Constrained control approach for monotone systems: application to tumour chemotherapy
| Autor: | Hamed Agahi, M.J. Yazdanpanah |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Dynamical systems theory Computer science Linear system 02 engineering and technology Strongly monotone Computer Science Applications Human-Computer Interaction Set (abstract data type) Nonlinear system 020901 industrial engineering & automation Monotone polygon Control and Systems Engineering Control theory Bounded function Convergence (routing) Electrical and Electronic Engineering |
| Zdroj: | IET Control Theory & Applications. 13:996-1005 |
| ISSN: | 1751-8652 |
| Popis: | Monotone systems are dynamical systems whose solutions preserve an ordering relative to the initial data. This study develops a set-point regulation approach for a certain class of systems subject to input and state constraints which leads to closed-loop strongly monotone systems. The proposed method gives static output feedback controllers that guarantee the convergence of generic bounded solutions to the desired set-point, satisfy the constraints and preserve the control performance under the input saturation. Although such a set-point regulation problem is too challenging for general non-linear systems, the proposed approach finds some well-organised controllers that satisfy the mentioned control objectives. To investigate the applicability of the proposed control technique, the authors exploit a model of cancer tumour growth in an unhealthy tissue. The medication (control) intends to take solutions to the healthy state through a constrained chemotherapy protocol. The authors present a full dynamical analysis for this system. |
| Databáze: | OpenAIRE |
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