Feedback stabilization of a class of singular nonlinear systems

A class of uncertain, singular descriptor systems is considered which can be decom-posed by the singular-value decomposition into two subsystems; one dynamic of order p and one static of order q (p + q = n). The dimension of the output space is assumed to be p and the triple (E,A, B), which is obtained from the linear part of the system, is assumed to be both Y-controllable and R-controllable. A nonlinear out-put feedback strategy is designed which guarantees that the reduced-order dynamic system has the property of global uniform ultimate boundedness provided that certain assumptions hold on the uncertainty of the system. 1