Finite Horizon H-Infinity Control of Nonlinear Time-Varying Systems Under WTOD Protocol

Abstract

The finite-horizon H∞ control problem is investigated for a class of discrete nonlinear timevarying systems subject to Weighted Try-Once-Discard communication protocol. The equations of state and output under investigation involve both deterministic and stochastic nonlinearities. By resorting to the Taylor series expansion formula, Lyapunov stability theory and cross-amplification lemma, sufficient conditions are established for the existence of the desired observer-based H∞ controller. The gain matrices of the controller and observer are obtained by solving a set of recursive linear matrix inequalities.