A model following control system for nonlinear systems descriptor using stable assignment of invariant zeros

The theory of descriptor system (DS) has been studied intensively in recent years, but little attention was paid to study the model following control system (MFCS) for DS. In this paper, a design method of nonlinear model following control system with disturbances is proposed. We can design nonlinear model following control systems whose inner states are bounded based on the consideration to separate the object system into a linear part and a nonlinear part. In model following control system zeros of linear part must be stable. It is desirable to remove the condition which is a constraint of design. We can remove that condition based on stable assignment of invariant zeros.