Table $1$ Notation and values for quarter car model

The suspension system is equipped with sensors that enable full state feedback with a sample time of $\backslash ($ T$\_\{$s$\}=\backslash )\backslash (\backslash$frac$\{1\}\{5000\}\backslash$mathrm$\{$~s$\}\backslash ).$ The sensor and input noise is given in Table $2.$

Table $2$ Noise specification

The road profile used in this project follows the ISO $(8606$ : $1995/15592$ : $2005)$ standard with roughness classification $3$ and $9.$ Higher numbers means more roughness. The vertical road position, $\backslash ($ x$\_\{$r$\}\backslash ),$ on a $1000$ m track for roughness classification $9,$ is shown in Figure $3.$ The road profile is found in the $\backslash ($ m $\backslash )-$file "RoadProfile.m$".$ A vehicle speed of $\backslash (100\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$h$\}\backslash )$ is assumed for all further conditions.