Taylor series analysis of linear optimal control systems incorporating observers

Abstract

In this paper the Taylor series method is successfully applied to the analysis of linear optimal control systems incorporating observers. The basic idea is that the state and error variables are expressed in terms of Taylor series. A very powerful computational algorithm is proposed to study the problem for any length of time. Taking only two or three terms of expansion coefficients is enough to calculate the state and error functions. One illustrative example is given, and a very satisfactory result is obtained.