Transient response analysis of linear differential systems on minicomputers

Abstract

A common problem in system simulation is producing the solution to a differential equation of the form x(t)= Ax(t) + Bu(t), where A and B are constants. In particular, simulation often requires solutions for a step, ramp, or constant-acceleration forcing function. Standard numerical integration methods may fail or be extremely slow when implemented on a mini computer because of its short wordlength. This paper presents a new deterministic integration method which will accurately and rapidly produce the solution. Some numerical experiments are shown to demonstrate the new method.