Higher order methods for nonlinear feedback design

An examination is made of the idea of using higher-order spectral information in the design of nonlinear servomechanisms. The higher-order concepts are contained in multidimensional transfer function representations of the Volterra kernels of the plant and its compensation. The procedure applies to the design of nonlinear feedback dynamics and to higher-order feedforward excitation of the closed-loop system. A recursive algorithm for realization of the higher-order kernel transforms obtained in the design is presented. The method is systematic in both design and realization and demonstrates a potential improvement in performance in nonlinear servomechanism design