Control of nonlinear physiological systems via LPV framework

György Eigner, Dániel András Drexler, L. Kovács

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

Abstract

We introduce a controller design methodology for nonlinear systems via complementary Linear Parameter Varying (LPV) controller and observer structures. The recently developed method is able to control physiological systems even with complex nonlinearities - without using Linear Matrix Inequalities (LMI) or other techniques requiring iterations. The developed method is based on the classical state feedback theorems, matrix similarity theorems and supplementary controller and observer structure which efficiently uses the mathematical properties of the parameter space of the LPV system. The main benefits of the proposed method is that the controller design does not require mathematical tools needing iteration thus high computational capacity. We used a nonlinear compartmental model in order to demonstrate the application of the method. The results showed that the developed complementary LPV controller and observer structures perform well on both the LPV systems and the original nonlinear system as well.

Original languageEnglish
Title of host publicationProceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2088-2093
Number of pages6
Volume2018-February
ISBN (Electronic)9781538621035
DOIs
Publication statusPublished - Feb 5 2018
Event12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 - Siem Reap, Cambodia
Duration: Jun 18 2017Jun 20 2017

Other

Other12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
CountryCambodia
CitySiem Reap
Period6/18/176/20/17

Fingerprint

Linear Parameter-varying Systems
Observer
Controllers
Controller
Controller Design
Nonlinear Systems
Nonlinear systems
Iteration
Compartmental Model
Theorem
State Feedback
Design Methodology
Nonlinear Model
Matrix Inequality
Parameter Space
Linear Inequalities
Linear matrix inequalities
State feedback
Nonlinearity
Framework

ASJC Scopus subject areas

  • Control and Optimization
  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering

Cite this

Eigner, G., Drexler, D. A., & Kovács, L. (2018). Control of nonlinear physiological systems via LPV framework. In Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 (Vol. 2018-February, pp. 2088-2093). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIEA.2017.8283182

Control of nonlinear physiological systems via LPV framework. / Eigner, György; Drexler, Dániel András; Kovács, L.

Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Vol. 2018-February Institute of Electrical and Electronics Engineers Inc., 2018. p. 2088-2093.

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

Eigner, G, Drexler, DA & Kovács, L 2018, Control of nonlinear physiological systems via LPV framework. in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. vol. 2018-February, Institute of Electrical and Electronics Engineers Inc., pp. 2088-2093, 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017, Siem Reap, Cambodia, 6/18/17. https://doi.org/10.1109/ICIEA.2017.8283182
Eigner G, Drexler DA, Kovács L. Control of nonlinear physiological systems via LPV framework. In Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Vol. 2018-February. Institute of Electrical and Electronics Engineers Inc. 2018. p. 2088-2093 https://doi.org/10.1109/ICIEA.2017.8283182
Eigner, György ; Drexler, Dániel András ; Kovács, L. / Control of nonlinear physiological systems via LPV framework. Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. Vol. 2018-February Institute of Electrical and Electronics Engineers Inc., 2018. pp. 2088-2093
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