A TP-LPV-LMI based control for Tumor Growth Inhibition

L. Kovács, György Eigner

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The paper investigates the applicability of an advanced modern control method related to control of tumor growth under angiogenic inhibition. In order to describe the physiological process, a simple mathematical model was applied consisting of two states, the volume of the tumor and the inhibitor value. Extended Kalman Filter (EKF) was applied to estimate the unmeasurable state (inhibitor level). Linear Parameter Varying (LPV) models are used both at controller design (difference based control oriented LPV model) and EKF development (LPV model) level as well. We have used the Tensor Product (TP) model transformation accompanied by Linear Matrix Inequality (LMI) based optimization method in order to design a Parallel Distributed Compensator (PDC) kind TP-LPV-LMI controller considering additive disturbances (on both states) and sensor noise as well. Despite the assumed unfavorable effects the TP-LPV-LMI controller performed well achieving low final tumor volume and less totally injected inhibitor level.

Original languageEnglish
Pages (from-to)155-160
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number26
DOIs
Publication statusPublished - Jan 1 2018

Keywords

  • Extended Kalman Filter
  • Linear Matrix Inequality
  • Linear Parameter Varying Control
  • Tensor Product
  • Tumor Growth Control

ASJC Scopus subject areas

  • Control and Systems Engineering

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