Analysis and Compensation of High-Speed Electronic Analog-Computer Errors

The bandwidth limitations of the practical analog-computer units lead to dynamic errors in the computer solution. These errors can be represented either as a slight shift in the root positions of the system characteristic equation or as perturbations in the constant coefficients of the differential equation under solution. In this note, the authors report a unified approach to combine these two representations of dynamic errors and also show that these errors can be compensated for by setting the system after initial perturbations in its constant coefficients and in its driving functions have occurred. The approach is generalized for a system of simultaneous linear differential equations with constant coefficients. This technique will be of value in achieving a reasonable degree of accuracy with relatively inexpensive analog-computer components, and in extending the range of operating frequencies for a certain specified accuracy.