\BOOKMARK [1][-]{section.1}{Introduction}{}% 1 \BOOKMARK [1][-]{section.2}{Evaluation of performance and robustness}{}% 2 \BOOKMARK [2][-]{subsection.2.1}{Output performance}{section.2}% 3 \BOOKMARK [2][-]{subsection.2.2}{Robustness, input usage and noise sensitivity}{section.2}% 4 \BOOKMARK [1][-]{section.3}{Optimal PI Tuning}{}% 5 \BOOKMARK [2][-]{subsection.3.1}{Optimal trade-off between performance \(J\) and robustness \(Ms\)}{section.3}% 6 \BOOKMARK [2][-]{subsection.3.2}{Correlation between robustness and input usage}{section.3}% 7 \BOOKMARK [2][-]{subsection.3.3}{Optimal PI tuning parameters}{section.3}% 8 \BOOKMARK [2][-]{subsection.3.4}{Output disturbance \(setpoint\) versus input disturbance trade-off}{section.3}% 9 \BOOKMARK [1][-]{section.4}{Evaluation of the SIMC PI tuning rule}{}% 10 \BOOKMARK [2][-]{subsection.4.1}{Effect of the tuning parameter c on robustness}{section.4}% 11 \BOOKMARK [2][-]{subsection.4.2}{Optimality of the SIMC-rule}{section.4}% 12 \BOOKMARK [1][-]{section.5}{Improved SIMC-rule}{}% 13 \BOOKMARK [1][-]{section.6}{Obtaining the model from a closed-loop setpoint experiment}{}% 14 \BOOKMARK [1][-]{section.7}{conclusion}{}% 15 \BOOKMARK [1][-]{appendix.A}{Derivation of the Relationship between c and GM, PM and, /}{}% 16 \BOOKMARK [1][-]{appendix.B}{Estimation of parameters 1 and \040from closed-loop step response.}{}% 17