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Updated: May 10, 2025

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Predictor-Based Output Feedback Control of Tumour Growth With Positive Input: Application to Antiangiogenic Therapy

Mohamadreza Homayounzade1

  • 1Department of Mechanical Engineering, Fasa University, Fasa, Iran.

IET Systems Biology
|April 24, 2025
PubMed

Insights

This study introduces a new control system to manage tumour growth, overcoming challenges like measurement delays and positive input constraints. The novel approach ensures system stability and effective tumour control.

Area of Science:

  • Biomedical Engineering
  • Control Systems Theory
  • Mathematical Oncology

Background:

  • Tumour growth control is complex due to positive input restrictions and measurement delays.
  • Traditional control methods are often ineffective because they cannot handle these biological system constraints.
  • System instability can arise from output measurement delays in closed-loop systems.

Purpose of the Study:

  • To develop a novel control system for tumour growth that addresses input constraints and measurement delays.
  • To ensure the asymptotic stability of tumour growth control systems.
  • To validate the proposed control strategy's effectiveness through numerical comparisons.

Main Methods:

  • Development of a system state prediction observer utilizing delayed output measurements.
  • Application of a backstepping technique to design a feedback controller.
  • Ensuring the positivity of the control input to maintain system stability.

Main Results:

  • The proposed control system effectively manages delays and positive input constraints in tumour growth models.
  • The backstepping controller guarantees asymptotic stability for the closed-loop system.
  • Numerical simulations demonstrate the superiority of the proposed strategy over existing methods.

Conclusions:

  • The novel control system offers a robust solution for tumour growth regulation.
  • The integration of a state prediction observer and a positive-constrained controller is effective.
  • This approach advances the potential for precise and stable tumour treatment strategies.
Keywords:
antiangiogenic therapyoutput feedback controlpositive inputstability analysistime‐delay systemstumour growth control

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