REACHABLE SET ESTIMATION FOR SINGULAR DISCRETE-TIME NONLINEAR CONTROL SYSTEMS

Abstract

The reachable set estimation (RSE) and state-feedback controller design issues for discrete-time singular nonlinear systems with bounded disturbance inputs are the focus of this paper. First, a sufficient condition for estimating the reachable set of the considered system is derived, based on the Lyapunov-Krasovskii functional approach and the singular systems decomposition technique. Under zero initial conditions, that condition ensures the existence of an ellipsoid containing the system state. Second, the RSE is taken into account in the controller design.