Optimal Control Equivalent Approach to Non-Linear Uncertain Descriptor Systems with Matching Condition

Abstract

In this paper, the solution of the robust control problem of some non-linear semi-explicit descriptor uncertain systems having matching condition and linear algebraic equation with rank deficient of the algebraic coefficient matrix  is considered. An optimal control approach have been developed in the sense that, the solution of an equivalent optimal control problem to the uncertain nonlinear descriptor system, is the solution to the given descriptor one with matching condition. A relation between the robust control problem and its equivalent optimal control problem have been developed with theorems and illustration.