Positive nonlinear control of tumor growth using angiogenic inhibition

Dániel András Drexler, Johanna Sápi, L. Kovács

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The input of physiological control systems is positive in almost every case (i.e. it is the concentration of a drug), thus the application of controllers which guarantee positive input is crucial. However, most of the controller design methods can not incorporate the constraint that the input has to be positive. We propose a method based on the dynamic extension of the system that guarantees that the output of the controller is always positive, and design nonlinear controller and observer for the extended system. The extended system is linearized using exact linearization, and path tracking control law is applied to ensure the desired tumor volume regression. The output of the resulting controller is always positive, and achieves the desired tumor regression with low control inputs that are desirable in physiological point of view. The results show that the proposed dynamical extension can be sufficiently used along with exact linearization to control nonlinear dynamic systems with positive inputs.

Original languageEnglish
Pages (from-to)15068-15073
Number of pages6
JournalIFAC-PapersOnLine
Volume50
Issue number1
DOIs
Publication statusPublished - Jul 1 2017

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Keywords

  • Biomedical control
  • Feedback linearization
  • Nonlinear control systems
  • Observers
  • Physiological models
  • Tumor therapy

ASJC Scopus subject areas

  • Control and Systems Engineering

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