A Method for Optimization of Nonlinear System Response

If the transient response of the error between the input and the output of a given nonlinear system is known to be asymptotically stable, and if it is desired that this response should follow some model response, the proposed method can be used to compute the optimum values of the adjustable parameters of this system. For using this method, the solution of the nonlinear differential equation governing the system need not be known. The method does not require the incorporation of a physical model for generation of the model response. In some cases, it is not required to know the nonlinearity in explicit analytical form but just the graphical form is enough. The method is applicable to time-invariant noiseless continuous systems subjected to deterministic inputs. Application of the method is illustrated by working out examples. Analog computer plots of the model and optimum responses are presented in every case.