Robust H-inf. output feedback control for discrete-time nonaffine nonlinear systems with structured uncertainties

Abstract

In this paper, the robust output feedback H ∞ control problem for discrete time general nonlinear systems with L2-bounded structured uncertainties is considered. Sufficient conditions for the solvability of the considered problem are represented in terms of two Hamilton-Jacobi inequalities with n independent variables. Based on these conditions, a state space characterization of a robust output feedback H ∞ controller solving the considered problem is provided.