Bang-bang control of second order systems
Sriram, Kaushik P
Goldwyn, Roger M.
Master of Science
The applicability of the Laplace transformation for the determination of the time optimal control of low order linear stationary systems is presented. The method -- which can be interpreted as requiring a control whose transform in combination with the initial conditions places zeros at the poles of the open-loop transfer function -- is used to derive both established and new results for the second order system. Results are presented which enable one to determine switching times of the bang-bang control from the times of transition between preselected null reading state measurements -- practically a more accurate procedure than precise state measurements. Some suitable numerical examples are presented.