Abstract
In run-to-run control, measurements from previous runs are used to push the outputs of the current run towards desired set points. From a run-to-run perspective, the classical dynamics get integrated by each run, thereby leading to a static nonlinear input-output map. This paper shows that, when successive linearization of this nonlinear map is used to adapt the run-to-run controller, convergence may not be achieved. However, convergence can be guaranteed if the controller is based on a linear approximation for which the outputs are in-phase (i.e. within 90°) with the true outputs. A convergence proof based on Lyapunov approach is provided. The theoretical aspects are illustrated through the simulated meal-to-meal control of blood glucose concentration in diabetic patients.
Original language | English |
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Pages (from-to) | 3032-3037 |
Number of pages | 6 |
Journal | Proceedings of the American Conference |
Volume | 4 |
Publication status | Published - 2003 |
Keywords / Materials (for Non-textual outputs)
- Blood glucose control
- Convergence analysis
- Diabetes management
- Run-to-run control
- Sector nonlinearity
- Successive linearization