Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes
Impulsive control systems have shown strong potential to represent and address challenging problems, especially in the biomedical field. In recent research, these problems have been tackled with advances in linear impulsive control systems. However, many biomedical applications are better described...
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9707825/ |
| _version_ | 1818986732474859520 |
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| author | Maria F. Villa-Tamayo Carlos M. Alzate Anet J. N. Anelone Pablo S. Rivadeneira |
| author_facet | Maria F. Villa-Tamayo Carlos M. Alzate Anet J. N. Anelone Pablo S. Rivadeneira |
| author_sort | Maria F. Villa-Tamayo |
| collection | DOAJ |
| description | Impulsive control systems have shown strong potential to represent and address challenging problems, especially in the biomedical field. In recent research, these problems have been tackled with advances in linear impulsive control systems. However, many biomedical applications are better described by nonlinear impulsive models, and therefore, it is necessary to develop analysis tools and control strategies in this context. In the literature, the main properties of nonlinear impulsive control systems have been fully understood, but there is no major development of control strategies. Particularly, there is no substantiation of model predictive control (MPC) strategies maintaining convexity of the optimization problem and closed-loop stability, and there is no control strategy to reduce the offset problem when there are parameter variations, which is a common situation in biological processes. Therefore, the main novelties of this paper are: (i) an MPC formulation extended to nonlinear impulsive systems that addresses non-zero tracking, (ii) the sufficient and necessary conditions to guarantee the stability of the closed-loop system at an equilibrium target, (iii) a comprehensive description of an offset-free MPC to handle low to moderate plant-model mismatches, (iv) the conditions to guarantee offset-free control. Finally, the MPC and offset-free MPC are tested to address the drug administration problem in two biomedical applications: oncolytic virus therapy, to regulate tumor dynamics using doses of oncolytic, and type 1 diabetes treatment, to regulate glycemia using insulin injections. Satisfactory results were obtained in simulation scenarios including parameter variations in nonlinear models that represent the corresponding dynamics. |
| first_indexed | 2024-12-20T18:55:28Z |
| format | Article |
| id | doaj.art-7968bb9959d54745ac702598d0dd9cf7 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-20T18:55:28Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-7968bb9959d54745ac702598d0dd9cf72022-12-21T19:29:31ZengIEEEIEEE Access2169-35362022-01-0110196971970910.1109/ACCESS.2022.31500499707825Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical ProcessesMaria F. Villa-Tamayo0https://orcid.org/0000-0002-0839-4070Carlos M. Alzate1Anet J. N. Anelone2Pablo S. Rivadeneira3https://orcid.org/0000-0001-8392-4556Facultad de Minas, Grupo GITA, Universidad Nacional de Colombia, Medellín, ColombiaFacultad de Minas, Grupo GITA, Universidad Nacional de Colombia, Medellín, ColombiaSchool of Mathematics and Statistics, The University of Sydney, Camperdown, NSW, AustraliaFacultad de Minas, Grupo GITA, Universidad Nacional de Colombia, Medellín, ColombiaImpulsive control systems have shown strong potential to represent and address challenging problems, especially in the biomedical field. In recent research, these problems have been tackled with advances in linear impulsive control systems. However, many biomedical applications are better described by nonlinear impulsive models, and therefore, it is necessary to develop analysis tools and control strategies in this context. In the literature, the main properties of nonlinear impulsive control systems have been fully understood, but there is no major development of control strategies. Particularly, there is no substantiation of model predictive control (MPC) strategies maintaining convexity of the optimization problem and closed-loop stability, and there is no control strategy to reduce the offset problem when there are parameter variations, which is a common situation in biological processes. Therefore, the main novelties of this paper are: (i) an MPC formulation extended to nonlinear impulsive systems that addresses non-zero tracking, (ii) the sufficient and necessary conditions to guarantee the stability of the closed-loop system at an equilibrium target, (iii) a comprehensive description of an offset-free MPC to handle low to moderate plant-model mismatches, (iv) the conditions to guarantee offset-free control. Finally, the MPC and offset-free MPC are tested to address the drug administration problem in two biomedical applications: oncolytic virus therapy, to regulate tumor dynamics using doses of oncolytic, and type 1 diabetes treatment, to regulate glycemia using insulin injections. Satisfactory results were obtained in simulation scenarios including parameter variations in nonlinear models that represent the corresponding dynamics.https://ieeexplore.ieee.org/document/9707825/Impulsive control systemsnon-linear model predictive controloffset-free controlcontrol for biomedical processes |
| spellingShingle | Maria F. Villa-Tamayo Carlos M. Alzate Anet J. N. Anelone Pablo S. Rivadeneira Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes IEEE Access Impulsive control systems non-linear model predictive control offset-free control control for biomedical processes |
| title | Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes |
| title_full | Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes |
| title_fullStr | Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes |
| title_full_unstemmed | Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes |
| title_short | Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes |
| title_sort | offset free nonzero tracking for nonlinear impulsive systems with application to biomedical processes |
| topic | Impulsive control systems non-linear model predictive control offset-free control control for biomedical processes |
| url | https://ieeexplore.ieee.org/document/9707825/ |
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