© 1993 by Institute of Mathematics and its Applications
Feedback stabilization of a class of singular nonlinear systems
Mathematics Division, Coventry University Priory Street, Coventry CV1 5FB
A class of uncertain, singular descriptor systems is considered which can be decomposed 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 trible (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 output 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.