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On the use of state observers in compartmental systems control
| Summary: | In this paper we analyse the performance of stateobservers in the control of compartmental systems under the presence of uncertainties in the system initial state. We combine a state feedback law with positivity constraints and a state observer and prove that, as expected, the mass control objective is still attained. Moreover we show that, for a class of threecompartmental systems of interest, the resulting mass control law also allows reaching a desired steady state. Our results are illustrated by several simulations for the control of the administration of a neuromuscular relaxant to patients undergoing surgery, which show the relevance of incorporating an observer for convergence acceleration even in case the original system is asymptotically stable. |
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| Subject: | Outras ciências da engenharia e tecnologias Other engineering and technologies |
| Country: | Portugal |
| Document type: | book |
| Access type: | Open |
| Associated institution: | Repositório Aberto da Universidade do Porto |
| Language: | English |
| Origin: | Repositório Aberto da Universidade do Porto |
| Summary: | In this paper we analyse the performance of stateobservers in the control of compartmental systems under the presence of uncertainties in the system initial state. We combine a state feedback law with positivity constraints and a state observer and prove that, as expected, the mass control objective is still attained. Moreover we show that, for a class of threecompartmental systems of interest, the resulting mass control law also allows reaching a desired steady state. Our results are illustrated by several simulations for the control of the administration of a neuromuscular relaxant to patients undergoing surgery, which show the relevance of incorporating an observer for convergence acceleration even in case the original system is asymptotically stable. |
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