. IEEE 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55926/1/Stability%20analysis%20of%20closed-loop%20anaesthesia%20system%20with%20nonlinear%20uncertainty%20a%20circle%20criterion%20approach.pdf Chang, Jing Jing and Syam, Syafiie (2016) Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach. In: 2016 IEEE-EMBS Conference on Biomedical Engineering and Sciences (IECBES), 4-8 Dec. 2016, Kuala Lumpur, Malaysia. (pp. 664-668). 10.1109/IECBES.2016.7843533
spellingShingle Chang, Jing Jing
Syam, Syafiie
Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
title Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
title_full Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
title_fullStr Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
title_full_unstemmed Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
title_short Stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
title_sort stability analysis of closed-loop anaesthesia system with nonlinear uncertainty: a circle criterion approach
url http://psasir.upm.edu.my/id/eprint/55926/
http://psasir.upm.edu.my/id/eprint/55926/
http://psasir.upm.edu.my/id/eprint/55926/1/Stability%20analysis%20of%20closed-loop%20anaesthesia%20system%20with%20nonlinear%20uncertainty%20a%20circle%20criterion%20approach.pdf