Linear matrix inequality based control of tumor growth

György Eigner, L. Kovács

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we examine how can be combined the Linear Parameter Varying (LPV) modeling technique with the Linear Matrix Inequality (LMI) based controller and observer design methodology in order to control the tumor growth via antiangiogenic inhibition. We introduce the important physiological knowledge regard to the control problem together with the design procedure. We used a recently developed minimal model which describes the tumor growth dynamics beside anti-angiogenic inhibition and we transformed this model into the difference based qLPV model. After, LMI based controller and observer were designed by pole clustering LMIs and we realized the control structure. Our aim was to develop a control environment which is - however - advanced, but it can be easily used and provides good performance from the designing properties and the robustization possibilities points of view, respectively. As our results showed, the framework provides appropriate results for tumor control.

Original languageEnglish
Title of host publication2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1734-1739
Number of pages6
Volume2017-January
ISBN (Electronic)9781538616451
DOIs
Publication statusPublished - Nov 27 2017
Event2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 - Banff, Canada
Duration: Oct 5 2017Oct 8 2017

Other

Other2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
CountryCanada
CityBanff
Period10/5/1710/8/17

Fingerprint

Tumor Growth
Linear matrix inequalities
Matrix Inequality
Tumors
Linear Inequalities
Observer Design
Minimal Model
Controllers
Controller Design
Design Methodology
Pole
Observer
Tumor
Control Problem
Clustering
Poles
Controller
Modeling
Model

Keywords

  • Anti-angiogenic therapy
  • Linear Matrix Inequality
  • Liner Parameter Varying
  • LPV-LMI-based control
  • Tumor growth control

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Human-Computer Interaction
  • Control and Optimization

Cite this

Eigner, G., & Kovács, L. (2017). Linear matrix inequality based control of tumor growth. In 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 (Vol. 2017-January, pp. 1734-1739). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2017.8122866

Linear matrix inequality based control of tumor growth. / Eigner, György; Kovács, L.

2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Vol. 2017-January Institute of Electrical and Electronics Engineers Inc., 2017. p. 1734-1739.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Eigner, G & Kovács, L 2017, Linear matrix inequality based control of tumor growth. in 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 1734-1739, 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017, Banff, Canada, 10/5/17. https://doi.org/10.1109/SMC.2017.8122866
Eigner G, Kovács L. Linear matrix inequality based control of tumor growth. In 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Vol. 2017-January. Institute of Electrical and Electronics Engineers Inc. 2017. p. 1734-1739 https://doi.org/10.1109/SMC.2017.8122866
Eigner, György ; Kovács, L. / Linear matrix inequality based control of tumor growth. 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Vol. 2017-January Institute of Electrical and Electronics Engineers Inc., 2017. pp. 1734-1739
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