Abstract
The back-stepping control (BSC) which should made effective in non-holonomic system such as the electronic throttle for the automotive engines was investigated. As for the strong points of our works, the D-BSC that adds the derivative term in the first step of BSC was proposed, and the linear model of the 2^<nd> order delay element was handled in the second step of it. D-BSC was smoothly shifted to former B as the control deviation becomes small further. A lagged dead zone, here, acted effectively. The values of various control parameters were tried by the Matlab/Simulink simulation, and a handy adjustment was clarified. In the simulation results compared with the PID control, D-BSC had an excellent control of achieving both a quick response and detailed resolution.