A STUDY ON THE TIME VARYING OPTIMAL CONTROL OF LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS USING RATIONAL APPROXIMATION METHOD

Abstract

            This paper deals with the implementation of rational approximation method to solve the optimal control problem of linear time varying singular systems with a quadratic cost functional. The idea is that the states and the input are expressed in terms of RAM. The method simplifies the system of state equations into a set of algebraic equations which can be solved using a digital computer. Illustrative example is included to demonstrate the validity and applicability of the technique.