On a Discontinuous Optimizing Control by Correlation Method

抄録

The characteristics of the optimalizing control system, which searches periodically the extremum by a correlation method, was analyzed in detail. The stability depends largely upon the initial condition as well as the parameters of the system. Corresponding to the initial value there exist the following three typical cases of response : (i) convergence to the optimum state, (ii) the oscillatory state, (iii) divergence. The conditions for the stability with respect to the initial value were obtained and the stable region was determined on the phase plane. The transient response for the displacement of the extremum point, and the influence of the noise upon the steady state error were studied. The integral of the error and the hunting loss were employed as the criteria, and the effect of the system parameters on the criteria was clarified. A design method based on the above results was proposed.