THEORY AND APPLICATION OF THE MODULATING FUNCTION-METHOD .1. REVIEW AND THEORY OF THE METHOD AND THEORY OF THE SPLINE-TYPE MODULATING FUNCTIONS

The progress of research on modulating function methods and their applications over the period of 1954-1990 is summarized and analyzed herein. After introducing the concept of the modulating function method and defining the key properties of modulating functions the history of the method with its developments and applications is given. Applicable to nonlinear systems, the structure the models may have in terms of nonlinearities is explored in detail, which is followed by a discussion of the method in the framework of process identification. The second section introduces the analytically derived spline-type modulating functions and discusses in detail their specific properties.