Abstract
It is difficult to discuss the design method of Model Following Control System (MFCS) for general type of nonlinear systems. Then, many previous papers have investigated the design method of MFCS for the case of particular nonlinear systems, in which the location of nonlinear elements and the characteristics of nonlinearity are restricted. Much of them has dealt with a controlled object which contains input in linear part, and comparatively few design methods in the case of a controlled object containing input in nonlinear part have presented.
In this paper we consider the design problems of the controlled objects which are constructed by a cascade connection of a nonlinear element and a linear element, and propose a design method of the control system following responses of the linear reference model for the specified step input. Nonlinear elements satisfing the gain condition wf(w)>σw2 are treated, where w is control input, f(w) is a characteristics of the nonlinearity and σ is positive number. As the reference model, two cases are considered, namely that are case 1, the order of the model is as same as that of object and case 2, the order of the model is lower than that of object.
Finally, computer simulation results are presented to illustrate the effectiveness of the proposed method.
