Reduced-order observer for discrete systems with noises, delayed controls and outputs

This article researches the observer design approaches for discrete systems with noises, delayed controls and outputs. An approach to delay-free transformation and a novel observer are presented. First, a discrete system with delays and noises is transformed into a delay-free system in form. Based on the transformed system, a novel reduced-order state observer is proposed for the original system with noises, control delays and outputs delays. Simulation example demonstrates the feasibility and effectiveness of the delay-free transformation and observer design approaches.