A fundamental control performance limit for a class of positive nonlinear systems

作者：Goodwin Graham C; Carrasco Diego S^*; Seron Maria M; Medioli Adrian M

来源：Automatica, 2018, 95: 14-22.

DOI：10.1016/j.automatica.2018.05.008

• Positive systems
• Nonlinear systems
• Performance limitations
• Blood glucose regulation

A fundamental performance limit is derived for a class of positive nonlinear systems. The performance limit describes the achievable output response in the presence of a positive disturbance and subject to a sign constraint on the allowable input. An explicit optimal input is derived which minimises the maximum output response whilst ensuring that the minimum output response does not fall below a pre-specified lower bound. The result provides a fundamental performance standard against which all control policies, including closed loop schemes, can be compared. Implications of the result are examined in the context of blood glucose regulation for Type 1 Diabetes.

• 出版日期2018-9