Numerical analysis of complex plant model optimal control

It is frequently desired to stabilize plants with cost performances, such as the minimum time, fuel consumption, mean-square error etc. The numerical method is suitable to solve such problems, except for cases where analytical solutions can be derived. Although it is inadequate for the on-line computer control processing because of the long computing time, it may be practically used for the analysis of the characteristics of a given plant model and in search of a simple optimal feed-back control law for the real time computation. If a computer aided design program, which carries out the calculation of these processes, is obtained, it may be practically used to design the optimal control system.