Robust small gain state feedback controller for uncertain delay systems using reduction method

Abstract

This paper shows the robustness property of the state-feedback controllers based on reduction method under uncertain long delay. The plants considered here are all of Linear Time Invariant (LTI) plants with input delay, which usually appear in process control in the industry. Without many assumptions, we generalize the concept of boundedness property of class of scalar systems to obtain set of state feedback gains that make the systems robust to the wide variations of uncertain delays.