Gain scheduling via linear fractional transformations
Systems & Control Letters
Robust and optimal control
Robust Systems Theory and Applications
Robust Systems Theory and Applications
Applied Numerical Mathematics
Technical communique: Interpolation for gain-scheduled control with guarantees
Automatica (Journal of IFAC)
Induced L2-norm minimization of glucose-insulin system for Type I diabetic patients
Computer Methods and Programs in Biomedicine
LPV control and full block multipliers
Automatica (Journal of IFAC)
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This work considers the problem of automatically controlling the glucose level in insulin dependent diabetes mellitus (IDDM) patients. The objective is to include several important and practical issues in the design: model uncertainty, time variations, nonlinearities, measurement noise, actuator delay and saturation, and real time implementation. These are fundamental issues to be solved in a device implementing this control. Two time-varying control procedures have been proposed which take into consideration all of them: linear parameter varying (LPV) and unfalsified control (UC). The controllers are implemented with low-order dynamics that adapt continuously according to the glucose levels measured in real time in one case (LPV) and by controller switching based on the actual performance in the other case (UC). Both controllers have performed adequately under all these practical restrictions, and a discussion on pros and cons of each method is presented at the end.